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Quantitative Aptitude
List of top Quantitative Aptitude Questions
An overhead water tank of 7200 m
3
capacity is being filled with water. The delivery of the pump filling the tank is 5/6
th
of the delivery of the pump discharging the same tank. As a result, 24 minutes more is needed to fill the tank than discharge it. Determine the delivery of the pump in filling the tank.
CAT
Quantitative Aptitude
Time and Work
In triangle PQR, PM is perpendicular to QR. If ‘T’ is a point in between ‘Q’ and ‘M’ such that PT =
\(5\sqrt3\)
cm, PM =
\(\sqrt{39}\)
cm then find the value of PQ such that QM : TM = 5 : 2.
CAT
Quantitative Aptitude
Geometry
Siddharth, Nikita, Vinay and Neha individually takes different number of hours to complete a task. If Siddharth, Nikita and Vinay works together then they take 6 hours 40 minutes to complete the task and if Nikita, Vinay and Neha works together then they take 8 hours to complete the task. If Siddharth and Neha working together complete the task in 13 hours 20 minutes, then how much time will all the four persons take to complete the task working together?
CAT
Quantitative Aptitude
Time, Speed and Distance
If 25
(3a-2b)
= 5
(b-a)
= 5
2
and , then find the value of ab - c.
CAT
Quantitative Aptitude
Surface Area of Cube, Cuboid and Cylinder
Eight years hence from now, ratio of ages of ‘A’ and ‘B’ will be 10 : 9, respectively. Present age of ‘B’ is 60% more than age of ‘C’ 8 years ago from now. If ratio of present ages of ‘A’ and ‘C’ is 3:2, respectively then find the present age of ‘C’.
CAT
Quantitative Aptitude
Problem on Age
Four persons ‘P’, ‘Q’, ‘R’ and ‘S’ has different amounts with them. ‘S’ has thrice the amount as that with ‘P’. ‘Q’ has 25% more amount than ‘S’. The amount ‘R’ has is equal to the average amount all four persons have. If the sum of the amounts ‘P’ and ‘R’ have is Rs. 4300, then find the amount ‘R’ have.
CAT
Quantitative Aptitude
Average
In the given figure, AB is the chord of the circle with centre ‘O’. A tangent AT is drawn at point ‘A’ so that angle BAT = 48°, then measure of angle ADB is :
CAT
Quantitative Aptitude
Geometry
Find the HCF of (81
25
-1) and (2
74
-1).
CAT
Quantitative Aptitude
LCM and HCF
Out of 40 members of team A only 60% are selected for the tour and out of 60 members of team B only 40% are selected for the tour. Ratio of male members to female members on the tour is 5:3. Ratio of male members who are selected from team A to female members who are selected from team A is 5:1. Find total number of female members who are selected for tour from team B.
CAT
Quantitative Aptitude
Ratio
In triangle PQR, the straight line parallel to side QR meets PQ and PR at points ‘A’ and ‘B’, respectively. If PA = BR, PQ = 36 cm and PB = 6 cm, then BR = ?
CAT
Quantitative Aptitude
Geometry
If 35% of x% of y=700% of y% of z, find the relation between ‘x’ and ‘z’.
CAT
Quantitative Aptitude
Percentage
X, Y, Z and W can do a certain piece of work in 10, 15, 25 and 30 days respectively. All of them started the work together but X left the job 2 days before the completion of work, Z left the work 1 day before completion of work, W worked with double of his efficiency. Find total time taken by them to complete the work is how much more or less than the total time taken by X alone to complete the work.
CAT
Quantitative Aptitude
Time and Work
Given below are 3 equations I, II and III where 'a' and 'b' are the roots of equation I where (a < b) and 'c' and’d’ are roots of equation II where (c < d). On this basis, solve for equation III and find the relationship between 'z' and 'k' given that k = 11
I. 3x(x - 12) + 72 = x
2
- 11x - 5
II. 5y(y - 3) - 64 = y(3y - 2) – 19
III. (z + 2a - d)
2
= 169
CAT
Quantitative Aptitude
Linear & Quadratic Equations
PQRS is a rhombus such that length of its each side is 30 cm. If PR=36 cm and QS=
\(4\sqrt{x}\)
cm then the length of each side of the rhombus (in terms of ‘x’) is:
CAT
Quantitative Aptitude
Geometry
Boat 'A' takes 60 seconds to cover entire length of the river when travelling with the stream. Had the speed of the stream been double, then the boat would've saved 10 seconds to complete the same journey. Find the time taken by a hat that is floating in the river to cover the same distance, if the stream is flowing at the original speed.
CAT
Quantitative Aptitude
Time, Speed and Distance
The sets \( P_n \) are defined as \( \{ n, n+1, n+2, n+3, n+4, n+5, n+6, n+7, n+8 \} \), where \( n = 1, 2, 3, \ldots, 520 \). How many of these sets contain a multiple of 17?
CAT
Quantitative Aptitude
Number Systems
Let \( y = (1^2) + (2^2) + \cdots + (10000^2) \), what is the remainder when \( y \) is divided by 1152?
CAT
Quantitative Aptitude
Arithmetic
What is the remainder when \( 13^{2013} \) is divided by 100?
CAT
Quantitative Aptitude
Arithmetic
If 150! is converted to base 7, how many consecutive zeros would be there at the end of it?
CAT
Quantitative Aptitude
Number Systems
Find the sum of the digits of \( 100^{100} - 10 \).
CAT
Quantitative Aptitude
Number Systems
All natural numbers that give remainders 1 and 2 when divided by 6 and 5, respectively, are written in ascending order, side by side, from left to right. What is the 99th digit from the left of the number thus formed?
CAT
Quantitative Aptitude
Arithmetic
In a bag there are 100 coins. The coins in the bag are of denomination Rs.1 or Rs.2 or Rs.5. There are at least 10 coins and at most 60 coins of each denomination. Urvashi takes out 40 coins, which consist at least one coin of each denomination from the bag and finds that total worth of coins that she has taken out is Rs.148. The total worth of coins that are still in the bag is Rs.212. Which of the following can be the total number of coins of denomination Rs.1 that are still in the bag?
CAT
Quantitative Aptitude
Arithmetic
In an examination of 12600 students, the ratio of the number of boys to the number of girls is 3:4. The ratio of the number of students who passed the exam to those who failed the exam is in the ratio of 11:3. Among the girls, the ratio of the number of students who passed to those who failed the exam is in ratio 11:4. Find the difference between the number of boys who passed and failed the exam.
CAT
Quantitative Aptitude
Ratio and Proportion
Perimeter of
\(\Delta ABC\)
is 32 m. If AB = BC and altitude BD measures 8 m, find area of triangle ABC.
CAT
Quantitative Aptitude
Mensuration
Solution P contains three liquids A, B, and C in the ratio 2:3:5 respectively. Another solution Q contains A, B, and C in the ratio 5:3:2 respectively. Solutions P and Q are mixed in the ratio 7:3 to obtain another solution R. Now 50% volume of R is replaced with another solution having A and B in the ratio 7:3. The resulting solution is Z. Find the percentage amount of B in solution Z.
CAT
Quantitative Aptitude
Mixtures and Allegations
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