TNPSC - PREVIOUS YEAR QUESTIONS

MATHS

SI.NO CONTENTS PAGE.NO

MATHS
1. GROUP - I 3 – 17

2. GROUP – II 18 - 24

3. GROUP – IIA 25 - 31

4. GROUP – IV 32 – 40

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 TNPSC - GROUP - I PRELIMS – 2011 Then to draw a pie diagram the degree
PREVIOUS YEAR QUESTIONS value is.
MATHS A) 1350 B) 864
1 C) 150 D) 100
1. f (x) = 𝑥 2 and g(x) = e-9x then (fog) (x) is.
1 1 10. Find out the missing observation of the
A) 𝑒 18𝑥
B) 𝑒 −18𝑥
following data with mean 5. 2,6,5,3,8,2,_ ,
1 1
C) 2 D) 2 9,7,7,6,4.
𝑒 −18𝑥 𝑒 18𝑥
2. Standard deviation of a set of 50 A) 3 B) 2
observation is 6.5. If value of each C) 1 D) 0
observation is increased by 5, then the 11. Relative frequency is defined as.
𝑇𝑜𝑡𝑎𝑙 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 Class frequency
standard deviation is. A) 𝐶𝑙𝑎𝑠𝑠 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
B) Total frequency
A) 2.5 B) 1.5 𝐶𝑙𝑎𝑠𝑠 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
C) × 100 D) None of these
C) 6.5 D) 1.0 𝑇𝑜𝑡𝑎𝑙 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦

3. What is the value of 12. Marks obtained by 7 students in computer

0.0104−0.002 𝑜𝑓 0.12+0.36 ×0.002 science are 45,40,60,90,80,65,55. The
?
0.12 ×0.12 median value for the data is..
A) 0.1001 B) 0.1101 A) 90 B) 60
C) 0.12 D) 0.13 C) 80 D) 55
1 4 2
4. If A = 2 −1 .f(x) - x – 9, then f(x) is. 13. Given the following :
−8 5 0 0 Caus Fir Traff Fal Bur Falli Mi
A) B)
−5 −8 0 0 e of e ic ls ns ng sc
C) -16 D) 12
Accid obje
5. A bought a horse for Rs.10,000 and sold it
ent cts
to B at 10% profit and B sold it to C at 10%
No. 10 15 20 15 35 5
loss. The amount paid by C is.
Of.
A) Rs. 10,000 B) Rs.9,900
Accid
C) Rs.9,999 D) Rs.11,000
ent
6. The packing fraction of a face centered
The suitable diagram for the above data is
cubic lattice is .
A) Bar – diagram B) Histogram
A) 36% B) 52%
B) C) Pei- diagram D) Squares
C) 68% D) 74%
14. The table below gives the distribution of the
7. A shopkeeper marks his goods to gain 30%.
age of women at the time of marriage:
But he allows 10% discount for down cash
Age group (in No. of
payment. His profit per cent is.
years) women
A) 20% B) 17%
C) 15% D) 13% 15 - 19 11
8. Function(s) of statistics is/are. 20 – 24 36
A) Collection of data. 25 – 29 28
B) Compilation and tabulation of data. 30 – 34 13
C) Analysis of data
35 – 39 7
D) All of these.
9. The total expenditure of a family is Rs.1.080 40 – 44 3
and they are spending Rs.450, for food. 44 – 49 2

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 The given distribution is. −25 25
(C) (D)
9 9
A) Not continuous
22. In 2013, the population of a town is 1,
B) Continuous.
25,000. If it is increased by 7% in the next
C) Cumulative distribution
year. Find the population in 2014.
D) Smoothened distribution
(A) 8750 (B) 1,33,750
15. consider the following Statements:
(C) 1,16,250 (D) 1,25,000
Assertion (A) : Diagrams can be used for
23. Salaries of Ravish and sumita are in ratio
comparison only.
2:3. If the salary of each is increased by
Reason (R) : Diagrams cannot study
Rs.4,000, the new ratio becomes 40:57
mathematical relationship.
.What is Sumita‟s present salary?
Now select your answer according to the
(A) Rs.32,000 (B) Rs.34,000
coding scheme given below:
(C) Rs.38,000 (D) Rs.40,000
A) Both (A) and (R) are true 2
B) (A) is true, but ( R) is false. 24. Which is largest in 28%, 2.8%, 9 and 0.25?
C) (A) is false, but ( R) is true (A) 28% (B) 2.8%
2
D) Both (A)and ( R) are false. (C) (D) 0.25
9
25. A horse and two cows together cost Rs.
GROUP – I PRELIMS – 2014 680.If a horse cost Rs.80 more than a cow
then the ratio of cost of horse and cow is.
16. ________ is the binary equivalent of (12)10 (A) 7:5 (B) 5:7
(A) 0001 0010 (B) 1100 (C) 8:9 (D) 9:8
(C) 1101 (D) 1010 1 3 6
26. 4
Of 5 of 5 of a number is 54. Then the
17. The mean of 5 observations is 25, if one of
the observation is excluded the mean number is.
becomes 20. The excluded number is. (A) 280 (B) 300
(A) 45 (B) 40 (C) 320 (D) 350
1 4 5 7 2 5
(C) 20 (D) 10 27. If A :B = 3 : 9 , B:C = 6: 12, C:D = 7 : 14 then
18. The mean of first five prime number is. A :B:C:D is
(A) 5.0 (B) 4.5 (A) 40:28:35:30 (B) 30:40:28:35
(C) 5.6 (D) 6.5 (C) 28:30:40:35 (D) 35:30:28:40
19. If „l‟ is the standard deviation of the 28. If (3x+2y): (3x-2y) =5:2. Then x: y is.
elements∝ , 𝛽, 𝛾. Then the standard (A) 5:2 (B) 14:9
deviation of the elements ∝ +3, 𝛽 + 3, 𝛾 + 3 (C) 9:14 (D) 2:5
is 29. A rectangular carpet has an area of 60sq.m.
(A) l+3 (B) l – 3 Its diagonal and longer side together equals
(C) l (D) 3 5 times the shorter side. The length of the
20. If the arithmetic mean of 7, 5, 13, x and a be carpet is
10, then the value of x is. (A) 5 m (B) 12 m
(A) 10 (B) 16 (C) 13 m (D) 14.5 m
(C) 12 (D) 15 30. The number of small cubes with edge 10 cm
𝑃 1 27𝑃−34𝑄
21. If 𝑄 = 3 then is that can be accommodated in a cubical box
36𝑃−3𝑄
14 −14 of edge 1 m is
(A) 3
(B) 3 (A) 10 (B) 100

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 (C) 1000 (D) 10000 3. Rathna scored more than Rama and.
31. The diameter of a sphere is 6cm. It is 4. Ramya scored more than Rama but less
melted and drawn into a wire of diameter than Rathna then who scored the
2mm. The length of the wire is. highest?
(A) 12 m (B) 18 m (A) Rama (B) Rani
(C) 36 m (D) 66 m (B) (C) Rathna (D) Ramya.
32. A uniform circular path of width 4 m is laid 37. If 8 – 5 ×4 = 44 and 15 – 3 × 3 = 48 then 16
out around a circular park of radius 48m. – 4 × 5 =?
Find the area of the circular path. (A) 0 (B) 69
(A) 1256 m2 (B) 1255 m2 (C) 20 (D) 25
2
(C) 400 m (D) 1254 m2
38. Find the next diagram :
33. If B = 2, BALL = 27 then BOOK =?
(A) 40 (B) 41
(C) 42 (D) 43 :
:: :
34. Find the missing number: ?
3 ?

7 11 27 5

7 14
A) B)
2 6
14
9 4 C) D)

39. If the sum of two numbers is 1020 and their

(A) 10 (B) 9 difference is 140 then the numbers are.
(C) 8 (D) 7 (A) 680,440 (B) 540,580
(C) 580,440 (D) 520,500
35. Three view of a cube are given below. What 2.48×2.48−1.52×1.52
40. The value of is
is the letter opposite to A? 0.96
(A) 4.0 (B) 4.4
k B (C) 1.4 (D) 1.0
H x+y x-y
Ak B 41. If 2 = 2 = 16 then y is
M K P H (A) 2 (B) 4
(C) 0 (D) 1
42. If x+y=12,xy=32 then 1/x+1/y is
(A) H (B) P (A) 1/8 (B) 1 / 2
(C) B (D) M (C) 1/4 (D) 3/8
1 3 2
36. If 43. 1+ 5of 610 - 9 = ?
1. Rama scored more than Rani. (A) 1 (B) 0
2. Rani scored less than Rathna. (C) 2 (D) 1/2

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 44. By selling an article for Rs.480, a person 52. If a square and a rhombus stand on the
lost 20% for what amount should he sell it to same base, then the ratio of the area of the
make a profit of 20%? square and the rhombus is
(A) Rs.800 (B) Rs.760 (A) Greater than 1 (B) equal to 1
(C) Rs.720 (D) Rs.680 (C) equal to 1/2 (D) equal to 1/4
45. The highest common factor and lowest 53. Two taps A and B can fill a tank in 10 hours
common multiple of two numbers are 12 and 15 hours respectively. Both the taps are
and 144 respectively. If one number is 36. opened for 4 hours and then B is turned off.
Find the other number. The time taken by A to fill the remaining
(A) 49 (B) 50 tank is.
(C) 36 (D) 48 12 13
(A) 5
hours (B) 10 hours
46. Three numbers are in the ratio 3:4:5 and 10
(C) 6 hours (D) hours
their LCM is 240. Then the HCF of these 3
numbers is. 54. A and B can do a work in 12 days B and C
(A) 4 (B) 8 can do it in 15 days C and A can do it in 20
(C) 12 (D) 20 days. Then the number of days required to
47. LCM of two numbers is 14 times their HCF. complete the work A, B, C together is.
The sum of LCM and HCF is 600. If one (A) 5 (B) 10
number is 280 then the other number is. (C) 15 (D) 20
(A) 40 (B) 60 55. If 9 girls can prepare 135 garlands in 3
(C) 80 (D) 100 hours, number of girls to prepare 270
48. The compound interest on Rs.30, 000 at 7% garlands in 1 hour is.
per annum is Rs.4, 347. The period in years (A) 20 (B) 54
is (C) 43 (D) 19
1
(A) 2 (B) 22 56. The sum of numbers common to two
(C) 3 (D) 4 diagram is
49. A sum of money doubles itself in 20 years in
simple interest. Then the rate of interest per
35
annum is.
(A) 5% (B) 4% 2642 20
(C) 5.5% (D) 4.5%
50. The difference between compound interest 26 1 15
and the simple interest on Rs.1,250 for 2 50
years at 8% is
(A) Rs. 2 (B) Rs.4 45
(C) Rs.6 (D) Rs.8
51. A flower garden is in the shape of a (A) 118 (B) 110
rhombus. The length of its diagonals is 18m (C) 108 (D) 130
and 25m. Find the area of the flower 57. (1) D is taller than C but not as tall as B.
garden. (2) C is taller than A.
(A) 450m2 (B) 225m2 Who among A, B, C and D is the tallest?
2
(C)324m (D) 18m2 (A) A (B) B
(C) C (D) D

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 58. Find the next diagram: 𝑥 3 5𝑥+2𝑦
65. If = , then is equal to.
𝑦 5 5𝑥−2𝑦
A) 3 B) 5
2 5
: :: : ? C) 5
D) 2
66. A Person‟s present age is two-fifth of the
age of his mother. After 8 years, he will be
one half of the age of his mother. How old is
the mother at present?
A) 42 B) 40
(A) (B) C) 45 D) 48
1.2×1.2×1.2−0.2×0.2×0.2
67. Find the value of 1.2×1.2+1.2×0.2+0.2×0.2

