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Annalise this and make a note all math Questions

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Here's an analysis of the provided text, focusing on identifying and listing all math
questions:

The document appears to be a compilation of questions from a "Combined Higher

Secondary Level Examination 2024 Tier I" with sections for English Language, General
Intelligence, Quantitative Aptitude, and General Awareness.
Math Questions Identified:
The math questions are primarily found under the "Section : Quantitative Aptitude" sub-
headers.
From Exam Date 01/07/2024, Exam Time 9:00 AM - 10:00 AM:

Q.1: If Arun’s salary was decreased by 50% and subsequently increased by 50%, then
how much per cent did he lose?
Q.3: A motorcycle covered the first 60 km of its journey at an average speed of 40 km/h.
The speed of the motorcycle for covering the rest of the journey, i.e. 90 km, was 45
km/h. During the whole journey, the overall average speed of the motorcycle was:
Q.7: A company has five plants for manufacturing spare parts. Each plant manufactures
local quality and export quality. What is the ratio of the production of local quality and
export quality units of the highest manufacturing plant?
Q.10: (This question is incomplete in the provided text, only the answer options are
visible).
Q.11: (This question is incomplete in the provided text, only the answer options are
visible).
Q.12: Given that the perimeters of two similar triangles, ∆ABC and ∆DEF, are 24 cm and
9 cm, respectively, and DE = 3 cm, what is the ratio between the area of ∆ABC and that
of ∆DEF?
Q.13: A man spent 60% of his salary on household expenses, 20% of his salary on rent
and out of remaining salary, he donated 80% to a trust. If he is left with ₹20,000, then
what is his salary?
Q.15: If equation of line p is x + y = 5 and that of line q is x − y = 3, what are the
coordinates of the point common to both the lines?
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Q.17: What will be the least value of x so that the 5-digit number 627x5 becomes
divisible by 9?
Q.18: The ratio of the diameters of two spheres is given as 1 : 4. The larger sphere is
melted and 125 identical spheres are made out of the molten material. The smaller
sphere is melted and 27 identical spheres are made out of the molten material. If the
ratio of the volume of each of the 125 identical spheres to the volume of each of the 27
identical spheres is given as 1 : m, what is the value of m?
Q.19: If PQ and PR are the two tangents to a circle with center O, and ∠ QOR=150°,
then ∠ QPR is equal to:
Q.20: A man walking at the speed of 5 km/h covers a certain distance in 3 hours 45
minutes. If he covers the same distance by a cycle in 2 hours 10 minutes, then the
speed of the cycle in km/h is:
Q.21: (This question is incomplete in the provided text, only the answer options are
visible).
Q.22: The surface area of a cube is 486 cm 2 Find the volume.
Q.24: Mohan gets 12% increase in his sale amount in the first year and 15% increase in
the second year, with that his present sale is ₹1,28,800. What was his sale two years
ago?

From Exam Date 01/07/2024, Exam Time 2:30 PM - 3:30 PM:

Q.1: A man can row 18 km/h in still water. It takes him two times as long to row up as to
row down the river. Find the rate of the stream.
Q.2: CD is a tangent to a circle of circumference of 88 cm with its centre at O. OC cuts
the circle at P while OD cuts circle at V such that ∠ COD = 90°. Length of PC is 6 cm.
What is half of CD (in cm) if OD exceeds OC by 1 cm?
Q.3: If 1234567y is divisible by 11, then what is the value of y?
Q.5: If the selling price of 100 pens is equal to the cost price of 140 pens, find the profit
percentage.
Q.8: P pays Q a sum of ₹150 using coins of ₹2, ₹5 and ₹10. He uses a total of 50 coins.
If the ratio of ₹2 and ₹5 coins used is 5 : 2, then how many coins of ₹10 are used in the
payment?
Q.9: An amount becomes double in 7 years on simple interest. The amount would be
four times in ______ years on the same rate of simple interest.
Q.11: The bar graph represents the production of different spare parts of computer in
different months. The ratio between the number of pen drives produced in the month of
Jan, March and April is:
Q.14: In an election between two candidates A and B, A got 33% of total votes casted
and still lost by 55,522 votes. Find the total number of votes got by B.
Q.17: (This question is incomplete in the provided text, only the answer options are
visible).
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Q.18: (This question is incomplete in the provided text, only the answer options are
visible).
Q.20: If the radii of two circles are 6 cm and 3 cm and the length of the transverse
common tangent is 8 cm, then the distance between the two circles is:
Q.21: In what ratio must a grocer mix two varieties of pulses costing ₹60 and ₹75 per kg,
respectively, so as to get a mixture worth ₹65 per kg?
Q.22: In an isosceles triangle, the angle between equal sides is 40°. The bisectors of the
other two angles will intersect each other at an angle of:
Q.24: The cost price of an item increased from ₹2,500 to ₹3,000. Find the increase
percentage.
Q.25: Find the circumference of a circle whose area is 154 m 2 .

