List of top Questions asked in CAT

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 $x + y$?
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the speed of the train?
The sum of the first $n$ terms of an arithmetic progression is $3n^2 + 2n$. What is the 10th term?
If $x + y = 10$ and $xy = 21$, what is the value of $x^2 + y^2$?
A shopkeeper sells two types of items, A and B, at a profit of 20% and 30%, respectively. If the cost price of A is Rs. 100 and B is Rs. 200, and he sells 3 items of A and 2 items of B, what is the total profit?
If $\log_2 x + \log_4 x = 3$, find $x$.

Three words “Madhu”, “Sweet”, and “House” blink as follows: 
- Each word flashes at regular interval and stays ON for 1 second. 
- "Madhu" every 3.5 s, "Sweet" every 5.25 s, "House" every 6.75 s.
All three flash together at 8:00 a.m. Find time until next flash where last two words ("Sweet" and "House") flash together.

Find the number of positive divisors of 720.

A pie chart shows the percentage distribution of a company's expenses: Salaries (40%), Rent (20%), Utilities (15%), Marketing (15%), Miscellaneous (10%). If total expenses are 1,10,00,000, what is the amount spent on Salaries? 
 

A pie chart shows the percentage distribution of a company's expenses: Salaries (40%), Rent (20%), Utilities (15%), Marketing (15%), Miscellaneous (10%). If total expenses are 110,00,000, what is the combined amount spent on Rent and Utilities? 
 

Using the table, what is the total production of all crops in the South region? 

The table shows the production (in tons) of three crops in four regions. Which region produces the most wheat?