(C) (D) A) 1.2 B) 1

C) 0.2 D) 1.4
68. A bicycle marked at Rs.1, 500 is sold for
Rs.1, 350. What is the percentage of
59. Find the missing number in the following discount?
series: A) 12 B) 15
1,8,9,64,25,?,49. C) 11 D) 10
(A) 210 (B) 212 69. Which one of the following is the smallest
(C) 214 (D) 216 ratio?
7:13,17:25,7:15,15:23
GROUP – I PRELIMS – 2015 A) 7:13 B) 17:25
C) 7:15 D) 15:23
62. Among the 50 students in a class, what 70. In a mixture of 60 litres, the ratio of milk and
percentage of students biology and water is 2:1. If this ratio is to be 1:2 then
chemistry? what is the quantity of water to be further
Subjects No.of . Students. added?
Mathematics 6 A) 20 L B) 30L
Physics 12 C) 50 L D) 60 L
Chemistry 15 71. Two numbers are in the ratio 3:5. If 9 be
Biology 8 subtracted from each, then they are in the
Computer science 9 ratio 12:23. Find the second number.
A) 64% B) 46% A) 52 B) 53
C) 23% D) 77% C) 54 D) 55
63. For any n observation of data, what is the 72. Sum of square of three positive numbers is
value of ( 𝑥) - n𝑥 ? 608 and they are in the ratio 2:3:5. Then
A) n( 𝑥) B) (n-2) 𝑥 find the numbers.
C) (n – 1) 𝑥 D) 0 A) 6,9,15 B) 8,12,20
0.728 ×0.728−0.272 ×0.272
64. Simplify: 0.456
C) 10,15,25 D) 14,21,35
1
A) 0.456 B) 1 73. If 30% of A = 0.25 of B= 5 of C, then find the
C) 0.728 D) 0.272 ratio A:B:C
A) 15:12:10 B) 12:15:10
C) 10:12:15 D) 10:15:12
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 74. What is the third proportional to 0.034 and A) 12m B) 14m
0.50? C) 15m D) 18m
A) 0.74 B) 0.75 82. The length of a chain used as the boundary
C) 0.76 D) 0.77 of a semicircular park is 72m. What is the
75. In a cylinder, if radius is doubled and height area of the park?
is halved then what happens to the curved A) 77 m2 B) 91 m2
surface area? C) 126m2 D) 308 m2
A) Halfed B) Doubled 83. Find the least number which when divided
C) Does not change D) Four times by 5, 6, and 7 and 8 leaving a remainder 3,
76. The length of side of a rhombus is 5 m and but when divided by 9 leaves no remainder.
one of its diagonal is 8m. Then what is the A) 1677 B) 1683
length of other diagonal? C) 2523 D) 3363
A) 5m B) 7m 84. Find the next number in the following series.
C) 6m D) 8m 1
4,6,9,13 2
77. A,B and C can complete a piece of work in 1 1
A) 20 B) 22
24,6 and 12 days respectively. If they work 4 4
1
together, in how many days they will C) 19 D) 17
2
complete the same work? 85. If the time taken by a cup of tea to cool from
A) 1/24 day B) 7/24 day 85℃ to 75 ℃ is 1 minute, then time taken by
C) 24/7days D) 24/11 days it cool form 65℃ to 55 ℃ is
78. 12 men complete the 2400 sq.m ploughing A) 50 Seconds B) exactly 1 minute
work in 10 days. How many men are C) more than 1 minute D) 30 Seconds
required to complete 3600 sq.m ploughing 86. What is the standard deviation of the first n
work in 18 days? natural numbers?
A) 10 men B) 15 men
𝑛 2 −1 𝑛 2 +1
C) 18 men D) 20 men A) B)
12 12
79. 2 men and 7 boys can do a piece of work in
𝑛(𝑛+1) 𝑛 𝑛+1 (2𝑛+1)
14 days, 3men and 8 boys can do the same C) D)
2 6
in 11 days. In how many days, 3 times the 87. In the series.
work can be completed by 8 men and 6 64122874215386217141328
boys? 6
A) 21 days B) 18 days How many pairs of alternate numbers have
C) 24 days D) 36 days. a different of 2?
80. The length and height of a hall are 8m, A) 2 B) 4
10m,4m, respectively and the hall has one C) 6 D) 8
door of area 3m× 1.5m. find the cost of 88. If + means ×, × means - , ÷ means + and –
painting the walls at the ratio of Rs.200 per means ÷ then what is the value of
square metre. (175 – 25) ÷ (5 +20) × (3 +10)
A) Rs. 28,800 B) Rs.59,900 A) 265 B) 78
C) Rs.27,900 D) Rs.60,800 C) 77 D) 35
81. If the capacity of a cylindrical tank is 1848
m3 and the diameter of its base is 14m,
then find the depth of the tank?

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 2 96. The different between the compound
89. In a geometric series, if the fourth term is 3
16 interest and simple interest on a certain sum
and seventh term is 81 , then what is the first
at 8% per annum for 2 years is Rs.240. Find
term of the series? the sum.
2 4
A) B) A) Rs.35,000 B) Rs.35,700
3 9
8 9 C) Rs.37,500 D) Rs.40,000
C) 27
D) 4
97. If the rate of simple interest is 12% per
90. Find the percentage increase in the area of annum, then find the amount that would get
a triangle if its each side is doubled. interest of Rs.6,000 per annum.
A) 100% B) 200% A) Rs.82,000 B) Rs.50,000
C) 300% D) 400% C) Rs.72,000 D) Rs.45,000
91. The sequence follows a regular pattern. 98. Three solid metal cubes, whose edges are 6
Find the correct letter for question mark, to cm,8cm and 10 cm are melted and a new
complete the sequence. C E I K O Q? cube is made. Find the length of edge of the
A) R B) S new cube.
C) T D) U A) 12cm B) 24 Cm
4 3
92. Find the Least Common Multiple of 5 , 10 C) 20 Cm D) 48 cm
7 99. Find the number in the place of question
and 15 .
84 5 mark:
A) 5
B) 84 21,25,34,50,?,111,160
2 12
C) D) A) 86 B) 72
15 15
93. Three numbers are in the ratio 1:2:3.Their C) 75 D) 59
highest common factor is 12. Find the 100. A can do a work in 10 days and B can do
numbers. the same work in 15days. They earn
A) 12,24,36 B) 24,48,72 Rs.1,500 together. How will they share this
C) 12,24,48 D) 48,60,72 amount?
94. If the two numbers are in the ratio of 2:3 and A) Rs.850 and Rs.650
the product of their highest common factor B) Rs. 900 and Rs.600
and least common multiple is 150, then find C) Rs. 950 and Rs.550
the sum of the numbers. D) Rs.1,000 and Rs.500
A) 5 B) 10 101. If 6 men and 8 boys can do a piece of work
C) 20 D) 25 in 10 days while 26 men and 48 boys can
95. Alex invested an amount of Rs.8,000 in a do the same work in 2 days, then what is
fixed deposit scheme for 2 years at the time taken by 15 men and 20 boys to
compound interest rate 5% per annum. How complete the same type of work?
much amount will Alex get on maturity of the A) 4 days B) 5 days
fixed deposit? C) 6 days D) 7 days.
A) Rs.8,600 B) Rs.8,620 102. A plot of land is in the form of a quadrilateral
C) Rs.8,820 D) Rs.8,840 where one of its diagonals is 100m long. If
two vertices on either side of this diagonals
are 50 m away from the diagonal. Find the
area of the plot of land.

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 A) 5000 m2 B) 1000 m2 A) 24m B) 21m
2
C) 10000 m D) 500 m2 C) 30m D) 27m
103. If “NOIDA” is written as 39658, how will 109. 1, 4, 9, 11, 14, 16, ---------- next to 16 is
“INDIA” be written? A) 19 B) 17
A) 36568 B) 63568 C) 18 D) 16
C) 63569 D) 65368 110. A man can do a work in 3 days alone and a
women can do the same work in 9 days
104. Read the following statements: alone. If both are work together in how
1. Either A and B are of the same age or A many days they finished the same work.
is older than B. 14
A) 9
days B) 6 days
2. Either C and D are of the same age or D 1 1
C) 24 days D) 32 days
is older than C.
3. B is older than C. 111. Work in a for 300 men had provision for 90
Which one of the conclusions can be drawn days after 20 days 50 men left the fort. How
from the above statements? long would the food last at the same rate?
A) A is older than C A) 160 days B) 210 days
B) D is older than C C) 84 days D) 80 days
3 3 3
C) A is older than B 112. Simplify: 729 - 27 + 729
3 3 4
D) B and D are of the same age. 512 + 343 - 256
105. The minute hand of a circular clock is 14 11 10
A) 10
B) 11
Cm long and that of hour hands is 7 cm. 9 12
Find how far does the tip of the minute and C) 10
D) 11
hour hand move in 30 minutes? 113. How many years will take certain amount to
A) 88cm, 3.66 cm B) 22 cm, 0.915 cm double at 8% interest per annum at simple
C) 44 cm, 1.83 cm D) 1.83 cm, 88 cm interest?
106. A heap of paddy is in the form of a right
A) 131 2 years B) 121 2 years
circular cone whose diameter is 4.8m and
height 1.8m. If the help is to be covered C) 10 1 2 years D) 9 years
exactly by a canvas to protect it from rain, 114. Surface Area of a hemisphere is 2772 cm2
find the area of the canvas required. then the total surface are of hemisphere is
A) 22.6 m2 B) 27.2 m2 A) 4158 cm2 B) 3172 cm2
C) 13.6 m2 D) 11.3 m2 C) 3882 cm2 D) 4258 cm2
x y z
107. If a =b, b = c, c = a, then what is the value 115. Choose the correct option to complete the
of xyz? alphabet letter series ---- ABA ---- CABC --
A) 3 B) 4 --- DCBA ----- BAB ------- A
C) 9 D) 1 A) ABDCA B) BCADC
C) ABCDD D) CBDAA
GROUP – I PRELIMS – 2017 𝑥+3 3𝑥+9
116. Simplify : 𝑥 3− 1
+ 𝑥 2 +𝑥+1
MATHS
1
A) 3𝑥+1
B) 3x + 1
108. There are 8 mango trees in a straight line. 1
C) 3x - 3 D) 3𝑥+1
The distance between each mango tree with
117. Sasi purchased a house for Rs. 27,75,000
other is 3 metres. What is the distance
and spent Rs.2,25,000 on its interior
between the first and the eighth tree?