From Exam Date 01/07/2024, Exam Time 11:45 AM - 12:45 PM:

Q.1: The age of the older of two boys is thrice that of the younger. 9 years ago it was five
times that of the younger. Find the present age of each.
Q.3: The respective ratio between numerical values of the curved surface area and the
volume of a right circular cylinder is 2 : 3. If the respective ratio between the radius and
the height of the cylinder is 3 : 7, what is the total surface area of the cylinder?
Q.4: Find the number when successively divided by 3,5and 7 leaves remainder 2,1and
3, respectively, and the last quotient is 3.
Q.5: In a circle, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and
BA is produced to F. If ∠ ABC = 85° and ∠ FAE = 24°, find the value of ∠ BCD.
Q.6: If 18 toys out of 75 toys are for boys and the rest are for girls, what is the
percentage of girls toys?
Q.7: A person drives 110 miles at 55 miles per hour, he drives the next 120 miles at 60
miles per hour, and then he drives the next 60 miles in an hour. What is his average
speed for the entire journey in miles per hour ?
Q.8: In a ∆ABC, two medians AD and BE intersect at G at right angles. If AD = 18 cm
and BE = 12 cm, then the length of BD is equal to:
Q.9: What is the value of the following expression?
Q.10: The surface areas of two spheres are in the ratio 25 : 36. What is the ratio of their
volumes?
Q.11: (This question is incomplete in the provided text, only the answer options are
visible).
Q.13: A man spent 60% of his salary on household expenses, 20% of his salary on rent
and out of remaining salary, he donated 80% to a trust. If he is left with ₹20,000, then
what is his salary?
Q.14: PQ is a diameter of a circle with centre O. The tangents at R meets PQ produced
at A. If ∠ RPQ = 27°, then measure of ∠ RQP is:
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Q.16: Three persons ran for office and got, 1136, 7636 and 11628 votes, respectively.
What was the winning candidate's percentage of the total votes?
Q.18: Reshma took a loan of ₹12,00,000 with simple interest for as many years as the
rate of interest. If she paid ₹9,72,000 as interest at the end of the loan period, what was
the rate of interest per annum ?
Q.22: The surface area of a cube is 486 cm 2 Find the volume.
Q.24: The sides of a cuboid are in the ratio 3 : 4 : 5 and its surface area is equal to the
surface area of the cube with side 6 units. What is the approximate volume of the
cuboid?
Q.25: (This question is incomplete in the provided text, only the answer options are
visible).

From Exam Date 02/07/2024, Exam Time 11:45 AM - 12:45 PM:

Q.1: In a certain code language, ‘M & N’ means ‘M is the wife of N’, ‘M @ N’ means ‘M is
the brother of N’, ‘M $ N’ means ‘M is the father of N’, ‘M # N’ means ‘M is the sister of
N’. Based on this, how is D related to H, if ‘D & E $ F # G @ H’? (This is a logical
reasoning question, not a math question, but it's under a "General Intelligence" section
which often includes quantitative reasoning).
Q.2: Select the set in which the numbers are related in the same way as are the
numbers of the following sets. (5, 7, 74) (6, 4, 52) (NOTE : Operations should be
performed on the whole numbers, without breaking down the numbers into its constituent
digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc., to 13 can
be performed. Breaking down 13 into 1 and 3 and then performing mathematical
operations on 1 and 3 is not allowed.)
Q.6: How many triangles are there in the given figure? (This is a geometry/counting
question, often found in quantitative reasoning).
Q.10: How many squares are there in the given figure? (This is a geometry/counting
question, often found in quantitative reasoning).
Q.13: 11 is related to 55 following a certain logic. Following the same logic, 22 is related
to 110. To which of the following is 44 related following the same logic? (NOTE :
Operations should be performed on the whole numbers, without breaking down the
numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting
/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then
performing mathematical operations on 1 and 3 is not allowed.)
Q.17: How many meaningful English words can be formed with letters CKIK, using each
letter only once in each word? (This is a word puzzle, not a math question).
Q.22: 105 is related to 15 following a certain logic. Following the same logic, 154 is
related to 22. To which of the following is 189 related following the same logic? (NOTE :
Operations should be performed on the whole numbers, without breaking down the
numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting
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/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then
performing mathematical operations on 1 and 3 is not allowed.)
Q.1: A man can row 18 km/h in still water. It takes him two times as long to row up as to
row down the river. Find the rate of the stream.
Q.2: CD is a tangent to a circle of circumference of 88 cm with its centre at O. OC cuts
the circle at P while OD cuts circle at V such that ∠ COD = 90°. Length of PC is 6 cm.
What is half of CD (in cm) if OD exceeds OC by 1 cm?
Q.3: If 1234567y is divisible by 11, then what is the value of y?
Q.5: If the selling price of 100 pens is equal to the cost price of 140 pens, find the profit
percentage.
Q.8: P pays Q a sum of ₹150 using coins of ₹2, ₹5 and ₹10. He uses a total of 50 coins.
If the ratio of ₹2 and ₹5 coins used is 5 : 2, then how many coins of ₹10 are used in the
payment?
Q.9: An amount becomes double in 7 years on simple interest. The amount would be
four times in ______ years on the same rate of simple interest.
Q.11: The bar graph represents the production of different spare parts of computer in
different months. The ratio between the number of pen drives produced in the month of
Jan, March and April is:
Q.14: In an election between two candidates A and B, A got 33% of total votes casted
and still lost by 55,522 votes. Find the total number of votes got by B.
Q.17: (This question is incomplete in the provided text, only the answer options are
visible).
Q.18: (This question is incomplete in the provided text, only the answer options are
visible).
Q.20: If the radii of two circles are 6 cm and 3 cm and the length of the transverse
common tangent is 8 cm, then the distance between the two circles is:
Q.21: In what ratio must a grocer mix two varieties of pulses costing ₹60 and ₹75 per kg,
respectively, so as to get a mixture worth ₹65 per kg?
Q.22: In an isosceles triangle, the angle between equal sides is 40°. The bisectors of the
other two angles will intersect each other at an angle of:
Q.24: The cost price of an item increased from ₹2,500 to ₹3,000. Find the increase
percentage.
Q.25: Find the circumference of a circle whose area is 154 m 2 .

