List of top Questions asked in CAT- 2012

What is the probability that a leap year has 53 Sundays? 
 

If \( \log_x(a - b) - \log_x(a + b) = \log_x\left(\frac{b}{a}\right) \), find \( \frac{a^2 + b^2}{b^2 + a^2} \)

A boat travels 24 km upstream in 6 hours and 30 km downstream in 5 hours. What is the speed of the boat in still water? 
 

In a class, 40 students take Math, 30 take Science, 20 take both. How many students are in the class?
In a survey, 80% like Product X, 70% like Product Y, 60% like both. What percentage like neither?
In a group of 6 people, 3 are selected for a team. How many ways can the team be formed?
Three brothers (A, B, C) divide 12 chocolates. A gets twice as many as B, and B gets twice as many as C. How many does A get?

If $x^2 + y^2 = 25$ and $xy = 12$, what is $x + y$? 
 

Which word is most nearly the same in meaning as "ephemeral"?
The sentence "His decision was based on principle" is best replaced by:
What is the antonym of "ameliorate"?
Fill in the blank: The speaker's ___ tone captivated the audience.
The word "ubiquitous" means:
What does "mitigate" mean in the sentence: "Steps were taken to mitigate the crisis"?
Choose the correct word: The policy had a ___ effect on growth.
What is the meaning of "pragmatic"?
The politician's speech was described as ___.
What is the synonym of "obfuscate"?
What is the meaning of "cognizant"?
The company's ___ approach led to success.
What is the antonym of "tenuous"?
What does "ameliorate" mean in: "The new policy will ameliorate conditions"?
What is the synonym of "disparate"?
The decision was ___ by the committee.
What is the antonym of "prolific"?