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 decoration. He sold the house to make a But if the numerator is increased by 6 and
profit of 40%. What is the selling price of the 11
the denominator is doubled we get 14 , what
house?
is the fraction?
A) Rs.31,20,000 B)Rs. 36,00,000 7 5
C) Rs.42,00,000 D) Rs.48,00,000 A) 5
B) 7
21 17
118. Simplify: (1350 ÷15 -5) (47.5 – 15 x 2.5) C) D) 21
17
A) 85 B) 10.5 126. A boy cut a sector containing an angle of
C) 10.5 D) 8.5 1400 from a circle of radius 15 cm and he
119. Choose the correct option to complete the folded the sector into a cone. What is the
alphabet letter series. 22
curved surface area of the cone (π= )
AB ---- B, BC--- C, ----AB -----, AB ----- B 7

A) CCAAC B) CBABC A) 572 sq.cm B) 527 sq. cm

C) CACAC D) BCCAB C) 275 sq.cm D) 257 sq.cm.
120. What should come in place of the question 127. If radii of two cylinders are in the ratio 5: 3
mark in the following series? and their heights are in he ratio 3:5 then
24, 536, 487, 703, 678, ? ratio of their volumes is
A) 736 B)842 A) 5:5 B) 3:3
C) 742 D) 836 C) 9:25 D) 5:3
121. Sum to n terms of an Arithmetic progression 128. Product of two position number is 34560.
is 2n2 + n then eighth term is The LCM is sixty times of its GCD. Then the
A) 136 B) 36 difference of LCM and GCD is
C) 131 D) 31 A) 1416 B) 1424
122. .a,b,c are said to be in Harmoni Progression C) 1460 D) 1464
1 1 1 129. Find the compound interest on Rs. 31,250
if their reciprocals 𝑎 , 𝑏 ,𝑐 are in Arithmetic
at 8% p.a for 3 years compounded
progression. What would be the value of x annually?
for which 3, x, 6 are in Harmonic A) Rs. 8006 B) Rs. 8106
progression. C) Rs. 8096 D). 8116
A) 41 2 B)4 130. A number is increased by 10% and then
C) 5 D) 51 2 decrease by 10%. Find the net decrease
percent.
A) 0% B) 1%
123. .Value of 3, 3, 3, 3 … …
C) 2% D) 3%
A) 3 B) infinity 131. A school boy walks from his house to school
C) 0 D) 3 at the rate of 4 kmph. He reaches the
124. Introducing a girl, Raj said, “Her mother is school 20 minutes earlier than the schedule
the only daughter of my mother-in-law”. time. If he walks at the rate of 3 kmph, he
How is Raj related to the girl? reaches the school 20 minutes late. What is
A) Uncle B) Father the distance of the school from his house?
C) Brother D) Husband A) 12 km B) 480 km
125. A fraction is such that if the numerator is C) 21 km D) 8 km
1 12 1 7 4
multiplied by 2 and the denominator is 132. If 2(2𝑥+3𝑦) + 7(3𝑥−2𝑦) = 2 and 2𝑥+3𝑦 + 3𝑥−2𝑦 =
10
reduced by 4 we get 3
, 2 then values of x and y are respectively

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 A) 2, 1 B) 1, 2 141. Median of 12, 17, 5,8,13,6,9 is
C) -1, -2 D) -2, 1 A) 8 B) 9
133. The radii of two right circular cylinders are in C) 12 D) 17
the radio 4:3 and their heights are in the 142. Range and Range coefficient of the data -3,
radio 7:4 then the radio of their curved -2, -1, 0, 1, 2, 3, are respectively
surface areas is in the radio A) 0 and 6 B) 6 and 0
A) 3:5 B) 5:3 C) 0 and 0 D) 6 and ∞
C) 3:7 D) 7:3 143. Find out unknown number?
134. A wall to be constructed with length 60m, 20 13 07
breath 3 m height 5m. How many bricks are 30 08 22
required to construct a wall with length 30 40 ? 28
cm, breadth 15 cm and height 20cm? A) 10 B) 12
A) 1,50,000 B) 1,25,000 C) 16 D) 20
C) 1,00,000 D) 1,75,000 144. The diameter of a circle is 10 cm. “p” is the
135. The ratio of boys and girls in a class 4:5 if point lying outside the circle. From that point
the number of boys is 24, find the number of “p” two tangents are drawn to the circle. The
girls length of each tangent is 12 cm. What is the
A) 20 B) 19 distance between “p” and the centre of the
C)16 D) 30 circle.
136. In a certain code word ACEG is written as A) 12cm B) 13 cm
16 and DFGH is written as 25 then how can C) 15cm D) 10cm
be written HIKM 145. Raju starts walking towards south. After
A) 36 B) 41 walking 20 m he turns towards North and
C) 40 D) 39 Walks 8 m. Again he turns towards East
137. If 12+22+22 = 32 and walks5 m. How far and in which
22+32+62 =72 direction is he from his starting point.
32+42+122 = 132 A) 15 m, south B) 17m, North-West
then 62 + 72+ 422 = ? C) 7m,East D) 13m, South-East
A) 452 B) 492 146. The sides of 14 Square‟s are 11 cm, 12cm,
2
C) 43 D) 422 13 cm, ………… 24 cm, then find the total
138. A certain sum of money amounts to Rs. area of 14 squares.
20,160 in 5 years at 8% interest. Find the A) 3515 cm2 B) 4515 cm2
2
principal C) 2115 cm D) 3215 cm2
A) Rs. 14,000 B) 14,100 147. A Rain Train travelled a certain distance at
C) 14,440 D) 14,400 a uniform speed. If the train had been
139. How many prime numbers lies between 1 to 7km/hr faster, it would have taken 14 hours
100 less than the scheduled time. If the train
A) 26 B) 25 were slower by 3 km/hr then it would have
C) 24 D) 20 taken 10 hours more than the scheduled
3 time. Find the distance covered by the train.
140. The value of 0.015625
A) 0.05 B) 0.25 A) 600 Km B) 700 Km
C) 0.5 D) 2.5 C) 800 Km D) 900 Km

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 148. Find the average of first „n’ natural numbers C) 10 days D) 2 days
𝑛(𝑛+1) 𝑛 𝑛+1 (2𝑛+1) 155. A and B can complete a work individually in
A) 2
B) 2
𝑛+1 12 days and 18 days. They started doing
C) 2
D) n2 the work together but after 4 days A had to
149. A gardener wanted to reward a girl for her leave and B alone completed the remaining
good deeds by giving some apples. He work. The whole work completed in
gave 2 apples on the first day, 4 on the A) 30 days B) 20 days
second day, 8 on the day, 16 apples on the C) 12 days D) 8 days
fourth day and so on for ten days. Hw many 156. A Function f : (-7,6) => R is defined as
apples did she get from the gardener at the follows f (x) = x2+2x + 1 -7≤x<-5
end of the tenth day
A) 1024 B) 2060 X+5 -5≤ x≤2 what is the
C) 1760 D) 2046 X -1 2<x<6
150. Using the clay, Malar makes a cone, a
4𝑓 −3 −2𝑓(4)
hemisphere and a cylinder have equal Value of ?
𝑓 −6 −4𝑓(1)
bases and the heights of the cone and a 2 7
cylinder are equal. They same as the A) 7
B) 2
1
common radius then find the ratio of their C) 2 D) 2
respective volumes.
A) 1 : 2 : 3 B) 1 : 2 : 4 157. Mala and Latha each had a number of
C) 1: 2 : 5 D) 1: 2: 6 bangles. Mala said to Latha “If you give me
151. Spherical metal ball of radius 6 cm is melted 4 of your bangles, my number will be thrice
and casted into small spherical balls having yours‟. Latha replied “If you give me 36, my
diameter 6 mm. How many small balls can number will be thrice yours”. What is the
be casted total bangles together with them?
A) 8000 B) 1000 A) 70 B) 80
C) 6000 D) 2000 C) 90 D) 100
152. The radii of two circular ends of a frustum
shaped bucket are 15 cm and 8 cm. If its
depth is 63 cm, find the capacity of the GROUP - I [PRELIMS ] - 2019
22 MATHS
bucket in litres (Take π = 7
)
158. In a right triangular ground, the sides
A) 2.6994 litres B) 26.994 litres adjacent to the right angle are 50 m and 80
C) 269.94 litres D) 2699.4 litres m. Find the cost
153. The present age of A and B are in the radio of cementing the ground at Rs.5/sq.m
4:5 and after five years they will be in the (A) Rs 20,000 (B) RS 15,000
radio 5:6 then their sum of present age is (C) Rs 10,000 (D) Rs 12,500
A) 55 years B) 45 years 159. The average of 5 numbers is 180. If one of
C) 35 years D) 25 years the numbers is removed then the average
154. If A and B can do a work in 6 days. B and C becomes 155.
do it in 12 days, C and A can do it in 4 days Find the removed number?
how many days it would take to finish the (A) 240 (B) 280
same work by all the three together? (C) 320 (D) 360
A) 8 days B) 4 days

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 160. A person crosses 600 m long street in 5 168. Find the least number which when divided
minute. What is his speed in km per hour. by 24, 32 and 36 leaves the remainders
(A) 3.6 (B) 7.2 19, 27 and 31 respectively.
(C) 8.4 (D) 10 (A) 280 (B) 290
161. A man travelled 2/11 of his journey by (C) 283 (D) 300
coach, 17/22 by rail and walked the 169. If LCM of “𝑎” and “𝑏” is a and LCM of “b”
remaining 1 km. and “c” is b, then what is the LCM of “c”
How far did he go? and “a”.
(A) 22 km (B) 20 km (A) a (B) b
(C) 33 km (D) 27 km (C) c (D) abc
162. A ramp for unloading a moving truck has 170. Which one is correct?
an angle of elevation of 30°. If the top of 3 −13 −15 −1 1
(A) − 5 < 40
< 80 < 20 < 2
the ramp is 0.9 above the ground level 3 −1 −13 −15 1
then find the length of the ramp. (B) − < < < <
5 20 40 80 2
15 −13 −1 −3 1
(A) 2 m (B) 1.5 m (C) − 80 < 40 < 20 < 5 < 2
(C) 1.8 m (D) 1.6 m 1 −3 −1 −13 −15
(D) 2
< 5 < 20 < 40 < 80
163. The Standard deviation of 10 values is 3. If
each value in increase by 4. Find the
𝑥 2 −25 𝑥+5 2
variance of new set ofValue. 171. Simplify 𝑥+3
÷ 𝑥 2 −9
(A) 30 (B) 12 𝑥−5 𝑥+3 𝑥−5 𝑥−3
(A) 𝑥−3
(B) 𝑥+5
(C) 9 (D) 3
𝑥+5 𝑥−3 𝑥+5 𝑥+3
164. Find the next term of this sequence 11, 13, (C) (D)
𝑥+3 𝑥−5
17, 19, 23, _________. 2 1 2 5
172. Simplify 7 − 4 ÷ 3 − 6
(A) 25 (B) 27
168 125
(C) 29 (D) 31 (A) 125 (B) 160
165. Find the mean of 2, 4, 6, 8, 10, 12, 14, 16. 125 160
(C) 1 68 (D) 125
(A) 10 (B) 9
(C) 12 (D) 14 173. The exterior angles of a pentagon are in
166. Shyam‟s monthly income is Rs.12,000. He the ratio 6:3:4:3:2. Find all its interior
saves Rs.1200. Find the percent of his angles.
savings and his expenditure. (A) 60° , 120° , 80° , 160° , 120°
(A) 10%, 80% (B) 10%, 90% (B) 80° , 110° , 150° , 120° , 80°
(C) 80%, 10% (D) 90%, 10% (C)100° , 170° , 160° , 40° , 70°
167. Due to increase of 30% in the price of a (D) 60° , 120° , 100° , 120° , 140°
colour TV the sale is reduced by 40%. 174. Which one of the following cannot be the
What will be the sides of a triangle?
Percentage change in income? (A) 4, 5, 6 (B) 3, 4, 5
(A) 10% increase (C) 2, 3, 4 (D) 1, 2, 3
(B) 10% decrease 175. Without using logarithm table find
(C) 35% decrease approximate value for log102.
(D) 22% decrease (A) 0.2401 (B) 0.3
(C) 0.3802 (D) 1.414