From Exam Date 02/07/2024, Exam Time 2:30 PM - 3:30 PM:

Q.1: How many semi circles are there in the given figure? (Geometry/counting)
Q.3: 45 is related to 100 following a certain logic. Following the same logic, 65 is related
to 140. To which of the following is 105 related, following the same logic? (NOTE:
Operations should be performed on the whole numbers, without breaking down the
numbers into their constituent digits. E.g. 13 by
Generated – Operations
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/subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then
performing mathematical operations on 1 and 3 is not allowed.)
Q.8: Which two numbers should be interchanged to make the given equation correct? 8
× (7 + 5 − 3) + (46 ÷ 23) × 6 − 69 = 44 (NOTE: Numbers must be interchanged and not
the constituent digits e.g. if 2 and 3 are to be interchanged in the equation 43 × 3 + 4 ÷ 2,
then interchanged equation is 43 × 2 + 4 ÷ 3)
Q.9: The position of how many letters will remain unchanged, if each of the letters in the
word DICTIONARY is arranged in alphabetical order? (This is a logical reasoning
question, not a math question).
Q.15: If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’, then the
resultant of which of the following will be 233?
Q.19: If 24 August 1932 was a Wednesday, then what was the day of the week on 11
September 1943? (Calendar problem, often considered quantitative reasoning).
Q.21: LH3 is related to RN21 in a certain way. In the same way, JF5 is related to PL35.
To which of the following is ZV6 related following the same logic? (Pattern recognition
with numbers and letters).
Q.25: Select the set in which the numbers are related in the same way as are the
numbers of the following sets. (26, 38, 128) (42, 19, 122) (NOTE : Operations should be
performed on the whole numbers, without breaking down the numbers into its constituent
digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc., to 13 can
be performed. Breaking down 13 into 1 and 3 and then performing mathematical
operations on 1 and 3 is not allowed.)
Q.1: On dividing a certain number by 304, we get 43 as the remainder. If the same
number isdivided by 16, what will be the remainder?
Q.2: The sum of the five consecutive even numbers is 2720. The sum of the third and
fifth numbers is:
Q.3: An electric vehicle company produces three different car models: A, B and C. The
production of three different models over a period of four years has been shown in the
bar graph below. What is the difference between the average production of Model A in
2019, 2021 and 2022 and the average production of Model B in 2020, 2021 and 2022?
Q.5: Consider two concentric circles having radii 17 cm and 15 cm. What is the length (in
cm) of the chord, of the bigger circle, which is a tangent to the smaller circle?
Q.6: The volume of a cube is reduced to 72.9%. By how much is the side of the cube
reduced?
Q.7: When a number is increased by 8, it becomes 120% of itself. The number is:
Q.11: 47 masons can dig a 35 m long trench in one day. How many masons should be
employed for digging a 105 m long trench of the same type in one day?
Q.12: (This question is incomplete in the provided text, only the answer options are
visible).

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Q.15: The distance between the centres of two circles of radii 4 cm and 2 cm is 10 cm.
The length (in cm) of a transverse common tangent is:
Q.16: If the brick size is 25 cm×12 cm×9 cm, then how many bricks are required to
construct a wall of length 10 m, breadth 22.5 cm and height 6 m?
Q.19: (This question is incomplete in the provided text, only the answer options are
visible).
Q.20: Two equal circles are drawn on a square in such a way that opposite side of the
square forms the diameter of each circle. If the remaining area of the square is 42 cm 2 ,
what is the measurement (in cm) of the diameter of each circle?
Q.22: From the salary of a software engineer, if 15% is used as house rent, 25% of the
remaining is spent on household items, 25% of the remaining as income tax, and 15% of
the remaining on clothing, then he is left with ₹10,404. Find his total salary.
Q.23: If the side of a square is increased by 5%, then the percentage increase in its area
will be:
Q.24: If 35 is the mean proportional of 25 and x, then what is value of x?
Q.25: (This question is incomplete in the provided text, only the answer options are
visible).

