List of top Quantitative Aptitude Questions

If \(A=\frac{x^2-y^2}{x^2-y^2}\), \(B=\frac{x+y}{x^2+y^2+xy}\) and \(C=\frac{ 3xy^2-3x^2y}{x^2-y^2}\), then find the value of AB (A+C)
How many factors of N=26 x 38 x 510 x 712 are perfect squares as well as perfect cubes?
What is the number of factors of the number formed by the last three digits of 10051001?
In the questions two columns are given. You are required to solve the equations given in the "equations" column and match them with the correct statement given about the desired equation in the "conditions" column.
Equations  Conditions
(a)2x2 – 11x + 12 = 0 (d)Product of roots is negative
(b)5x2 21x – 20 = 0(e)Product of roots is completely divisible by 6
( c)x2 – 17x + 72 = 0(f)Sum of both roots is positive
The radii of three concentric circles are in the ratio 2: 3: 4. What is the ratio of sum of areas of two inner circles to the area of the region between outermost circle and innermost circle?
‘A’ while working 40% more efficiently can complete a piece of work in 25 days and ‘B’ while working 25% more efficiently can complete the same work in 21 days. While working with their original efficiencies ‘A’ and ‘B’ together worked for 9 days, then find the time taken by ‘A’ alone to complete the remaining work with his original efficiency.
An overhead water tank of 7200 m3 capacity is being filled with water. The delivery of the pump filling the tank is 5/6th 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.
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.
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?
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’.
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.
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 :
AB is the chord of the circle with centre O
If 25(3a-2b) = 5(b-a) = 52 and , then find the value of ab - c.
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.
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 = ?
Find the HCF of (8125-1) and (274-1).
If 35% of x% of y=700% of y% of z, find the relation between ‘x’ and ‘z’.
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.
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 = x2 - 11x - 5
II. 5y(y - 3) - 64 = y(3y - 2) – 19
III. (z + 2a - d)2 = 169
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:
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.
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?
Let \( y = (1^2) + (2^2) + \cdots + (10000^2) \), what is the remainder when \( y \) is divided by 1152?
What is the remainder when \( 13^{2013} \) is divided by 100?
If 150! is converted to base 7, how many consecutive zeros would be there at the end of it?