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 176. The cost of levelling and turfing a square (C) Rs. 28 (D) Rs. 22
lawn at Rs.2.50 per m2 is Rs.13322.50. 183. The Range of the first 10 prime numbers is
Find the cost of fencing if at Rs.5 per (A) 28 (B) 26
metre. (C) 29 (D) 27
(A) Rs. 1500 (B) Rs. 1380 184. The students of a class donated Rs. 4624
(C) Rs. 1225 (D) Rs. 1460 for Chief Minister‟s State Relief Fund. Each
177. The diameter of a semicircular grass plot is student donated as many rupees as the
70 m. Find the cost of fencing the plot at number of students in the class. Find the
Rs. 12 per metre. number of students in the class
(A) Rs. 7700 (B) Rs. 840 (A) 64 (B) 68
(C) Rs. 2160 (D) Rs. 4320 (C) 62 (D) 78
178. A circus tent is to be erected in the form of 185. The average height of 10 students in a
a cone surmounted on a cylinder. The total class was calculated as 150cm. On
height of the tent is 49 m diameter of the verification it was found that one reading
base is 42 m and height of the cylinder is 21 was wrongly recorded as 130 cm instead
m. Find the cost of canvas needed to make of 140cm. Find the correct mean height.
the tent, if the cost of convas is Rs. (A) 150 cm (B) 152 cm
12.50/m2 (C) 153 cm (D) 151 cm
(A) Rs. 63552 (B) Rs. 65352 186. What is Mean of all two digit Numbers?
(C) Rs. 63525 (D) Rs. 65532 (A) 54.5 (B) 49.5
179. Calculate the compound interest on (C) 45.5 (D) 44.5
Rs.9,000 in 2 years when the rate of 187. If ax2 – 28x + 49=0 has equal roots. Then
interest for successive years are 10% and the value of a is
12% respectively. (A) 1 (B) 2
(A) Rs. 1,188 (B) Rs. 2, 088 (C) 3 (D) 4
(C) Rs. 4,396 (D) Rs. 2, 596 188. Find the median of the data.
180. A certain sum of money in simple interest 12, 14, 25, 23, 18, 17, 24, 20
scheme amounts to Rs. 8,880 in 6 years (A) 23 (B) 18
and Rs.7,920 in 4 years respectively. Find (C) 17 (D) 19
the principal and rate percent 189. In a two digit number, the digit in the unit
(A) Principal = 6,000, rate=8% place is twice of the digit in the tenth place.
(B) Principal=6,600, rate=8% If the digits are reversed, the new number
(C) Principal=6,000, rate=7% is 27 more than the given number. Find the
(D) Principal=6,600, rate=7% number.
181. A fair die is rolled. Find the probability of (A) 63 (B) 36
getting a prime factor of 6 (C) 93 (D) 39
2 1 190. The population of a village is 32,000 40%
(A) 3
(B) 3
5 1 of them are men 25% of them are women
(C) (D) and the rest are children. Find the number
6 2
182. Pocket money received by 7 students is of men and children.
given below. (A) 12200 men, 11800 children
Rs.42, Rs.22, Rs.40, Rs.26, Rs.23, Rs.43 (B) 12800 men, 11200 children
Find the median. (C) 12220 men, 12200 children
(A) Rs. 26 (B) Rs. 23
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 (D) 12200 men, 11200 children (A) 136 (B) 156
191. Find the greatest number of four digits (C) 146 (D) 164
exactly divisible by 15, 21 and 27. 199. Using clay, a student made a right circular
(A) 9999 (B) 9450 cone of height 48 cm and base radius 12
(C) 9854 (D) 8505 cm. Another student reshapes it in the form
192. The GCD and LCM of two polynomials are of sphere. Find the radius of the sphere.
x + 1 and X4 – 1 respectively. If one of the (A) 12 cm (B) 15 cm
polynomials is x2 + 1. Find other one. (C) 9 cm (D) 14 cm
(A) 𝑥 3 − 1 (B) (𝑥 + 1)(𝑥 2 − 1) 200. The radius of a spherical balloon increases
(C) 𝑥 2 + 𝑥 − 1 (D) 𝑥 2 − 𝑥 + 1 from 3 cm to 9 cm as air is being pumped
193. Find the Highest common Factor of into it. Find the ratio of volumes of the
4𝑝2 𝑞3 𝑟, 8𝑝3 𝑞2 𝑟 2 , 16𝑝2 𝑞4 𝑟 3 balloon in the two cases.
(A)4𝑝2 𝑞 4 𝑟 3 (B) 4𝑝2 𝑞2 𝑟 (A) 1: 3 (B) 1 : 9
(C) 16𝑝2 𝑞2 𝑟 (D) 16 𝑝2 𝑞4 𝑟 3 (C) 1 : 27 (D) 1 : 8
𝑥3 8
194. Simplify the following:𝑥−2 + 2−𝑥
201. If the circle with diameter 4 cm is inside of
(A) 𝑥 2 − 2𝑥 + 4 (B) 𝑥 2 + 2𝑥 + 4 the circle with radius 10cm. Then the
(C) 𝑥 2 − 2𝑥 − 4 (D) 𝑥 2 + 2𝑥 − 4 Maximum possible distance between the
𝑚 1 1
195. Simplify: 𝑚 +1 + 𝑚 +1 + 𝑚 2 −1 centres is
𝑚 2 −1 (A) 6 (B) 7
(A) 𝑚2 (B) 𝑚2 (C) 8 (D) 9
1 𝑚2
(C) (D) 202. What is the half of the area of the triangle
𝑚2 𝑚 2 −1
196. If 3a +4b=22, 8a-5b=-4, then the value of whose vertices are (1,1), (3,1), (1,3)?
(a+b)2=? (A) 1 (B) 2
(A) 36 (B) 72 (C) 4 (D) 5
(C) 25 (D) 49 203. A silver wire when bent in the form of a
197. I have a box which has 3 green, 9 blue, 4 square encloses an area of 484 sqm. If the
yellow, 8 orange coloured cubes in it. same wire is bent in the form of a circle,
a) What is the ratio of orange to yellow then find the diameter of the circle. (use𝜋 =
22
cubes? 7
)
b) What is the ratio of green to blue cubes? (A) 14 m (B) 28m
c) How many different ratios can be (C) 24 m (D) 7m
formed, when you compare each colour 204. In how much time will a sum of Rs. 1600
to any one of the other colours? amount to Rs.1852.20 at 5% per annum
(a) (b) (c) compound interest
(A) 3:1 1:2 10 ratios (A) 2 years (B) 3 years
(B) 1:3 2:1 4 ratios (C) 4 years (D) 5 years
(C) 1:2 3:1 12 ratios 205. If 123 represents “GOD”, 456 represents
(D) 2:1 1:3 12ratios “CAT”, Then “DOG EAT EGG” may be
198. A troop has provisions for 276 soldiers for represented by
20 days. How many soldiers leave the (A) 321 456 411 (B) 321 756 811
troop so that the provisions may last for 46 (C) 321 856 911 (D) 321 756 711
days.

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 206. Find the number of 3 digit natural numbers 2 3
(A) 7 (B) 7
which are divisible by 6 4 5
(A) 151 (B) 150 (C) 7 (D) 7
(C) 152 (D) 149
207. What is the probability that a leap year
selected at random will contain 53
Sundays?

TNPSC - GROUP - I PRELIMS

PREVIOUS YEAR KEYS – MATHS

{ 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
B C C B B D B D C C B B C A A B B A C C
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
B C B C A A B B B B C C A D C A C B A C
41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
B A C D B C D A C A A D B B D B B A B B
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
D B D B B B B D C D D B C A C C C A A C
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
A D B A C A A C D C D A A D C C B A C B
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
A A B A C A D B A C C B B A A D D C C
121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140
D B A B B D A D B D A D C D B C D B C
141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
B D B B D B D C D A A B B B C D B C B B
161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180
A C C C B B D C A A V C D D B D C C B A
181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200
B C D B D A D D B B B B B B D A D B A C
201 202 203 204 205 206 207
C A B B D B A

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 Subject No.of studetns
TNPSC - GROUP - II PRELIMS – 2012 Mathematics 6
PREVIOUS YEAR QUESTIONS Physics 12
MATHS Chemistry 15
Biology 8
1. A man earns Rs. 28,000 s monthly salary. Computer science 9
His expenditure and savings are given in the A) 32 B) 35
diagram. The percentage of savings C) 41 D) 42
compared to foods. 7. The length of CD is

7% Entertainment 1 A
13 % 20% 6 60˚ D

Rent Travel B C
15 A) 6 B) 9
15% Savings
45% C) 12 D) 8

Food GROUP – II - 2013

8. Find the missing number in the place?

A) 33.1% B) 33.7% 5 13 25 ?
C) 33.2% D) 33.3% 1 2 2 3 3 4 4 5
2. The Minimum no. of square size tiles to fill
2 A) 41 B) 35 C) 30 D) 28
the floor of a room measuring 9𝑚 × 6 5 𝑚 is
9. Find the missing term
A) 1240 B) 1400
C) 1440 D) 1660
3. Ogive can be used to obtain 5 3 44 2 44
A) Percentiles B) Mean deviation 4
264 5 2 8
C) Skewness D) correlation
4. Of the three numbers, the second is half of
the first and the third is three times the first. 2 4
If the average of the three numbers is 27.
The smallest numbers. 3 1
A) 10 B) 9
44
C) 8 D) 18
5. The three quartiles of a frequency
8 ?
distribution of marks obtained by male
students are 20,40 and 50. The coefficient
of quartile deviation is _______
A) 1/3 B)1/9
C)3/7 D)15 A) 12 B) 18
6. How many students does not like C) 16 D) 24
chemistry?
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 10. A sum was put at simple interest at a certain A) 2:1 B) 1:2
rate for 2 years. Had it been put at 3% C) 2:3 D) 1:3
higher rate, it would have fetched Rs. 300 15. A,B and C together can finish a piece of
more. Find the sum. work in 4 days. A alone can do in 12 days
A) Rs. 5,000 B) Rs. 4,000 and B alone in 18 days. How many days will
C) Rs. 10,000 D) Rs. 1,000 be taken by C to do it alone?
11. A and V can do piece of work in 10 days. B A) 10 days B) 12 days
and C in 15days, C and A in 18 days, In C) 9 days D) 18 days
how many days can B alone do it? 16. Find the value of
A) 30 days B) 20 days
C) 12 days D) 18 days
12. In a certain code, LABOUR is written as 58 + 31 + 21 + 11 + 25
KBAPTS. How is CANDID written in that
code? A) 7 B) 8
A) DBOEJE B) BBMCHC C) 9 D) 6
C) DZOCJC D) BBMEHE 17. 5% income of X is equal to 15% income of y
13. If the radius of a circle is increased by 25% and 10% income of Y is equal to 20%
then its area is increased by income of Z. If income of Z is Rs. 3,000 then
A) 50% B) 25% total income of X, Y and Z Rupees is
C) 56.25% D) 46.25% A) 18,000 B) 12,000
14. In a mixture of 28 liters, the ratio of milk and C) 27,000 D) 16,000
water is 5:2 litres of water is added to the 18. From the following graph, find the
mixture,, find the ratio of milk and water in percentage of increase in the from 2004 to
the new mixture. 2005