From Exam Date 02/07/2024, Exam Time 5:15 PM - 6:15 PM:

Q.1: Select the correct mirror image of the given combination when the mirror is placed
at MN. (Geometry/mirror image)
Q.6: Select the correct mirror image of the given combination when the mirror is placed
at MN as shown below. (Geometry/mirror image)
Q.9: Select the option that is related to the third number in the same way as the second
number is related to the first number and the sixth number is related to the fifth number.
64 : 512 :: 169 : ? :: 225 : 3375 (Number analogy)
Q.14: If 1 January 2020 was a Wednesday, then what day of the week was it on 1
January 2021? (Calendar problem)
Q.17: CZ22 is related to HE33 in a certain way. In the same way, QN47 is related to
VS58. To which of the following is WT7 related following the same logic? (Pattern
recognition with numbers and letters).
Q.19: If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’, then the
resultant of which of the following will be 217?
Q.25: How many triangles are there in the given figure? (Geometry/counting)
Q.1: Given is a circle with centre at C. A, B and D are the points on the circumference.
Find ∠ ABC.
Q.4: (This question is incomplete in the provided text, only the answer options are
visible).
Q.5: If the selling price of 40 articles is equal to the cost price of 50 articles, then the
percentage gain is: Generated by BlackBox AI
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Q.6: The surface area of a sphere is 2464 cm 2 . Find its volume.

Q.7: The following graph shows the production of milk in 4 states in 2010 and 2011. The
difference between the average production (in thousand tonnes) for all state in both
years is:
Q.8: The difference between two numbers is 48. The ratio of these two numbers is 7 : 3.
What is the sum of the two numbers?
Q.10: The population of a city was 5000000 in 2020. The population grows 7.5%
annually. The population in 2022 is ______.
Q.11: In an election, a candidate secured 41% of the votes polled and lost the election
by 97,632. What is the number of votes obtained by the winning candidate?
Q.13: If the side of a cube is 3,which of the following options is equal to the ratio
between the surface area and the volume of the cube?
Q.14: M varies inversely as (N 2 + 3). If M = 3 when N = 3, then what will be the value of
M when N 2 = 69?
Q.16: Diagonals of a trapezium ABCD with AB ∥ DC, intersect each other at the point ‘O’.
If AB = 2.5CD, find the ratio of the area of triangle AOB to the area of triangle COD.
Q.17: Which of the following are the sides of a right-angled triangle?
Q.19: Find the lowest positive value of (c – b) such that the 7-digit number 1738b9c is
divisible by 12.
Q.20: The simple interest on the sum for 12 years is three-fifth of the sum. The rate of
interest per annum is:
Q.21: Sumit’s income in 2020 was ₹21,000. He gets an increment of 10% every year.
What was his income in 2022?
Q.22: Successive division of a number by 2, 3, 5 and 7 gives remainders 1,4,0 and 5,
respectively. What will be the sum of the remainders if the same number is divided by 7,
5,3 and 2 successively?
Q.24: Two circles of radius 7 units each, intersect in such a way that the common chord
is of length 7 units. What is the common area in square units of the intersection?
Q.25: (This question is incomplete in the provided text, only the answer options are
visible).

From Exam Date 03/07/2024, Exam Time 9:00 AM - 10:00 AM:

Q.1: ‘Z + Y’ means ‘Z is the father of Y’ ‘Z – Y’ means ‘Z is the mother of Y’ ‘Z × Y’ means

‘Z is the brother of Y’ ‘Z ÷ Y’ means ‘Z is the sister of Y’. What does ‘A × B – C’ mean?
(Logical reasoning/blood relations, not direct math).
Q.8: If 3 April 1996 was Wednesday, then what was the day of the week on 7 April 2001?
(Calendar problem)
Q.9: If 15 January 2019 was a Tuesday, then what day of the week was it on 29 January
2020? (Calendar problem)
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Q.15: How many triangles are there in the given figure? (Geometry/counting)
Q.18: Select the set in which the numbers are related in the same way as are the
numbers of the following sets. (NOTE: Operations should be performed on the whole
numbers, without breaking down the numbers into its constituent digits. E.g. 13 –
Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed.
Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3
is not allowed.) (245, 49, 5) (144, 9, 16)
Q.23: 100 is related to 20 following a certain logic. Following the same logic, 250 is
related to 50. To which of the following is 550 related, following the same logic? (NOTE:
Operations should be performed on the whole numbers, without breaking down the
numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting
/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then
performing mathematical operations on 1 and 3 is not allowed)
Q.24: 72 is related to 96 following a certain logic. Following the same logic, 66 is related
to 88. Which of the following numbers is related to 104 using the same logic? (NOTE :
Operations should be performed on the whole numbers, without breaking down the
numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /
subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and
then performing mathematical operations on 1 and 3 is not allowed)
Q.1: When a number is divided by 512 it leaves a remainder 67. If the same number is
divided by 32, then what will be the remainder?
Q.3: The internal length, breadth and height of a cardboard box are 6 cm, 10 cm and 12
cm, respectively. How many boxes are needed in which cubes whose volume is 2160 cm
3 can be packed?
Q.4: If a circle whose centre is (2, 3) touches the line 4x + 3y − 7 = 0, then the radius of
the circle is:
Q.5: If the radius of a sphere is doubled, then the volume of the sphere becomes _____
times the previous volume.
Q.6: Monthly expenditure of Ritvik decreases from ₹12,800 to ₹11,712. Find the
percentage decrease in his expenditure.
Q.7: In ΔPQR, S and T are points on PQ and PR, respectively, such that ST ∥ QR and
ST divides the ΔPQR into two parts of equal areas. Then the ratio of PS and QS is:
Q.9: Joey completed the school project in 15 days. How many days will Tim take to
complete the same work if he is 25% more efficient than Joey?
Q.10: A retail fruit vendor buys a score of apples for ₹400 and retails them for ₹264 at a
dozen. What was his loss/gain per cent? (a score = 20 no’s)
Q.11: In an election between two candidates, the defeated candidate secured 42% of the
valid votes polled and lost the election by 2545800 votes. If 365500 votes were declared
invalid and 30% people did not cast their vote, what was the approximate number of
people (in millions) in the electorate who did NOT cast their votes?
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Q.12: In a circle with centre O, ABC is a secant intersecting the circle at A and B and DC
is a tangent to the circle at D. If DC = 12 cm and BC = 6 cm, then the length of AB is
equal to:
Q.13: An 8 digit number is divisible by 99. If the digits are shuffled, then the number is
always divisible by __________.
Q.14: A and B are centres of two circles of radii 32 cm and 8 cm, respectively. CD is a
direct common tangent to the circles. If the length of AB = 30 cm, then the length of CD
will be:
Q.15: The given line graph shows the number of scooters manufactured (in thousands)
by companies X and Z, over the years. What is the approximate difference between the
total production by companies X and Z in the given years?
Q.17: In an election between two candidates, a candidate who gets 78% of the votes is
elected by a majority of 448 votes. What is the total number of votes polled?
Q.18: Among the ratios 3 : 4, 5 : 8, 1 : 2, 6 : 9 which is the greatest?
Q.19: Study the given chart based on the population using different types of transport in
the given cities. Assuming that no person uses more than one type of transport, answer
the question that follows. What is the percentage of people using all types of
transportation in Pune to the total number of people using all types of transportation in all
cities?
Q.20: The heights of two cones are in the ratio of 5 : 3 and their radii are in the ratio 6 :
5. Find the ratio of their volumes.
Q.22: What is the present worth of ₹2,400 due in 4 years at a rate of 5% simple interest
per annum?
Q.23: (cot θ + tan θ)(cosec θ − sin θ)(cos θ − sec θ) = ________.
Q.24: (This question is incomplete in the provided text, only the answer options are
visible).
Q.25: The length of the portion of the straight line 5x + 12y = 60 intercepted between the
axes is:

From Exam Date 03/07/2024, Exam Time 11:45 AM - 12:45 PM:

Q.1: If 17 August 2003 was a Sunday, then what was the day of the week on 12
September 2014? (Calendar problem)
Q.13: The position of how many letters will remain unchanged if each of the letters in the
word MENTOR is arranged in the alphabetical order? (Logical reasoning, not direct
math).
Q.14: ‘D + E’ means ‘D is the father of E’ ‘D – E’ means ‘D is the sister of E’ ‘D × E’
means ‘D is the mother of E’ ‘D ÷ E’ means ‘D is the brother of E’. Which of the following
represents ‘K is the brother's daughter of L’? (Logical reasoning/blood relations, not
direct math).

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Q.15: If ‘Z’ stands for ‘÷’, ‘H’ stands for ‘×’, ‘M’ stands for ‘+’ and ‘T’ stands for ‘–’, what
will come in place of the question mark (?) in the following equation? 52 M 36 Z 18 T 46
H 19 = ?
Q.18: Select the set in which the numbers are related in the same way as are the
numbers of the following sets. (NOTE: Operations should be performed on the whole
numbers, without breaking down the numbers into its constituent digits. E.g. 13 –
Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed.
Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3
is not allowed.) (245, 49, 5) (144, 9, 16)
Q.19: How many triangles are there in the given figure? (Geometry/counting)
Q.23: 100 is related to 20 following a certain logic. Following the same logic, 250 is
related to 50. To which of the following is 550 related, following the same logic? (NOTE:
Operations should be performed on the whole numbers, without breaking down the
numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting
/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then
performing mathematical operations on 1 and 3 is not allowed)
Q.1: The ratio of a father’s age to his son’s age is 7 : 4. The product of the numbers
representing their ages is 1372. The ratio of their ages after 8 years will be:
Q.3: In ΔABC,XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm
,BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?
Q.7: A boat can travel 60km downstream in 4 hours. If the speed of the boat in still water
is 13 km/h, then in what time will it cover 30 km upstream?
Q.9: During the first year the population of a village increased by 5% and during the
second year it diminished by 5%. At the end of the second year its population was
47,880. What was the population at the beginning of the first year?
Q.10: How many numbers lie between 2000 and 2020 that are divisible by 8?
Q.13: The perimeter of a minor sector of a circle of radius 4 units subtending an angle of
45° is:
Q.14: The areas of two similar triangles ΔPQR and ΔXYZ are 12.96 cm 2 and 635.04 cm
2 , respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:
Q.17: In a group of 250 persons, 40% are males and 60% are females. If 30 more
females join the group, then what will be the percentage of females in the new group?
(Correct to 2 decimal places)
Q.20: O is the centre and the arc PQR subtends an angle of 240° at O. PQ is extended
to A. Then ∠ AQR is:
Q.22: The graphs of two linear equations, x + 2y = 15 and 4x + 8y = 13 will be:
Q.23: The capacity of a cylinder tank is 8316 cm 3 . If the radius of its base is 21 cm,
then find the depth of the tank.
Q.24: (This question is incomplete in the provided text, only the answer options are
visible).
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Q.25: Two circles touch each other externally as shown in the figure above. The radius
of the circle with centre O is 49 cm. The radius of the circle with centre A is 16 cm. Find
the length (in cm) of their common tangent BC.

