List of top Quantitative Aptitude Questions asked in CAT

If X had started the return journey from India at 2.55 a.m. on the same day that he reached there, after how much time would he reach Frankfurt?

What is X's average speed for the entire journey (to and fro)?

What is the value of $a^3 + b^3$?
I. $a^2 + b^2 = 22$
II. $ab = 3$

Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja?

Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?

If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India?

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?

In $\triangle ABC$, points P, Q and R are the mid-points of sides AB, BC and CA respectively. If area of $\triangle ABC$ is 20 sq. units, find the area of $\triangle PQR$.

The value of each of a set of coins varies as the square of its diameter if its thickness remains constant, and it varies as the thickness if the diameter remains constant. If the diameter of two coins are in the ratio $4 : 3$, what should be the ratio of their thickness if the value of the first is four times that of the second?

A, B and C are defined as follows: $A = \frac{2.000004}{\sqrt{(2.000004)^2 + (4.000008)^2}}$
$B = \frac{3.000003}{\sqrt{(3.000003)^2 + (9.000009)^2}}$
$C = \frac{4.000002}{\sqrt{(4.000002)^2 + (8.000004)^2}}$
Which of the following is true about the values of the above three expressions?

Given that $x>y>z>0$. Which of the following is necessarily true?

What is the value of ma$(10, 4, \text{le}(\text{la}(10, 5, 3), 5, 3))$?

For $x = 15, y = 10, z = 9$, find the value of le$\big(x, \min(y, x-z), \ \text{le}(9, 8, \text{ma}(x, y, z))\big)$.

P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R.

ABC is a three-digit number in which A $>$ 0. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B?

A man earns $x%$ on the first Rs. 2{,}000 and $y%$ on the rest of his income. If he earns Rs. 700 from income of Rs. 4{,}000 and Rs. 900 from Rs. 5{,}000, find $x%$.

If m and n are integers divisible by 5, which of the following is not necessarily true?

Which of the following is true?

If the roots $x_1$ and $x_2$ of the quadratic equation $x^2 - 2x + c = 0$ also satisfy the equation $7x_2 - 4x_1 = 47$, then which of the following is true?

An express train travelling at 80 km/hr overtakes a goods train, twice as long and going at 40 km/hr on a parallel track, in 54 s. How long will the express train take to cross a platform of 400 m long?

A student instead of finding the value of $\frac{7}{8}$ of a number, found the value of $\frac{7}{18}$ of the number. If his answer differed from the actual one by 770, find the number.

The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

P and Q are two positive integers such that $PQ = 64$. Which of the following cannot be the value of $P + Q$?

The sum of the areas of two circles, which touch each other externally, is $153\pi$. If the sum of their radii is 15, find the ratio of the larger to the smaller radius.

If $\log_{2} \left[ \log_{3} \left( x^{2} - x + 37 \right) \right] = 1$, then what could be the value of $x$?