100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%

2000 2001 2002 2003 2004 2005 2006 2007 2008

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 A) 20% B) 50% C) D D) E
C) 66 2/3% D) 71 2/3% 26. Find the next figure in the given sequence:-
19. One litre of water is added to 5 liters of a
20% solution of alcohol in water. The
strength of alcohol in the new solution is
A) 16 2/3% B) 15%
C) 20% D) 16% A) B)
20. If the cost of 12 Articles is equal to the
selling price of 10 Articles, the profit percent
in the transaction is
A) 48% B) 16 2/3% C) D)
B) C) 20% D) 25%
21. The difference between the present ages of
P and Q is 8 yrs and the ratio of their
28. The circle graph given shows the spending
present ages is 2:3 respectively. What is P‟s of a family on various items and its savings
during a year. If the total income of the
Present age?
A) 16years B) 24 years family is Rs. 75,000, Then the expenditure
C) 12years D) 30 years on Education was
22. Divide Rs. 680 among A,B,C so that a gets
30%
3 times more to B and B gets 4 times to C
12%
A) Rs.160, Rs.40, Rs.480
B) Rs. 480, Rs.160, Rs.40 Food
3%
C) Rs. 480, Rs.40, Rs.160 saving
Other 23%
D)Rs.160, Rs.480, Rs.40
Clothing
23. The length, breadth and height of a room
are respectively 12 metres, 9 metres and 6 House Rent 15%
metres. How many cubic boxes are needed Bus pare5%
to fill the room if the side of each box is 1.5
metres?
A) 1072 B) 648 Education 12%
C) 324 D) 192
24. If A‟s height is 25% less than that of B, then A) Rs.7, 500 B) Rs. 8,000
how much percent is B, height more than C) Rs.8, 500 D) Rs.9, 000
that of A? 29. A, B, C at the same time in the same
A) 50% B) 45% direction to run around a rectangular
C) 22 ½% D) 33 1/3% garden. A completes a round in 252
25. Five articles A, B, C, D and E are priced seconds. B in 308 seconds and C in 198
differently and the value of C is Rs. 100. If seconds starting at the same point. After
“A” is cheaper, than C but costlier than B what time will they meet again at the
/and “E is costlier than C but cheaper than starting point?
D” then which of the article is the costliest? A) 20 minutes 18 seconds
A) B B) C B) 40 minutes 20 seconds
C) 46 minutes 12 seconds
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 D) 30 minutes A) Rs. 1,092 B) Rs.992
30. Find the greatest number which will divide C) Rs. 1,882 D) Rs. 1,182
2112 and 2792 leaving the remainder 4 in 32. A table is sold for Rs. 414 at a profit of 15%.
each case How much did it cost?
A) 63 B) 64 A) Rs. 400 B) Rs. 314
C) 68 D) 78 C) Rs.326 D) Rs.360
31. Rs.800 amounts to Rs.920 in 3 years at
simple interest. If the interest rate is GROUP – II - 2015
increased by 3% it would amount to
33. If „HYDROGEN‟ is represented as 39. Find the missing term in the given alphabet
JCJZYSSD, how “ANTIMONY” will be series. AZ,GT,MN, _____, YB.
represented as. A) JH B) SH
A) CPVKOQPA B) CRZQWABO C) SK D) TS
C) ERXMQSRC D) GTZOSUTE. 40. 7 men can complete a work in 52 days. In
34. Arrange in descending order: how many days will 13 men finish the same
3 4 6 12
12 , 20, 25, 80, 112 work?
3 4 6 12 A) 20 days B) 13 days
𝐴) 80, 12 , 20, 25, 112
3 4 12 6 C) 7 days D) 28 days
𝐵) 80, 12 , 20, 112, 25 𝑎 9 𝑎+𝑏
3 4 6
𝐶) 12 , 80 , 20 , 25 , 112
12 41. If 𝑏 = 5 then 𝑎−𝑏 = ?
6 12 3 4 3 7
𝐷) 25 , 112 , 12 , 80 , 20 A)
7
B)
3
35. Find the range of the following data: C)
2
D)
7
7 2
25.67,78,43,21,17,49,54,76,92,20,45,86,37,
35 42. Find the LCM of 45,4-81,412 and 47.
A) 78 B) 75 A) 412 B) 4
C) 92 D) 86 C) 4 2
D) 4-2
36. A is B‟s sister, C is B‟s mother, D is C‟s 43. Find the missing number in the following:
father, E is D‟s mother. Then, A is the 4242,4254,4266,4218,4278, ________
________ of D. A) 4264 B) 4272
A) Grand mother B) Grand father C) 4228 D) 4206
C) Daughter D) Grand daughter. 44. The average of 4 values is 20 and when a
37. A is richer than B , C is richer than A, D is quantity is added to each value the average
richer than C, E is the richest of all. If they is 22. Find the quantity.
are made to sit in the above degree of A) 1 B) 2
richness, who will have the central position? C) 3 D) 4
A) A B) B 1 1
45. If x+ 𝑥 = 2, find the value of x3 + 𝑥 3 .
C) C D) D
38. A hollow cylindrical iron pipe is of length 35 A) 1 B) 2
cm. Its outer and inner diameter are 10 cm C) 3 D) 4
4 2 6 2
and 8 cm respectively. Find the weight of 46. Find the HCF of 9, 5, 8, 5
the pipe if 1 cu.cm of iron weights 7 gm. 1 2
A) 180
B) 481
A) 6.93 kg B) 9.90 kg 2 1
C) 7.53 kg D) 7.93 kg C) 350
D) 142

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 13 13
47. Find the principal that yield a compound A) 229 % B) 329 %
interest of Rs.1,632 in 2 years at 4% rate of 13 13
C) 4 29% D) 5 29 %
interest per annum.
A) Rs.10,000 B) Rs.20,000 54. A voluntary organization planted a total of
C) Rs.30,000 D) Rs.40,000 106 trees along the road side. Some of the
48. Mohan started from point p and walked 2 m trees Were fruit bearing trees. If the number
towards west. He then took a right turn and of non-fruit bearing trees was two more
walked 3m before taking a left turn and than thrice the number of fruit bearing trees,
walked 5m. He finally took a left turn, what was the number of fruit bearing tress
walked 3 m and stopped at a point Q. How planted?
far is point Q from point P? A) 20 B) 22
C) 24 D) 26
A) 2 m B) 6m 55. If “ORIENT” is written as “532146” and
C) 7m D) 8m “SOUL” is “7598” , how will you write
49. Richard is fifteenth from the front in a “LINE”?
column of boys. There were thrice as many A) 9241 B) 8341
behind him as there were in front. How C) 8241 D) 6241
many boys are there between Richard and 56. If 7 is related to 56 then 10 is related to.
the seventh boy from the end of the A) 74 B) 64
column? C) 50 D) 90
A) 33 B) 31
GROUP - II [PRELIMS ] - 2018
C) 35 D) 36
MATHS
50. If 12 compositors can compose 60 page of
a book in 5 hours, how many compositors
57. In how many years will a sum of Rs 1, 600
will compose 200 pages of the book in 20
amount to Rs 1, 852.20 at 5% per annum
hours?
compound interest?
A) 8 B) 10
(A) 3 (B) 4
C) 12 D) 11
(C) 5 (D) 6
51. If the length of a rectangle is decreased by 1 2 5
50% and the breadth is increased by 80%, 58. Simplify: − 3 − 1 ÷ 3
×7 +8−
then the % change in the area of rectangle 5−12−14
is. 21 41
A) Decreased by 10% (A) 2 60 (B) −5 60
41 21
B) Increased by 10% (C) 5 60 (D) −2 60
C) Decreased by 20% 59. Find the area of the iron sheet required to
D) Increased by 20% prepare a cone 24 cm high with base radius
52. The difference between simple and 7 cm
compound interest for a sum of Rs.5,000 (A) 704 cm2 (B) 702 cm2
lent at 12% per annum in 2 years is. (C) 700 cm 2
(D) 668 cm2
A) Rs.720 B) Rs. 12 60. The sum of the series 31+33+----+53 is
C) Rs. 72 D) Rs.700 (A) 729 (B) 341
53. What percent is 20 paise of 5 rupees 80 (C) 504 (D) 604
paise? 61. Find the G.C.D of a3 – 1 and a2 – 1

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 (A) a2 – 1 (B) a + 1 69. A circus tent is cylindrical to a height of 3 m
3
(C) a – 1 (D) a - 1 and conical above it. If the base radius is
62. What percent is 5 grams of 1 Kg? 52.5 m and slant height of the cone is 53 m,
(A) 5% (B) 1 % find the area of canvas required to make the
(C) 0.5% (D) 0.2% tent.
92 ×18 4 (A) 315 π m2 (B) 3097.5 π m2
63. The value of is
316
2 4
(C) 2782.5 π m2 (D) 2997.5 π m2
(A) 3 (B) 9 1
70. Area of a square is 2 hectare. The diagonal
16 32
(C) 81
(C) 243 of the square is
64. The cube root of 0.027 is (A) 250 metres (B) 100 metres
(A) 3 (B) 0.003 (C) 50 2 metres (D) 50 metres
(C) 0.03 (D) 0.3 71. The surface areas of two spheres are in the
𝑎+𝑏 𝑏+𝑐 𝑐+𝑎
65. If = = = 𝑘, Then the value of k is ratio 9:25. Then their volumes are in the
𝑐 𝑎 𝑏
(A) 0 (B) 1 ratio
(C) 2 (D) 𝑎 + 𝑏 + 𝑐 (A) 27 : 75 (B) 27 : 125
66. The ratio of boys to girls in a class is 4:5. If (C) 81 : 625 (D) 729 : 15625
the number of boys is 20, then the number 72. Complete the series 1 ZA, 3 YB, 6 XC,
of girls is 10WD, ?
(A) 15 (B) 20 (A) 14 VE (B) 15 UE
(C) 25 (D) 26 (C) 12 VE (D) 15 VE
67. Given the pie chart, obtain the pass 73. The product of two numbers is 1600 and
percentage of student who passed in 1st their H.C.F. is 5, the L.C.M. of the number is
class (A) 320 (B) 1605
(C) 1595 (D) 8000
74. A man sells two wrist watches at Rs. 594
Passed Passed
in Third in First
each. On one he gains 10% and on the
class, 1 class, 9 other he loses 10%. Find his gain or loss
08 0 percent on the whole
(A) Loss % = 90%
Passed
(B) Gain% = 5%
in (C) Loss % = 1%
Failed, Second (D) Loss % = 7%
class, 1 −2 −3
36 33 × 22
26 75. Simplify : 24 −2 × 3−4 × 4 −2
1 1
(A) 79 (B) 7 8
(A) 35% (B) 30% 2 3
(C) 69 (D) 6 8
(C) 10% (D) 25%
68. At what rate of interest compound interest 76. The principal amount triples itself at 8% per
per annum will Rs. 640 amount to annum over a certain time. Find the number
Rs.774.40 in 2 years of years.
(A) 8% (B) 9% (A) 20 years
(C) 10% (D) 11% (B) 25 years
(C) 30 years

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 (D) 35 years and finish the job. If Rs. 600 is paid as
77. What number should be subtracted from wages, then the share of A and B
each of the numbers 54, 71, 75 and 99 so (A) 240, 360 (B) 300, 300
that, the remainders may be proportional? (C) 360, 240 (D) 400, 200
(A) 1 (B) 2 80. If the average of the values 18, 41, x, 36,
(C) 3 (D) 6 31, 24, 37, 35, 27, 36 is 31. Find the value
78. Six men working 10 hours a day can do a of x.
piece of work in 24 days. In how many days (A) 25 (B) 24
will 9 men working for 8 hours a day do the (C) 30 (D) 26
same work? 81. Find the difference between simple interest
(A) 10 days (B) 15 days and compound interest for a sum of Rs.
(C) 20 days (D) 25 days 8,000 lent at 10% p.a. in 2 years.
79. A can finish a job in 20 days and B can (A) Rs. 70 (B) Rs. 80
complete it in 30 days. They work together (C) Rs.90 (D) Rs. 100

TNPSC - GROUP - II PRELIMS

PREVIOUS YEAR KEYS - MATHS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
D C A B C B B A A A D D C A C B C C A C
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
A B D D D C C D C C B D B A B D C A B D
41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
D A D B B A B C C B A C B D C D A B A C
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
D C C D C C C D C B B B D C A B C C C A
81
B

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 TNPSC - GROUP – II(A) PRELIMS – 2014
PREVIOUS YEAR QUESTIONS
MATHS
1. Find the missed figure is the sequence.
1) 2) 3) 4) ? 5)

A) B) C) D)

2. Arrange the given words in a meaningful sequence:

1. Honey 2. Flower 3. Bee 4. Wax.
A) 1,3,4,2 B) 2,1,4,3
C) 2,3,1,4 D) 4,3,2,1
3. 30 percent of a number is 15 less than 3/5th of that number. What is the number?
A) 48 B) 52
C) 50 D) 70
4. When a number is divided by 13, the remainder is 11. When the same number is divided by 17, the
remainder is 9. Then the number is.
A) 339 B) 369
C) 349 D) 359

5. The following table gives the life time of 500 CFL lamps:
Life time 9 10 11 12 13 14 More than 14 Total
(months)
Number of 26 71 82 102 89 77 53 500
lamps
A bulb is selected at random. The probability that the life time of the selected bulb is atmost 11 months
is given by.

