7

SET

7
Level - 1

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 LOGICAL REASONING

1. Count the number of cubes in the figure given below. 6. Select a figure from the given options that will complete
the given figure matrix.

A. 80 B. 87
C. 89 D. 90
A. B.
2. If one is added to the middle digit of each number
and then numbers are arranged in ascending order,
then what is the sum of digits of fourth number in
the arrangement? C. D.
502 369 857 486 635
A. 8 B. 15 7. There is a definite relationship between figures (i) and
C. 18 D. 19 (ii). Establish a similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
3. If ‘Q’ means ‘addition’, ‘J’ means ‘multiplication’, options that would replace the question mark (?) in
‘T’ means ‘subtraction’ and ‘P’ means ‘division’, then fig (iv).
30 P 2 Q 3 J 6 T 5 = _______.
A. 18 B. 28 ?
C. 31 D. 103

4. A sheet of paper shown in Fig. (X) is folded to form

a box. Choose amongst the given options which is
similar to the box that will be formed.
A. U B. U

÷ ÷ ÷
C. D. U
U

A. 1 and 3 only B. 2, 3 and 4 8. A’s son B is married with C, whose sister D is married
C. 4 only D. 3 and 4 only with E, the brother of B. How is D related to A?
A. Sister B. Daughter-in-law
5. Find the minimum number of straight lines required
C. Sister-in-law D. Cousin
to form the given figure.
9. Find the missing number, if same rule is followed
in all the three figures.

4 3 11 9 15 6

120 990 ?
A. 22 B. 21 A. 700 B. 800
C. 24 D. 20 C. 900 D. 1000

2  Class-7 | Level-1 | Set-7

10. Find the mirror image of given combination of letters 13. Which of the following Venn diagrams best depicts
and numbers, if mirror is placed vertically to the right. the relationship amongst, “Females, Niece, Cousins”?
M6U31KJF
A. B.
U 1
FJK13U6M FJK 3 6M A. B.
C. D.
M
F 13U6M FJK13U6
KJ

11. If the first and second letters in the word DEPRESSION

were interchanged, also the third and fourth letters,
the fifth and sixth letters and so on, which of the C. D.
following would be the eighth letter from the left end?
A. R B. O C. S D. I
14. If in a certain code language, 'RAM' is coded as 'QZL',
12. Choose the odd one out. then how will 'CAB' be coded in that code language?
A. BAZ B. BZA
C. CZA D. CZC
A. B.
15. Shobhit started walking straight facing East. After
walking a distance of 20 metres, he took a right turn.
Again walking 10 metres, he took a left turn and again
C. D.
M after walking 10 metres, he took a left turn. In which
direction is he facing now?
A. East B. West
C. North D. North-West

MATHEMATICAL REASONING

16. A copper wire when bent in the form of a square What is the ratio of the minimum to the maximum
encloses an area of 121 cm 2 . If the same wire is number of bulbs sold in the week?
bent in the form of a circle, find the area enclosed by it. A. 3 : 5 B. 1 : 3
 22  C. 4 : 3 D. 3 : 2
 Take π = 
7
20. The radius of a circular
A. 95 cm2 B. 100 cm2 metal sheet is 14 cm. A
C. 121 cm2 D. 154 cm2 circular piece of radius
17. A figure has a rotational symmetry of order more 7 cm is cut out from it. 7 cm

than 3, the angle of rotation can be ________. What is the area of the 14 cm
remaining metal sheet?
A. 120° B. 50° C. 40° D. 180°
 22 
 Take π = 
18. A number is selected randomly from the numbers 7
1, 2, 3, 4, ......., 15. Find the probability that the A. 154 cm2 B. 210 cm2
selected number is a prime number. C. 314 cm2 D. 462 cm2
1 2 3
A. B. 1 C. D. x 3 6 y − x
5 5 5 21. If = , then the value of  + equals ____.
y 4 7 y + x 
19. The given graph shows the number of electric bulbs 5 1
sold in a shop during a week. A. B. 1
7 7
C. 1 D. 2

22. The simple interest on a certain sum for 3 years at 8%

per annum is ` 96 more than the simple interest on the
same sum for 2 years at 9% per annum. Find the sum.
A. ` 1300 B. ` 1400
C. ` 1500 D. ` 1600

23. If P = x + y + z and Q = 2x – y + 3z, then find P + 2Q.

A. 5x + y + 7z B. 3x – y + 7z
C. 5x – y + 7z D. 5x – y – 7z
Class-7 | Level-1 | Set-7 3
24. Simplify : 1.3 × 3.1 + 2.73 ÷ 1.3 – 4.09 29. The base of a parallelogram is twice its height.
A. 2.04 B. 6.13 C. 2.10 D. 4.03 If the area of the parallelogram is 72 sq. cm, find
its height.
25. In the given figure, ABCD is a square. Find the area
A. 3 cm B. 4 cm
of the shaded region. C. 5 cm D. 6 cm

30. The ratio of the selling price to the cost price of an

article is 7 : 5. What is the ratio of the profit to the
cost price of that article?
A. 2:7 B. 5:2
C. 7:2 D. 2:5

31. At what rate percent per annum will the simple interest
2
A. 286 m2 B. 382 m2 on a sum of money be of the sum in 10 years?
5
C. 475 m2 D. 575 m2 2
A. 4% B. 5 %
3
26. Calculate the value of x in the given figure.
2
C. 6% D. 6 %
3

