List of top Quantitative Aptitude Questions asked in CAT

Two positive integers differ by 4 and sum of their reciprocals is $\frac{10}{21}$. Then one of the numbers is
A stockist wants to make some profit by selling sugar. He contemplates about various methods. Which of the following would maximise his profit? I. Sell sugar at 10% profit.
II. Use 900 g of weight instead of 1 kg.
III. Mix 10% impurities in sugar and selling sugar at cost price.
IV. Increase the price by 5% and reduce weights by 5%.
The rate of inflation was 1000%. Then what will be the cost of an article, which costs 6 units of currency now, 2 years from now?
Three bells chime at an interval of 18 min, 24 min and 32 min. At a certain time they begin to chime together. What length of time will elapse before they chime together again?
The length of a ladder is exactly equal to the height of the wall it is leaning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
The sides of a triangle are 5, 12 and 13 units. A rectangle is constructed, which is equal in area to the triangle, and has a width of 10 units. Then the perimeter of the rectangle is
I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
One root of $x^2 + kx - 8 = 0$ is square of the other. Then the value of $k$ is
If a 4 digit number is formed with digits 1, 2, 3 and 5. What is the probability that the number is divisible by 25, if repetition of digits is not allowed?
Two typists undertake to do a jo(b) The second typist begins working one hour after the first. Three hours after the first typist has begun working, there is still $\frac{9}{20}$ of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually?
A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?
Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2, then the third number is:
$\frac{2}{5}$ of the voters promise to vote for P and the rest promised to vote for Q. Of these, on the last day 15% of the voters went back on their promise to vote for P and 25% of voters went back on their promise to vote for Q, and P lost by 2 votes. Then the total number of voters is:
A man invests Rs.\ 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?
Boxes numbered 1, 2, 3, 4, and 5 are kept in a row, and each is to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then how many different arrangements are possible so that balls of a given colour are exactly identical in all respects?
The remainder obtained when a prime number greater than 6 is divided by 6 is:
For the product $n(n+1)(2n+1)$, $n \in \mathbb{N}$, which one of the following is not necessarily true?
The value of $\frac{55^3 + 45^3}{55^2 - 55 \times 45 + 45^2}$ is:
A person has a certain amount with him and goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance he purchases oranges. Number of oranges he can purchase is:
72 hens cost Rs.\ ____ 96.7____. Then what does each hen cost, where two digits in place of ‘____’ are not visible or are written in illegible hand?
Which one of the following cannot be the ratio of angles in a right-angled triangle?
$5^6 - 1$ is divisible by:
Ram purchased a flat at Rs. $1$ lakh and Prem purchased a plot of land worth Rs. $1.1$ lakh. The respective annual rates at which the prices of the flat and the plot increased were $10%$ and $5%$. After two years they exchanged their belongings and one paid the other the difference. Then:
Minimum value of \( K \) for which \( x + y + z = K \), \( x<y<z \) does NOT uniquely determine the triplet?