82 179
A) B)
500 500
97 268
C) 500
D) 500

6. If 7 Spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
A) 1 B) 7/2

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 C) 7 D) 49

7. Identify the next figure:

?

A) B) C) D)

8. Malini deposited Rs.7,000/- with a finance company for 3 years at an interest of 15% per annum. What
is the compound interest
and the amount that Malini will get after 3 years?

A) Compound interest - 3,246

Amount - 13,246
B) Compound interest - 3,646.
Amount - 10,646
C) Compound interest - 6,436
Amount - 16,046
D) Compound interest - 4,636
Amount - 14,636
9. The average salary of all workers in the factory 60. The average salary of 12 officers is 400.
The average salary of rest is 56. Find the total no of workers in the factory.
A) 1116 B) 1032
C) 1212 D) 1132

10. How many straight lines are there in the figure below?

A)10 B) 12
C) 16 D) 8

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 11. Find the missing number in the diagram.

4 5 10 8

20 9 80 18

A) 25 B) 30
C) 96 D) None of these

12. The Sum of three prime numbers is 101. The difference of two of them is 24. What are the numbers?
A) 5,59,37 B) 41,53,7
C) 11,37,53 D) 3,61,37

13. A started from a place. After walking for a kilometer, in a direction, he turns to the left, then walking for
a half kilometer; he again turns to the left. Now he is going eastwards. In what direction did he originally
started?
A) West B) East
C) North D) South

14. The circle- graph given here shows the spending of a country on various sports during a particular year.
Study the graph and answer the question.

Hockey

circket 63° Foot Ball 54°

d81°
Others 31°

Basket Ball 50°

Bas

Golf 36°
Tennis 45°

What percent of the total spending is spent

on Tennis?
1 1
A) 12 2 % B) 222 %
C) 25% D) 45%

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 1 1 1 24. The ratio of the prices of two cows was
15. The Sides of a triangle are in the ratio. 2, 3, 4
23:16. Two years later the price of the first
and its perimeter is 104 Cm. The length of
cow rises by Rs.477 and that of the second
the longest side is,
by 10% and the ratio of their prices became
A) 52 cm B) 48cm
20:11. Find the original prices.
C) 32 cm D) 26 cm.
A) Rs.1,219, Rs.848 B) Rs.1,218,Rs.848
16. If A‟s salary is 20% less than B‟s salary, by
C) Rs.1,210, Rs.850 D) Rs.1,219, Rs.840
how much percent is B‟s salary more than
25. A ladder of 25ft length reaches a window
A‟s?
which is 24ft above the ground level on the
A) 24% B) 25%
side of the street. Keeping its foot at the
B) C) 20% D) 22 %
same point the ladder is turned the other
17. The Volume of a cube is 125cm3. The
side of the street and now reaches a
Surface area of the cube is
window of 7 ft high. Then the width of the
A) 625 cm2 B) 125 cm2
street.
C) 150 cm2 D) 100 cm2
A) 30 B) 32
18. If 50% of (x-y) = 30% of (x+y)then what
C) 29 D) 31
percent of x is y?
A) 25% B) 50% Group II (A) - 2016
C) 75% D) 100%
19. The least number which when increased by 26. If a: b = 6:7 and b: c = 8:9 then a:c is equal
1 is divisible by 12,18,24,32 is to?
A) 278 B) 288 A) 16:21 B) 6:9
C) 287 D) 279 C) 27:28 D) 1:2
27. Mean of 25 observations was found to he
20. The missing term in the series is
78.4. But later it was found that 96 was mis-
9,225,16,196,25,169, ? , 144
read as 69. Then the corrected mean is
A) 81 B) 121
A) 79.48 B) 76.54
C) 36 D) 49
C) 81.32 D) 78.4
21. Find x in 4 × 64 = 16x+5
x 2x
28. Find the next alphabet in the sequence B,
A) 1 B) 5
E, I, N,?
C) 4 D) 2
A) U B) V
22. At simple interest Rs,1,000 becomes
C) T D) S
Rs.1,150 in 3 years. If the interest rate in
29. If
increased by 3% then the total amount is.
A) 1,400 B) 1,300 784 + 𝑥 =
C) 1,140 D) 1,240 78% 𝑜𝑓 500, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑥 𝑖𝑠
23. If 18% of the total number of oranges in a A) 342 B) 352
basket is 36.Then the total number of C) 362 D) 372
oranges is. 30. Find the greatest number that will divide
A) 100 B) 150 43,91 and183 so as to leave the same
C) 200 D) 300 remainder in each case
A) 4 B) 7
C) 9 D) 13

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 31. Find the missing letters in the series AZ,GT, 39. Seven men working 9 hours a day can do a
MN,?,?,YB piece of work in 30 days. In how many days
A) JH B) SH will 10 men working for 7 hours a day do the
C) SK D) TS dame work?
32. Murali‟s present age in half of his father‟s A) 28 days B) 30 days
age. Before 10 years, his father‟s age was C) 32 days D) 27 days
thrice his age. Find the present age of 40. If 5⊕3 = 34 and 6 ⊕ 2 = 40 then, the value
Murali and his father. of 7 ⊕ 1 is
A) 16, 32 years B) 15, 30 years A) 54 B) 34
C) 20, 40 years D) 17, 34 years C) 50 D) 30
33. Find the length of the altitude of an 41. Six bells commence tolling together;
equilateral triangle of side 3 3 cm afterwards they toll at intervals of 2,4,6,8
A) 27 cm B) 9 3 cm and 12 seconds respectively, In 30 minutes,
C) 9 cm D) 4.5 cm how many times do they till together?
34. First pips can fill a tank in 12 hours. Second A) 4 B) 10
pipe can fill the same tank in 6 hours. Third C) 15 D) 16
pipe in 4 hours. How long will it take to fill 42. If a/b = 4/5 and b/c = 15/16 then, the value
𝑐 2 −𝑎 2
the tank if all the 3 pipes are opened of
𝑐 2 +𝑎 2
simultaneously? A) 1/7 B) 7/25
A) 2 hrs. B) 3 hrs. C) ¾ D) 1/4
C) 4 hrs. D) 12 hrs. 43. Find out the odd number in the series given
2 2
35. If 𝑥 + 4𝑦 = 4𝑥𝑦, 𝑡ℎ𝑒𝑛 𝑥: 𝑦 𝑖𝑠 25,36,49,81,121,169,225
A) 2:1 B) 1:2 A) 36 B) 49
C) 1:1 D) 1:4 C) 169 D) 225
36. A sum of Rs. 1,550 was lent partly at 5% 44. A can do a certain job in 12 days. B is 60%
and partly at 8% per annum at simple more efficient than a. How many days does
interest. The total interest received after 3 B alone take to do the same job?
years was Rs. 300. The ratio of the money A) 6 days B) 7 ½ days
lent at 5 % to the lent at 8% is C) 8 days D) 8 ½ days
A) 5:8 B) 8:5 45. If
C) 16:15 D) 31:6 5𝑎 = 6; 6𝑏 = 7; 7𝑐 =
37. A sun of Rs.800 amounts to Rs.920 in 3 5, 𝑡ℎ𝑒𝑛 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑎𝑏𝑐: −
years at a simple interest. If the interest rate A) 0 B) -1
is increased by 3%. What would Rs. 800 C) 2 D) 1
amount to?
𝑥 𝑦
𝑧
A) 950 B) 970 46. The value of 𝑎 is
C) 992 D) 1000 𝑦 𝑥𝑦
A) 𝑎 𝑥𝑧 B) 𝑎 𝑧
38. At what rate of compound interest per 𝑥𝑦𝑧 𝑥
C) 𝑎 D) 𝑎 𝑦𝑧
annum will a sum of Rs. 1,200 become Rs.
47. How much time will it take for an amount
1348.32 in 2 years
Rs. 2,000 to double at a simple interest rate
A) 6% B) 6.5%
8%
C) 7% D) 7.5%
A) 25 ½ years B) 10 ½ years
C) 8 ½ years D) 12 ½ years
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 48. The length of a rectangle is increased by 57. Factorization of ( x+ y )2+ 9 ( x + y ) + 8 is
60%. By what percent would the width have A. (x + y+ 1) (x + y)
to be decreased so as to maintain the same B. (x + y + 1) (x + y + 8)
area C. (x + y + 1) (x + y + 6).
A) 37 ½% B) 60% D. (x + y + 8) (x + y + 2)
C) 75% D) 120% 58. What is the difference between the sum of
49. A sum of Rs. 53 is divided among ABC in first „n‟ odd natural numbers and that of first
such a way that a gets Rs. 7 more than „n‟ natural numbers?
what B gets and V gets Rs. 8 more than 𝑛 𝑛(𝑛−1)
A. 2
+1 B. 2
what C gets. The ratio of their share is 𝑛(𝑛+1) 𝑛 𝑛+1 (2𝑛+1)
A) 16:9:18 B) 25:18:10 C. 2
D. 6
C) 18:25:10 D) 15:8:30 59. Which of the following is arrange in correct
50. A cone, a hemisphere and a cylinder stand ascending order?
on equal bases and have the same height. A. 25% of 8, 40%nof 6, 30% of 9, 20% of
Find the ratio of their volumes 15
A) 3:2:1 B) 1:2:3 B. 20% of 15, 25%nof 8, 30% of 9, 40% of
C) 3:1:2 D) 1:3:2 6
Group II (A) - 2017 C. 30% of 9, 40%nof 6, 25% of 8, 20% of
15
51. The area of a semi-circle of radius 7 c. m. is D. 20% of 15, 30%nof 9, 40% of 6, 25% of
A. 7 cm2 B. 777 cm2 8
2
C. 77 cm D. 7777cm2 60. Which of the following is larger in area?
𝑥 2 −2𝑥 3𝑥+6 A. A triangle with base 10 cm and height 8
52. The value of x
𝑥2+2𝑥 𝑥−2 cm
A. 3x B. 3
B. A triangle with sides 12 cm and 5 cm
C. 3x+2 D. x-2
and 13 cm
53. A boy is now twice as old as his sister, four
C. An equilateral triangle whose sides are
years ago, he was thrice as old as her what
10 cm each
are their ages now?
D. A right angled triangle whose sides
A. 18 , 9 B. 14, 7
containing the right angle are 3 cm and
C. 16, 8 D. 12, 6
4 cm
54. X : 9 = 16 : 𝑥. What is the value of x?
3/2
61. The arithmetic mean of a group of 75
A. ± 16 B. ± 3 observation was calculated as 27. It was
C. ± 4 D. ± 12 later found that one observation was
55. Total surface area of hollow hemisphere is wrongly read as 43 instead of the correct
equal to value 53. Obtain the correct arithmetic
A. 2π (R2 + r2) sq. units mean of the data.
B. 2π (R2 - r2) sq. units A. 26. 13 B. 27. 13
C. π(3R2+ r2) sq. units C. 28. 13 D. 25. 13
D. π(3R2- r2) sq. units 62. A sum of money triples itself at 8% per
56. The probability that a leap year will have 53 annum over certain time. The number of
Fridays or 53 Saturdays is years is equal to
A. 1/7 B. 2/7 A. 24 B. 25
C. 3/7 D. 4/7 C. 20 D. 12
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 63. The cylinder whose base is not in circular A. 2.1 B. 1.2
form is called C. 2.5 D. 1.6
A. Circular cylinder 𝑥 3 −1 𝑥 2 +𝑥+1
70. The value of 𝑥+3 ÷ 3𝑥+9
=?
B. Right circular cylinder
A) 3x – 1 B) 3(x+1)
C. Oblique cylinder
C) 3(x-1) D) 3x+2
D. Irregular cylinder
71. What is the 85th term of the sequence x, x3/2,
64. 10 sq. m. is equal to
x2, x5/2,……?
A. 100 sq. cm B. 100 sq. cm
A. x85/2 B. x45/2
C. 10000 sq. cm D. 100000 sq. cm
C. x43 D. x44
65. A --------- is often drawn as a guide, so that 72. The radius and the slant height of a come
a frequency polygon can be drawn over the are respectively „r‟ and „l‟. What is the
top. volume of the cone?
1 1
A. Frequency B. Histogram A) 3
𝜋r2 𝑙 2 −𝑟 2 B) 3 𝜋r2 𝑙 2 +𝑟 2
C. Cumulative Frequency D. Rectangle C) 𝜋rl D) 𝜋r(l+r)
66. If 100 person can finish a work in 7 days, 73. st
What is the 21 term of the sequence 100,
how many persons can finish the same 95, 90, 85……..?
work 35 days? A. 10 B. 20
A. 20 persons B. 50 persons C. 0 D. 5
C. 30 persons D. 25 persons 2𝑥 4 −162
74. Simplify: (𝑥 2 +9)(2𝑥−6)
67. What percent of an hour is 36 seconds?
A. 6% B. 1% A. X2- 9 B. x +3
C. 10% D. 36% C. x + 6 D. x - 6
x m m+n . 𝑥 𝑛 n+1 𝑥 𝑙 l+m 75. If the LCM of x and y is z, what is the H. C.
68. [ }] [ 1 ] .[ m ] = ….
𝑥𝑛 𝑥 x F of x and Y?
A) 1 B) -1 𝑥𝑦 𝑥𝑧
m+n+l 1 A. 𝑧 B. 𝑦
C)x D) 𝑥 𝑚 +𝑛 +𝑙 𝑦𝑧
C. 𝑥
D. xy
69. .If A = +, B = +, C + x and D = - then what is
1 1 1 1
the value of 5 C2B 5A5D10 = ?