From Exam Date 03/07/2024, Exam Time 5:15 PM - 6:15 PM:

Q.5: 129 is related to 387 following a certain logic. Following the same logic, 164 is
related to 492. To which of the following is 148 related, following the same logic?
Q.6: If ‘R’ stands for ‘÷’, ‘K’ stands for ‘×’, ‘G’ stands for ‘+’ and ‘D’ stands for ‘–’, what will
come in place of the question mark (?) in the following equation? 32 G 15 R 15D 17 K 18
=?
Q.14: If 10 October 2003 was a Friday, then what was the day of the week on 8 October
2015? (Calendar problem)
Q.19: (This question is incomplete in the provided text, only the answer options are
visible).
Q.23: How many triangles are there in the given figure? (Geometry/counting)
Q.25: If 19 July 2000 is Wednesday, then what will be the day of the week on 17 March
2015? (Calendar problem)
Q.2: A clock is sold for ₹550 cash or in the instalment scheme, for ₹250 cash down
payment and ₹310 after one month. Find the rate of interest charged in the instalment
scheme.
Q.3: A person spends 10% of his income on groceries, 10% on medicines, 20% on
children’s education, 15% on house rent, and he saves the remaining amount. If his
monthly income is ₹30,000, find his savings.
Q.4: In a state election between two parties, 83% of the voters cast their votes, out of
which 4% of the votes were declared invalid. Party A got 156611 votes which were 83%
of the total valid votes. Find the total number of votes enrolled in that election. (Consider
integer part only)
Q.5: A man looks at the reflection of the top of the lamp-post on the mirror that is 6.6 m
away from the foot of the lamppost. The man’s height is 1.25 m and he is standing 2 m
away from the mirror. Assuming that the mirror is placed on the ground, facing the sky
and the man, and that the mirror and the lamp-post are in a same line, find the height of
the lamp-post (in metres).
Q.6: (This question is incomplete in the provided text, only the answer options are
visible).
Q.7: The number nearest to 7658 and exactly divisible by 45 is:
Q.8: There is a circle with a centre T and a radius of 8 cm. Two tangents KE and KI are
drawn from point K, which is 17 cm from the centre. The area of the quadrilateral TEKI
is:
Q.10: In the year 2000, Monu was 3 times his sister’s age. In 2010, he was 24 years
older than her. Find Monu’s age in 2010.
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Q.12: (This question is incomplete in the provided text, only the answer options are
visible).
Q.13: Which of the following numbers is divisible by 22?
Q.14: Shankar covers a certain distance by a car driving at 40 km/h and he returns to the
starting point riding on a scooter with a speed of 20 km/h. Find the average speed of the
whole journey.
Q.15: (This question is incomplete in the provided text, only the answer options are
visible).
Q.16: Three solid cubes of metal have sides 6 cm, 8 cm and 10 cm, respectively. They
are melted to form a new cube. What is the surface area of this new cube?
Q.17: If 70% of the cost price of an article is equal to 40% of its selling price, what is the
profit percentage?
Q.20: Convert 28% into the form of ratio.
Q.21: A box filled with gift articles weighs 25 kg. If the weight of the box and the gift
articles, respectively, are in the ratio 1 : 9, then the weight of the articles (in grams) is:
Q.22: If the diameter of the base and curved surfaced area of a cylinder are 14cm and
352 cm 2 ,respectively, then the total surface area of the cylinder is equal to:
Q.24: In the given figure, O is the centre of the circle, AE is the diameter and ∠ AOC =
100°. The value of ∠ CDE + ∠ CEA is:

From Exam Date 04/07/2024, Exam Time 9:00 AM - 10:00 AM:

Q.1: In a certain code language, ‘M & N’ means ‘M is the wife of N’, ‘M @ N’ means ‘M is
the brother of N’, ‘M $ N’ means ‘M is the father of N’, ‘M # N’ means ‘M is the son of N’.
Based on the above, how is T related to G if ‘T @ S # M & N $ G’? (Logical
reasoning/blood relations, not direct math).
Q.5: The position of how many letters will remain unchanged if each of the letters in the
word SOUNDBAR is arranged in alphabetical order? (Logical reasoning, not direct
math).
Q.6: (This question is incomplete in the provided text, only the answer options are
visible).
Q.10: If 16 July 2001 is Monday, then what will be the day of the week on 23 December
2006? (Calendar problem)
Q.19: In a certain code language, MOAT’ is coded as ‘8652’ and ‘TRAM’ is coded as
‘4256’. What is the code for ‘R’ in the given code language? (Coding/decoding, often
quantitative reasoning).
Q.20: 529 is related to 23 following a certain logic. Following the same logic, 324 is
related to 18. To which of the following is 625 related following the same logic? (NOTE :
Operations should be performed on the whole numbers, without breaking down the
numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting

