List of top Questions asked in CAT- 2012

What does "exacerbate" mean?
Find the incorrect usage of the word “SLAM”.
Find the incorrect usage of the word “STOP”.
Find the incorrect usage of the word “TIME”.
Find the incorrect usage of the word “SOMBRE”.
Find the incorrect usage of the word “CALL”.
Letters of the word “ATTRACT” are written on cards and kept on a table. Manish lifts three cards at a time, writes all possible combinations of the three letters on a piece of paper, and then replaces the cards. He is to strike out all the words which look the same when seen in a mirror. How many words is he left with?

What is the sum of the series $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots$? 
 

If $\log_2 (x) + \log_4 (x) = 5$, what is $x$? 
 

In the figure below, \( \angle MON = \angle MPO = \angle NQO = 90^\circ \), \( OQ \) is the bisector of \( \angle MON \), and \( QN = 10 \), \( OR = 40/\sqrt{7} \). Find \( OP \).
A pie chart shows expenses: Salaries (50%), Rent (30%), Utilities (20%). If Salaries are Rs. 25,000, what is the total expense?
If the roots of the equation \[ (a^2 + b^2)x^2 + 2(b^2 + c^2)x + (b^2 + c^2) = 0 \] are real, which of the following must hold true?

What is the value of $\sqrt{50 + \sqrt{50 + \sqrt{50 + \ldots}}}$? 
 

A number when divided by 7 leaves a remainder of 4. What is the remainder when its square is divided by 7? 
 

In how many ways can 6 people be seated around a circular table? 
 

A car travels at 60 km/h for half the distance and 80 km/h for the other half. What is the average speed for the entire journey? 
 

Arrange the sentences:
A. Technology drives progress.
B. It creates new opportunities.
C. Challenges arise from misuse.
D. Responsible use is essential.
What is the synonym of "resilient"?
The manager's decision was ___.
Choose the correct sentence:
Identify the error: "Every employee have completed their task."
Choose the correct sentence:
Identify the error: "She has less books than me."
Choose the correct sentence:
Identify the error: "The committee have decided to proceed."