TNPSC - GROUP – II (A) PRELIMS

PREVIOUS YEAR KEYS – MATHS

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

B C C C B C C B B B C D A A B B C A C C
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
D D C A D A A C C A B C D A A C C A D C
41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
D B A B D C D A B B C B C D C C B A C
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
B B B D B A B A C C A C B

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 TNPSC - GROUP - IV PRELIMS – 2011 GROUP –IV - 2012
PREVIOUS YEAR QUESTIONS 11. The harmonic mean and geometric mean of
MATHS two values are 6.4 and 8 respectively. The
values are
1. A fair die is rolled. The probability of getting A) 8 and 8 B) 32 and 2
an even number on the face of the die is C) 4 and 16 D) 10 and 6
A)1/4 B) 3/4 12. If the sum of 3 consecutive integers is 540
C) 1/3 D) ½ then integers are
2. The area of a triangle with base 9 cm and A) 178,179,183 B)176,186,178
height 12 cm is C)178,180,182 D) 179,180,181
A) 108 Cm2 B) 21 Cm2 13. From the group of 5 men and women, two
C) 42 Cm2 D) 54 Cm2 persons are chosen at random. The
3. The value of 5 2 + 32 probability that one of them is man and the
A) 21 2 B) 5 2 other woman is
C) 32 2 D) 9 2 A) 2/5 B) 3/5
4. If the principal is Rs. 3000 and rate of C)5/9 D) 4/9
interest 4% then the difference between 14. A box contains 4 red, 5 blue and 6 green
simple interest and compound interest is balls of identical size. Two balls are drawn
A) Rs. 80.00 B) Rs. 4.80 at random. The Probability that one is blue
C) Rs. 6.80 D) Rs. 48.00 and the other is green is
5. 29,23,25,29,30,25,28 is A) 5×6/15×14 B) 5×6×2/15×14
A) 29 B) 23 C) 4×5/15×14 D)4 ×5×2/14×15
C) 28 D) 30 15. Five boys A,B,C, D & E are sitting in a park
6. If n(A) = 5 then n(P(A))is in a circle. A is facing south west D is
A) 32 B) 16 facing south east. B and E are right
C) 8 D) 64 opposite to A and D respectively and C is
7. The sum of the first 11 term of the A.P. equidistant between D and B .Which
3,8,13,……is direction is C facing to?
A) 380 B) 318 A) West B) South
C) 308 D) 388 C) North D) East
8. If a=5,b=3 then the value of a2+ab is 16. A man earns Rs. 28.000 as monthly salary.
A) 80 B) 40 His expenditure and savings are given in
C) 60 D) 45 the diagram. How much did he spend on
9. The mid point of the line segment joining the entertainment?
points (-1,-3) and (-5,-7) is Rent
A) (3,5) B) (-3,5) Entertainment
C) (-3,-5) D) (3,-5) 7% 13% 20%
Entertainment Travel
10. The marked price of a bicycle is Rs.1.700. If
the company gives 10% discount,then the Saving
selling price of the bicycle is Saving 15%
A) Rs.1.500 B) Rs.1.350
C) Rs.1.530 D) Rs.1.30 45% - Food[

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 A) Rs. 1.950 B) Rs. 1.960 Number of poor
C) Rs. 1.970 D) Rs.1.980 in India(in million):321 307 320
17. The traders marks his goods at 20% above 1999-2000
cost price and allows 10% discount Then
the gain per cent is 260
A) 6% B) 8% The year in which number of poor in India
C) 10% D) 12% a sharp increase over that of the preceding year
18. In a division sum the divisor is 12 times the is
quotient and 5 times the remainder. If the A) 1973-74 B) 1987-88
remainder is 24 then the dividend is C) 1993-94 D) 1999-2000
A) 1224 B) 1242 21. In the products 2a×1b= 41a: 2b× 1b=37b,
C) 1222 D) 120 a and b represent positive integers. Then
19. Rolling of tongue is a dominant character in a+b=
human beings out of 80 students in a class A) 15 B) 11
72 students are C) 7 D) 13
capable of rolling their tongue and 8 22. Find the odd man out in the following:
students not. Find the percentage of 1, 144, 16, 25, 49, 81 121, 36, 62
dominant and recessive character. A) 1 B) 49
A) dominant 90% recessive 10% C) 121 D) 62
B) dominant 10% recessive 90% 23. The world-wide Tea product of 5 countries
C) dominant 20% recessive 80% for the year 2011-2012
D) dominant 80% recessive 20% B
C 25% A
10% 30%
GROUP –IV – 2013
20%
15%
20. Consider the following table:
Year: 1973-74 1987-88 1993-94
A) 5 B) 3
C) 6 D) 1
24. In an examination 30% of total students 26. If RIVER is coded as OFSBO then WATER
failed in E nglish 40%tudents failed in Hindi is decoded as
and 20% in both. Find the percentage of A) ZDWIU B) ZDWHU
students who passed in both the subjects. C) ZCWIV D) ZCUJW
A) 50% B) 20% 27. A can complete 2/3 part of a work in 10
C) 10% D) 60% days. A can complete 1/3 part of the same
25. Three positions of the same die are given. work in
Find the numbers opposite to the side A) 3 days B) 4 days
represented by 2. C) 5 days D) 6 days
3 28. Rs. 800 becomes Rs. 956 in 3 Years at
4
31 certain simple rate of interest. If the rate of
6 3 5 4 2 1 interest is increased by 4%
What amount will Rs. 800 become in 3
years?

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 A) Rs. 1,020,80 B) Rs. 1,025 35. SALES BY TWO CATEGORY FOR ABC
C) Rs. 1,052 D) Rs. 1,080, 20 PRESS, 2000-2010(in thousands of books).
29. Amala invests Rs. 6,000 in abond which
gives interest at 4% per annum during the 80 --------- ARTS

firtst year, 5% during the second year,10% 70 Science;

60
during the third year. How much does she
50
gets at the end of the third year?
40
A) Rs. 7,300 B) Rs. 7,007,2 30
C) Rs. 7,200 D)Rs. 7,207,2 20
30. What will come in the place of a question 10
mark? 0
T S 2000 2001 2002 2003 2004 2005 2002007
2008 2009 2010
W 3 15 D In how many years did the sales of science
books exceed the sales of arts books from
P 2000 to 2009?
10 ? A) 4 Years B) 5 Years
J G p
C) 6 Years D) 7 Years
T G 36. Five persons A,K,L,R, and U are sitting
T around a circular table. K is immediate left
A) 9 B) 6 to U and R is between A and U, then
immediate neighbours of L are
A)T 9 B) 6 A) K and A B) U and A
C) 7 D) 3 C) K and R D) A and R
31. Find out the wrong number in the sequence. 37. A circular ground of radius 7 m has a path
623, 251, 543, 356 of width 7 m around it on its outside. The
A) 543 B) 251 area of the path is approximately equal to ---
C) 623 D) 356 ----------[ 𝜋 = 22/7]
32. Find out the wrong number in the sequence. A) 154 sq.m B) 308 sq.m
121,264,312, 462, 583 C) 462 sq.m D) 616 sq.m
A) 583 B) 264 38. A can do a work in 12 days. B in 6 days and
W
C) 121 D) 312 C in 3 days. A and B start working together
33. If 2÷ 3=89, 3÷ 4=2716, 4 ÷3 =649 then 1÷ 2 and after a day. C join them. The total
=? number of days required to complete the
A) 24 B) 14 work is
2 2
C) 4 D) 10 A) 27 days B) 17 days
34. Five distinct items A,B, C,D and E are to be 1 1
C) 27 days D) 17 days
placed in distinct boxes numbered as
1,2,3,4,5 items B and E cannot be 39. At what rate percent compound interest
grouped together. Maximum number of does a sum of money become nine fold in 2
boxes can be left out without items is years?
A)1 B) 2 A) 100% B) 200%
C) 3 D) 0 C) 300% D) 150%

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 40. Simplify: ∜ 𝑥2 GROUP –IV – 2014
1/6
A) x B) x 1/12
C) x 1/3 D) x ¼ 46. From the fig.find the value of „x‟
41. Find the missing block.
C
?
A 4x 2x B
D
A) B) A) 30° B) 60°
C) 90° D) 45°

47. Find the height of a parallelogram whose

area is 30 cm2 and base 15 cm is
C) A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
48. Ram is 7 times as old as his daughter
D) Nanthini. After 5 years he will be 5 times as
old as his daughter. what are their present
ages?
42. Find the greatest number that will divide A) 5,35 B) 6,42 C) 9,63
43,91 ,183 so as to leave the same D) 10,70
𝑎 4
remainder in each case. 49. If 𝑏 = 3 then thevalue of 6a + 4b
A) 4 B) 7 6a – 5b
C) 9 D) 8 A) -1 B) 3
43. The number-pairs lying between 40 and 100 C) 4 D) 5
with their H.C.F. as 15 is 50. Find the missing number in the place?
A) 3 B) 4
C) 5 D) 2
6 8 12 20
44. A,B,C,D start at the same time to run 5
around a circular garden in the same 8
direction. A completes a round in 30 5 3
4 4
minutes, B in 60 minutes , C in 90 minutes 2
and D in 105 minutes. After what time will
they meet again at the starting point?
A) 15 hours B) 10 hours
C) 21 hours D) 20 hours 20 36
45. Find the greatest number of 4 digits which is 9
divisible by 15, 25, 40 and 75 9
?
A) 9600 B) 3000 2
C) 9800 D) 8540