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/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then
performing mathematical operations on 1 and 3 is not allowed.)
Q.24: If ‘J’ stands for ‘÷’, ‘V’ stands for ‘×’, ‘K’ stands for ‘+’ and ‘A’ stands for ‘–’, what will
come in place of the question mark (?) in the following equation? 12 J 2 K 17 A 15 V 19
=?
Q.25: Select the set in which the numbers are related in the same way as are the
numbers of the following sets. (NOTE: Operations should be performed on the whole
numbers, without breaking down the numbers into its constituent digits. E.g. 13 –
Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed.
Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3
is not allowed.) (5, 25, 50) (8, 64, 128)
Q.2: A man invested a sum of ₹5,000 on simple interest for 5 years such that the rate of
interest for the first 2 years is 10% per annum, for the next 3 years it is 12% per annum
How much interest (in ₹), will he earn at the end of 5 years?
Q.3: (This question is incomplete in the provided text, only the answer options are
visible).
Q.4: A sells a bike to B at 45% profit. Then B sells it to C at 30% profit. If C pays
₹43,355, then what is the cost price of the bike for A?
Q.5: What is the area of the region created by the two linear equations 2x + y = 6 and 2x
– y = –2 bounded by these lines and the x-axis?
Q.7: A circle of diameter 26 cm has two equal parallel chords of length 10 cm each, then
the distance between the two chords is:
Q.9: Two circles touch each other externally at M. PQ is a direct common tangent to the
two circles, P and Q are points of contact and ∠ MPQ = 38°. ∠ MQP is:
Q.10: (This question is incomplete in the provided text, only the answer options are
visible).
Q.11: (This question is incomplete in the provided text, only the answer options are
visible).
Q.13: Find the remainder when 179 × 172 × 173 is divided by 17.
Q.15: The value of (17 + 15) ÷ 2 – 11 + 16 × 4 – 28 + 13 (−16 + 13) is:
Q.16: The salaries of T in twelve months of a year are: ₹12,000, ₹12,000, ₹12,000,
₹15,000, ₹15,000, ₹15,000, ₹21,000, ₹21,000, ₹21,000, ₹30,000, ₹30,000, ₹30,000. The
average salary of T per month in ₹ is _______.
Q.17: The curved surface area of a right circular cylinder of height 14 cm, is 88 cm 2 .
Find the total surface area of the cylinder.
Q.19: A, B, C are three points such that AB = 11 cm, BC = 13 cm and AC = 24 cm.
Number of circles passing through the points A, B, C is:
Q.21: Two parallel chords of length 8 units each are 6 units away from each other in a
circle. What is the radius of the circle in units?
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Q.22: Ramana spends 75% of his income. His income is increased by 25% and he
increases his expenditure by 10%. By what percentage are his savings increased?
Q.23: (This question is incomplete in the provided text, only the answer options are
visible).
Q.24: The area of a rectangular field is 3600 m 2 . If the field is 45 m long, what is its
perimeter?
Q.25: If the surface area of cuboid is 108 m 2 , then find the height of the cuboid, whose
length is 6 m and breadth is 3 m.

From Exam Date 04/07/2024, Exam Time 2:30 PM - 3:30 PM:

Q.6: In a certain code language, ‘cold summers day’ is written as ‘kl bn ix’ and ‘day and
night’ is written as ‘kj ed bn’. How is ‘day’ written in the given language?
(Coding/decoding, often quantitative reasoning).
Q.7: (This question is incomplete in the provided text, only the answer options are
visible).
Q.8: In a certain code language A + B means ‘A is the son of B’ A – B means ‘A is the
brother of B’ A × B means ‘A is the wife of B’ A ÷ B means ‘A is the father of B’ Based on
the above, how is P related to T if ‘P × Q − R ÷ S + T’? (Logical reasoning/blood
relations, not direct math).
Q.11: If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’, then the
resultant of which of the following will be 59?
Q.15: Select the set in which the numbers are related in the same way as are the
numbers of the following sets. (NOTE: Operations should be performed on the whole
numbers, without breaking down the numbers into its constituent digits. E.g. 13 –
Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed.
Breaking down 13 into 1 and 3 and then performing mathematical operations on 1and 3
is not allowed.) (3, 34, 5) (10, 136, 6)
Q.19: Three of the following four letter-clusters are alike in a certain way and thus form a
group. Which is the one that does NOTbelong to that group? (Note: The odd one out is
not based on the number of consonants/vowels or their position in the letter cluster.) 1)
ADBC 2) JMKL 3) FJHI 4) VYWX (Logical reasoning/pattern recognition, not direct
math).
Q.20: 30 is related to 216 by certain logic. Following the same logic, 40 is related to 226.
To which of the following is 50 related, following the same logic? (NOTE: Operations
should be performed on the whole numbers, without breaking down the numbers into its
constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc.
to 13 can be performed. Breaking down 13 into 1 and 3 and then performing
mathematical operations on 1 and 3 is not allowed.)
Q.25: If 16 September 2010 is Thursday, then what will be the day of the week on 17
August 2017? (Calendar problem)
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Q.1: (This question is incomplete in the provided text, only the answer options are
visible).
Q.2: (This question is incomplete in the provided text, only the answer options are
visible).
Q.3: Express the following as decimals, respectively. 20%,0.5%,0.03%
Q.4: The diameter of a cylinder is 14 cm and its height is 9 cm. Find the total surface
area of the cylinder.
Q.5: (This question is incomplete in the provided text, only the answer options are
visible).
Q.6: A car covers a certain distance in 85 minutes, if it runs at a speed of 36 km/hr. The
speed at which the car must run to reduce the time of journey to 51 minutes will be:
Q.7: (This question is incomplete in the provided text, only the answer options are
visible).
Q.8: Two circles with centres M and N have radii 5 cm and 8 cm, respectively. The
circles touch each other externally at point T. A line PR is drawn such that the points M, T
and N lie on PR, P being closer to M. From P, a tangent PQ = 12 cm is drawn to the
circle with centre M touching at Q, and from R, another tangent RS = 15 cm is drawn to
the circle with centre N touching at S. What is the length (in cm) of PR?
Q.9: (This question is incomplete in the provided text, only the answer options are
visible).
Q.10: Find the third proportion to 36 and 48.
Q.13: The total surface area of a solid hemisphere of diameter 28 cm is:
Q.14: (This question is incomplete in the provided text, only the answer options are
visible).
Q.15: ∆DEF and ∆GHI are two similar triangles. If DE = 64 cm, GH = 24 cm and the
perimeter of ∆GHI is 72 cm, then what is the sum of the lengths (in cm) of the sides EF
and FD of the ∆DEF?
Q.18: The price of pulses has increased by 45%. By what percentage (rounded off to the
nearest integer) the increased price of the pulses should be reduced so that the price of
the pulses remains unaltered?
Q.19: To finish a work in 12 days, 8 workers are engaged. After 2 days, due to some
urgency, the work is to be finished in next 2 days. How many more workers are to be
engaged now to finish it on time?
Q.20: Study the given graph and answer the question that follows. Ratio of imports to
exports from two companies over the years. In how many of the given years were the
imports more than the exports of Company N ?
Q.22: A circle of diameter 26 cm has two equal chords of length 10 cm each, separated
by a distance h cm. What is the value of h?
Q.23: The age of a father will be double the age of his son ten years later. 10 years ago,
the father’s age was six times the age of theby
Generated son. How many
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their ages will be 3 : 2?

