List of top Quantitative Aptitude Questions asked in CAT

After what time will Tez and Gati meet while moving around the circular track? Both start at the same point and at the same time.
I. Tez moves at 5 m/s constant speed; Gati starts at 2 m/s and increases speed by 0.5 m/s every second thereafter.
II. Gati can complete one entire lap in exactly 10 s.
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.
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?
What is the ratio of the volume of the given right circular cone to the one obtained from it?
I. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1:2.
II. The height and base of the new cone are one-third those of the original cone.

In the adjoining figure, points A, B, C and D lie on the circle. $AD = 24$ and $BC = 12$. What is the ratio of the area of $\triangle CBE$ to that of $\triangle ADE$?

Is the number completely divisible by 99?
I. The number is divisible by 9 and 11 simultaneously.
II. If the digits of the number are reversed, the number is divisible by 9 and 11.
What is the cost price of the chair?
I. The chair and the table are sold at profits of 15% and 20% respectively.
II. If the cost price of the chair is increased by 10% and that of the table by 20%, the profit reduces by Rs.\ 20.
A person is walking from Mali to Pali, which lies to its north-east. What is the distance between Mali and Pali?
I. When the person has covered $\frac{1}{3}$ the distance, he is 3 km east and 1 km north of Mali.
II. When the person has covered $\frac{2}{3}$ the distance, he is 6 km east and 2 km north of Mali.
If m and n are integers divisible by 5, which of the following is not necessarily true?
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?
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, 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.
If $n$ is an integer, how many values of $n$ will give an integral value of $\frac{16n^{2} + 7n + 6}{n}$?
What is the value of ma$(10, 4, \text{le}(\text{la}(10, 5, 3), 5, 3))$?
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?
For $x = 15, y = 10, z = 9$, find the value of le$\big(x, \min(y, x-z), \ \text{le}(9, 8, \text{ma}(x, y, z))\big)$.
Fresh grapes contain 90% water while dry grapes contain 20% water. What is the weight of dry grapes obtained from 20 kg fresh grapes?
Given that $x>y>z>0$. Which of the following is necessarily true?
If $\log_{2} \left[ \log_{3} \left( x^{2} - x + 37 \right) \right] = 1$, then what could be the value of $x$?
A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?
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 $x%$.
P and Q are two positive integers such that $PQ = 64$. Which of the following cannot be the value of $P + Q$?

In the given figure, EADF is a rectangle and ABC is a triangle whose vertices lie on the sides of EADF and AE = 22, BE = 6, CF = 16 and BF = 2. Find the length of the line joining the mid-points of the sides AB and BC. 

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.
In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the vice chairman and a director?