A) 10 B) 11
C) 13 D) 14

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 51. Simplify 214+ 112 + 74+ 49
A) 15 B) 18 A) Rs.800 B) Rs.900
C) 25 D) 17 C) Rs.1,000 D) Rs.750
52. Divide Rs.700 among A,B,C so that A gets 58. Find the missing number in the place?
2 times more than to B and B gets 2 times 1
5
to C how much of amount they are getting?
A) Rs.100, Rs.200, Rs.400 1 2 2 3
B) Rs.200, Rs.300, Rs.200
C) Rs. 300, Rs.200, Rs.200
D) Rs. 400, Rs.200, Rs.100 11 ?
53. A cone, hemisphere, and cylinder have
equal bases. If the heights of the cone and 3 4 4 5
a cylinder are equal and are same as the
common radius then find the ratio of their
respective volumes A) 18 B) 19
A) 2:3:4 B) 1:2:3 C) 20 D) 21
C) 2:1:3 D) 3:2:5 59. Number of prime numbers between 20 and
54. Using Identities x-y = -6; xy = 4, Find the 30
value of x2 – y2 A) 1 B) 2
A) -288 B) -388 C) 3 D) 4
C) -268 D) -278 60. If the area of the ∆ ABC is 68 sq. units and
55. Two taps can fill a tank in 30 minutes and the vertices are A(6,7), B(-4,1) and C( a,-9)
40 minutes. Another tap can empty it in 24 taken in order . Find the value of a.
min. If the tank is empty and all the three A) -2 B) 3
taps are kept open, in how much time the C) 5 D) 2
tank will be filled. 61. If the mean of x,x+2, x+4, x+6, x+8 is 20
A) 1 ½ hours B) two hours then find the value of x
C) one hour D) 2 ½ hours A) 32 B) 16
56. The radius of a wheel is 1.75. How many C) 8 D) 4
revolutions will it make in travelling 11 km? 62. By selling a car for Rs. 1,40,000 a man
A) 10 B) 100 suffered a loss of 20% what was the cost
C) 1000 D) 10000 price of the car ?
57. Monthly expenditure of a person is shown in the A) Rs.1,50,000 B) Rs.1,25,000
figure. Find the amount has in his savings? C) Rs.2,00,000 D) Rs. 1,75,000
food Rs. 3,000 63. In the given figure B : C = 2:3 find B
Savings A
1300
? 1200

.
2100

B C
other expenses

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 A) 120° B) 52° GROUP –IV - 2016
2 5 4
C) 78° D) 130° 71. (-1 )+ (-37) + (6 7 ) is ________
7
64. Find the point of intersection of the straight
A) 3/7 B) 5/7
line 9x-y-2 =0, 2x+y-9=o
C) 11/7 D) 10/7
A) (-1,7) B) (7,1)
72. The population of a city in the year 2014 is
C) (1,7) D) (-1,-7)
1,80,000 and increases at a rate of 20% per
65. The cost of a dining table is Rs. 8,400 A
year. Find the population of the city in the
wants to buy it in 10 instalments. His E.M.I
year 2016?
is Rs.875.Find the rate of interest?
A) 2,40,000 B) 2,59,200
A) 3% B) 5%
C) 2,55,000 D) 2,54,300
C) 8% D) 10%
73. 3 -25 here, which of the following number is
66. If (x+m) (x+n) =x2+6x+5 find m2 + n2
a suitable in -, so that the number will be a
A) 25 B) 26
perfect square?
C) 27 D) 28
A) 1 B) 0
67. Choose the best answer.
C) 4 D) 6
Two numbers differ by 5. If their products is
336, then the sum of two number is
74. The average mark of 10 children is 80 then
A) 21 B) 28
their total mark is.
C) 37 D) 51
A) 200 B) 300
68. Find the missing number.
C) 800 D) 400
75. A man and woman are engaged in a work.
3 3
A man can do a piece of work in 4 days and
2 4 the woman can do in 12 days. Find how
35 91 many days will they take to finish it
1 together?
A) 6 days B) 5 days
2 9 ? 4
C) 4 days D) 3 days
1 5 76. Which of the following set of measurements
will form a right angle triangle?
A) 6,9,12 B) 5,8,10
C) 5,5,5 2 D) 3,4,4 2
A) 136 B) 156 77. The value of
C) 176 D) 189
69. Find the simple interest and the amount due
609 + 248 + 60 + 7 + 81
on Rs. 6,750 for 219 days at 10 % per
annum
A) 20 B) 25
A) 205 B) 305
C) 16 D) 9
C) 405 D) 415
78. The price of a house is decreased from
70. Three numbers are in the ratio 3:4:5 and
rupees fifteen lakhs to rupees twelve lakhs.
their L.C.M is 2400. There H.C.F is
The percentage of decrease is.
A) 40 B) 80
A) 10% B) 20%
C) 120 D) 200
C) 30% D) 40%

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 79. If 3(t-3) =5(2t +1) then t = ? 89. If the ratio of length and breadth of a
A) -2 B) 2 rectangle is 4:7.Find the length while its
C) -3 D) 3 breadth is 77 cm
1.75 ×1.75+2×1.75×0.75+0.75×0.75 A) 22 cm B) 33 cm
80. The value of 1.75×1.75−0.75×0.75
C) 44 cm D) 55 cm
A) 3.5 B) 6.25
90. A room is 5 m 70 cm long and 4 m 50 cm
C) 1 D) 2.5
broad. Its Area is
81. The value of 16 + 7 - 233 is
3 3
A) 23.4 m2 B) 24.3m2
A) -7728 B) 7028
C) 25 m2 D) 98.01 m2
C) 7728 D) -7718
91. Simplify:
82. Find the next term of 4 in the series is 1 3 5 7 3
1,1,2,8,3,27,4,… 54 + 44 + 78 + 68 + 114
A) 31 B) 29 98 108
A) 47
B) 49
C) 16 D) 64 98 96
C) 45
D) 47
83. Three angles of a triangle are x-30°, x - 45°,
x+15°, find the value of x. 92. Find the rate of interest at which, a sum of
9
A) 60° B) 40° money becomes times in 2 years?
4
C) 80° D) 100° 1 1
A) 69 2% B) 67 2%
84. The difference between simple interest and 1 1
compound interest for a sum of Rs.12,000 C) 62 % D) 61 %
2 2
lent at 10% per annum in 2 years, is 93. The breadth, height and volume of a cuboid
A) Rs.80 B) Rs.90 are 10 cm, 11 cm and 3080 cm3
C) Rs.120 D) Rs.100 respectively. Find the length of the cuboid.
85. The base of a triangle is four times its h A) 21 cm B) 28 cm
eight and its area is 50 m2. The length of the C) 24 cm D) 30 cm
base is 94. A man bought an old bicycle for Rs.1,500.
A) 10 m B) 15 m He spends Rs.500 on its repair and sells it
C) 20 m D) 25 m for Rs.1,800. Find the percentage of his
86. A can do a piece of work in 20 days and B loss.
can do it in 25 days. Both of them finished A) 10% B) 15%
the work and earned Rs.3, 600. Then A‟s C) 20% D) 5%
share is.
A) Rs.1,600 B) Rs.2,000 95. Find the LCM of a3b4, ab5 and a2b7
C) Rs.3,000 D) Rs.3,100 A) a7b3 B) a3b7
7 7 7 C) a2b5 D) ab5
87. If ( )-4× ( )3x = ( )5; then the value of x is
12 12 12
A) -1 B) 1 GROUP - IV [PRELIMS ] - 2018
C) 2 D) 3 MATHS
88. If 22 men can build a wall of 110 meters in
10 days. The length of a similar wall built by 96. The value of e0 is
30 men in 6 days is (A) e (B) 1
A) 100 mts B) 90 mts (C) 0 (D) ∞
C) 80 mts D) 70 mts 97. How many solutions have a linear equation
in one variable?
(A) Three solutions
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 (B) Unique solution 106. Reciprocal of 0 is -------------.
(C) Two solutions (A) 0 (B) 1
(D) No solution (C) ∞ (D) no reciprocal
98. The 7th term of the sequence 0.12, 0.012, 107. Which one of the following statements is
0.0012 …. is false?
(A) 1.2 X 106 (B) 1.2 X 10-6 (A) Among the common divisors of given
(C) 1.2X107 (D) 1.2 X 10-7 numbers, the greatest divisor is the G.C.D.
99. Simplify : (B) If the G.C.D. of any two numbers is 1
9 3 3 3 they are said to be prime numbers
8
÷ 5of 4
+ 5
11 5 (C) Among the common multiples of given
(A) 1 18 (B) 1 18 numbers, the least is the L.C.M.
(D) The product of any two numbers is
13 7
(B) 1 (D) 1 equal to the product of their G.C.D. and
18 18
100. A sum of money triples itself at 8% per L.C.M.
annum over a certain time. The time taken 108. If the product of four consecutive terms in
is G.P is 625. Find the first term.
(A) 20 years (B) 22 years (A) 15 (B) 25
(C) 25 years (D) 30 years (C) 5 (D) 35
101. Find the correct relationship between 109. Gain or loss percent is always calculated
G.C.D. and L.C.M. on
I. G.C.D. = L.C.M. (A) cost price (B) selling price
II. G.C.D. ≤ L.C.M. (C) gain (D) loss
III. L.C.M. ≤ G.C.D. 110. A student goes to his school from his
house at a speed 3 Km/hr and returns at a
IV. L.C.M. > G.C.D.
(A) I (B) II speed of 2 Km/hr. If he takes 5 hours in
going and coming the distance between his
(C) III (D) IV
house and school is
102. If p, q, r, s, t are in A.P, then the value of p-
(A) 5 km (B) 5.5 km
4q + 6r – 4s + t is
(A) 1 (B) 2 (C) 6 km (D) 6.5 km
111. If x, 2x + 2, 3x + 3 are in G.P, then 11x,
(C) 3 (D) 0
22x + 22, 33x + 33 form
103. The G.C.D. and L.C.M. of 90, 150, 225 is
(A) an A.P.
(A) 15, 450 (B) 450, 15
(B) a G.P.
(C) 90, 225 (D) 225, 150
1 1 (C) a constant sequence
104. If 𝑦 − 𝑦 = 6 find the value of y3 - 𝑦3
(D) Neither A.P. nor a G.P.
(A) 216 (B) 222 112. The sum of three numbers is 264 if the first
(C) 234 (D) 228 number be twice the second and third
105. Which of the following statement is false in number be one-third of the first, then the
a parallelogram? second number is
(A) The opposite sides are parallel (A) 48 (B) 72
(B) The opposite angles and sides are equal (C) 54 (D) 64
(C) The diagonals are equal 113. If 12 + 22 +32 + ….. + 102= 385 then 22 + 42
(D) The diagonals bisect each other + 62 + … + 202 is

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 (A) 770 (B) 1150
(C) 1540 (D) 385 x 385
114. In the ratio x % of y to y % of x, its fraction 118. The angle in a semi circle is a ----------------
value is equals to (A) acute angle
1 (B) Obtuse angle
(A) 𝑥𝑦 (B) xy
𝑥 (C) straight angle
(C) 𝑦 (D) 1 (D) right angle
115. Arun is now half as old as his father. 𝑎 𝑏 𝑐 𝑎+𝑏+𝑐
119. If = = then is
3 4 7 𝑐
Twelve years ago the father‟s age was
(A) 7 (B) 2
three times as old as Arun. Now the 1 1
present age of his father‟s age is (C) (D)
2 7
(A) 24 years (B) 36 years 120. Which is biggest ratio?
(C) 48 years (D) 50 years 2:3, 3:5, 4:7, 5:8
(A) 3:5 (B) 4:7
116. If a, b, c are in A.P. then 3a , 3b, 3c are in (C) 5:8 (D) 2:3
(A) A.P. (B) G.P.
(C) A.P. and G.P. (D) None of these
117. If −1 < 𝑟 < 1, then the sum of infinite
number of a geometric series is
𝑎 𝑟 𝑛 −1 𝑎 1−𝑟 𝑛
(A) (B)
𝑟−1 1−𝑟
𝑎
(C) 1−𝑟
(D) 𝑛𝑎

TNPSC - GROUP - IV
PREVIOUS YEAR KEYS – MATHS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
C D D B C A C B B C C D C D C B B A A C
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
B D C A B B C C D A A D B C C A C A B A
41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
B A B C A A C D C D A D B A C C D B B D
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
B D B C B B C D C A C B B C D C B B A D
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
A C C C C A A B C B A C B A B D B D D C
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
D D A C C D B C A C B B C D C B C D B D

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