List of top Questions asked in CAT

A man can row 6 km/h in still water. If the river flows at 2 km/h, how long will it take him to row 16 km upstream?
The sum of the first 10 terms of a geometric progression is 1023, and the first term is 1. What is the common ratio?
If $x^2 - 4x + 3 = 0$, what is the value of $x^2 + \frac{1}{x^2}$?
A man buys 10 kg of rice at Rs. 30 per kg and 15 kg of wheat at Rs. 20 per kg. He sells the mixture at Rs. 28 per kg. What is his profit or loss percentage?
A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in 6.5 hours. What is the speed of the boat in still water?
The sum of a two-digit number and the number obtained by reversing its digits is 99. If the digits differ by 3, what is the number?
A man sells an article at a loss of 10%. If he had sold it for Rs. 50 more, he would have gained 5%. What is the cost price?
The sum of the squares of three consecutive integers is 110. What is the smallest integer?
A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are opened together, how long will it take to fill the tank?
The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and the second to the third is 5:8, what is the second number?
If $\sin \theta + \cos \theta = \sqrt{2}$, what is $\sin \theta \cos \theta$?
The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?
If $3x = 4y = 12z$, what is the ratio $x:y:z$?
If $a^2 + b^2 = 25$ and $ab = 12$, what is $(a + b)^2$?
A sum of Rs. 2000 is invested at 10% per annum compound interest. What is the amount after 2 years?
What is the value of $2^{10}$?
A car travels 240 km in 4 hours. What is its speed in km/h?
If $f(x) = x^2 + 2x + 1$, what is $f(3)$?
The cost price of an article is Rs. 400. If it is sold at a profit of 25%, what is the selling price?
A sum of money doubles in 5 years at simple interest. In how many years will it become 4 times?
The ratio of the ages of A and B is 3:4. Five years hence, the ratio will be 4:5. What is the present age of A?
If the roots of the equation $x^2 - 6x + k = 0$ are real and their product is 8, what is the value of $k$?
What is the value of $\log_2 8 + \log_3 9$?
A and B can complete a task in 12 days, B and C in 15 days, and A and C in 20 days. How many days will A alone take to complete the task?
If $2x + 3y = 15$ and $x - y = 1$, what is the value of $x + y$?