32. The numerator of a fraction is 6 less than the

denominator. If 1 is added to both the numerator
1
and denominator, the fraction becomes . Find
2
the fraction.
2 3
A. B.
11 11
A. 40° B. 50° C. 60° D. 70°
4 5
C. D.
27. In the given figure, triangles ABC and DCB are 11 11
right angled at A and D respectively and AC = DB, 33. In the given figure, a line l l
then by which of the following congruency rule, intersects two lines m and n b a
DABC @ DDCB? at two distinct points. Which m
c d
A D
of the following is incorrect? f e
A. If ∠a = ∠e, then m||n. g h n
B. If ∠d = ∠e, then m||n.
B C C. If ∠c = ∠f, = 180°, then m||n.
A. AAA B. SAS D. If ∠f = ∠d, then m||n.
C. ASA D. None of these 34. Sixty-five percent of a number is 21 less than
four-fifth of that number. What is the number?
28. Subtract  8 x 2 − 2 x 3 + 3 x − 1 from A. 40 B. 140
5 3 2 
C. 240 D. 340
 x3 3 2 2 1 .
 − x + x + 
5 2 3 4  2 1  14
13 3 12 2 5 4 5  3 − 3  ÷
A. x + x − x + 35. Simplify: 3 5 15
15 11 2 4   1  −1  1  −2   2  −1
  2  +  3   ÷ 1 
13 3 31 2 5 5   3   2    5 
B. x − x − x+
15 10 6 4
2 −13
14 3 20 2 2 6 A. B.
C. x − x + x+ 3 10
17 17 3 7
42 7
D.
18 3 14 2
x - x -x-
4 C. D.
7 13 7 25 10

4  Class-7 | Level-1 | Set-7

 EVERYDAY MATHEMATICS

36. In a shopping complex, an elevator descends at a speed A. 100 B. 200

of 9 m/min. If it begins to descend from 183 m above the C. 300 D. 400
ground, then what will be its position after 30 minutes?
41. How many times does Rani has to run around a field
A. 87 m above the ground
B. 270 m below the ground 83 m long and 33 m wide, in order to cover a distance
C. 87 m below the ground of 812 m?
D. 96 m below the ground A. 3.5 B. 2.5
C. 1.5 D. 5.5
1
37. The perimeter of a triangular plot is 20 m. If the
2 42. Out of her total monthly income, Mrs Sharma spends
1
length of the two sides are 9 m and 7 m, then find 30% on house rent and 60% of the rest on household
3 expenses. If she saves ` 6300 per month, what is her
the length of the third side. monthly income?
1 1
A. 4 m B. 6 m A. ` 12500 B. ` 22500
6 4
C. ` 30000 D. ` 14000
1 1
C. 3 m D. 2 m
4 3 43. The present age of father is 3 years more than three
times the age of his son. Three years hence, father’s
38. In a test, a student secured 60 marks in Hindi, 70 age will be 10 years more than twice the age of the
marks in Mathematics, 65 marks in Science and
son. Find the present age of the father.
55 marks in English. Find the percentage of marks
in Mathematics with respect to total marks obtained. A. 33 years B. 23 years
C. 43 years D. 53 years
A. 28% B. 32%
C. 46% D. 50% 44. A sum of ` 600 amounts to ` 720 in 4 years. What will it
2 amount to, if the rate of interest is increased by 2%?
39. An article is sold at a certain price. By selling it at
3 A. ` 724 B. ` 648
of that price, one losses 10%. Find the gain percent C. ` 768 D. ` 792
at the original price.
A. 35% B. 45% 45. In an examination, 95% of total examinees passed.
C. 42% D. 40% If the number of failures is 28, how many examinees
were there?
40. A student has to score 50% of the maximum marks to
A. 840 B. 600
pass. Raj scored 165 marks and failed by 35 marks.
Find the maximum marks. C. 560 D. 480

ACHIEVERS SECTION
5
46. Find the value of x. C. 1
3
4 × 9 × 25
3 2
3
(i) = 3 5
(8) 2 × ( x ) −3 (5) −5 D.
5 7
1 − x 2 x 1 − 7 x 13 47. Select the INCORRECT statement.
(ii) + − =
6 3 4 6 A. The quotient of two negative integers is always
(i) (ii) positive.
5 B. Distributivity of addition over multiplication holds
7
A. for integers.
6 3
C. An integer and its negative are additive inverse
9 of each other.
B. 2 D. Integers are closed under subtraction.
5

Class-7 | Level-1 | Set-7 5

48. What percentage of cubes are removed from 50. In the National Public School, 200 students were asked
Figure (I) to get Figure (II)? to name a career they would like to pursue. The results
are shown in the given table. Which of the given
statements is supported by the data in the table?
CAREER CHOICE
Career Number of Students
Acting 30
Figure (I) Figure (II)
Sports 40
A.
4
18 % B. 27
3
% Business 1
5 11 Dance 70
3 3 Airlines 19
C. 18 % D. 21 %
4 7 Politics 10
49. Study the following statements carefully and select Music 22
the correct option. Teaching 8
P : In an isosceles triangle, all medians and altitudes
A. More than 25% of the total students like to pursue
coincides.
their career in acting and music together.
Q : Every triangle is a concave polygon.
B. Less than 3% of total students choose teaching.
A. Both P and Q are true.
B. Both P and Q are false. C. The average of the data is 30.
C. P is true but Q is false. D. Exactly 10% of the total students like to pursue
D. P is false but Q is true. their career in politics.

SPACE FOR ROUGH WORK

6  Class-7 | Level-1 | Set-7