Q.24: The given line graph shows the number of scooters manufactured (in thousands)
by companies X and Z, over the years. In which of the following years was the difference
between the production by companies X and Z the maximum among the given years?
Q.25: Rahna decided to buy a scooty that costs ₹40,000. The shopkeeper agreed to sell
the scooty under the condition of ₹25,000 cash down payment of ₹4,000 each month for
four months. Find the rate of interest at which the shopkeeper sold the scooty under the
instalment scheme.

From Exam Date 04/07/2024, Exam Time 5:15 PM - 6:15 PM:

Q.1: In an engineering college, there are four branches namely Computer Science (CS),
Electronics (EC), Civil (CE), and Mechanical (ME). The respective ratio of the number of
students in these branches is 11 : 5 : 6 : 7. What is the percentage of students belonging
to CS and ME branches in the college (correct up to two decimal places)?
Q.2: (This question is incomplete in the provided text, only the answer options are
visible).
Q.3: Riya and Sangeeta can finish a work in 6 days and 8 days, respectively. Riya
started the work alone and then after 3 days, Sangeeta joined Riya. They both finish the
remaining work. How long did the total work last?
Q.5: (This question is incomplete in the provided text, only the answer options are
visible).
Q.6: There are 160 multiple choice questions in a test. 4 marks are allotted for a correct
answer and 1 mark is deducted for a wrong answer or un-attempted question from the
total score of correct answers. If a candidate scored 400 marks in the test, how many
questions did he answer correctly?
Q.7: In an election between two candidates, one got 60% of the total valid votes and
15% of the votes were invalid. If the total number of votes were 8400, the number of
valid votes that the other candidate got were:
Q.9: (This question is incomplete in the provided text, only the answer options are
visible).
Q.10: The distribution of total 1500 students in a school for different games is shown in
the following figure. Study the given figure carefully and answer the question that follows.
Find the total number of students selected for cricket and tennis.
Q.12: ∆ABC~∆EDF and area (∆ABC) : area (∆EDF) = 9 :4. If AB = 5 cm, BC = 8 cm and
CA = 10 cm, then DF is equal to:
Q.13: (This question is incomplete in the provided text, only the answer options are
visible).
Q.14: Study the given bar-graph and answer the question that follows. The bar-graph
shows the production (in lakh) of kitchen appliances manufactured by three companies
A, B, and C over a period of six years from 2012 to 2017. In which year was the
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percentage of rise / fall in production from the previous year the maximum for company
C?
Q.18: (This question is incomplete in the provided text, only the answer options are
visible).
Q.19: (This question is incomplete in the provided text, only the answer options are
visible).
Q.20: Two circles with centre O and A touch each other externally. The radius of the first
circle with centre O is 6 cm. The radius of the second circle with centre A is 3 cm. Find
the length of their common tangent CB (in centimetres).
Q.21: Two parallel chords of length 8 units each are 6 units away from each other in a
circle. What is the radius of the circle in units?
Q.22: When the integer n is divided by 18, the quotient is x and the remainder is 6, When
the integer n is divided by 25, the quotient is y and the remainder is 15. Which of the
following is true?
Q.24: (This question is incomplete in the provided text, only the answer options are
visible).
Q.25: A cylindrical rod of iron whose height is twelve times its radius, is melted and cast
into spherical balls, each of one-third the radius of the cylinder. Find the number of
spherical balls.

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