List of top Questions asked in CAT- 2014

In a class, 60% of students are boys. If 40% of boys and 50% of girls passed an exam, and 48 students passed, how many students are in the class?

A company has 3 departments: HR, IT, and Sales. The number of employees in HR, IT, and Sales are in the ratio 2:3:5. If the total number of employees is 100, how many employees are in the Sales department?

If $x + y = 10$ and $xy = 21$, what is the value of $x^2 + y^2$?

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?

A rectangle MNOQ has $NO$ extended to point R. In $\triangle QPR$:
- $QP = \frac{2x}{3}QM$
- $\angle ORP = 45^\circ$
- $QR = 4\sqrt{17}$ cm
S and T are midpoints of sides QR and PR respectively. If $ST = 6$ units, find the area of rectangle MNOQ.

A bag contains 3 red and 5 black balls. Two balls are drawn at random. What is the probability that both are red?

If $f(x) = x^2 + 2x + 1$, what is $f(3)$?

A sum of money doubles in 5 years at simple interest. In how many years will it become 4 times?

Find the total number of ways in which one can wear three distinct rings on the five fingers of one’s right hand, given that one is allowed to wear more than one ring on a finger.

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?

In how many ways can 40 sweets be given to A, B, C, and D such that:
- B gets at least 3 sweets,
- D gets at least 5 sweets,
- A and C may get zero sweets.

Choose the correct meaning of the idiom: "Bite the bullet."

Choose the word that best completes the sentence: "Her ......... demeanor at the meeting impressed everyone."

Which word is the antonym of "benevolent"?

What is the synonym of "mitigate"?

Choose the antonym of "obscure":

What is the synonym of "prudent"?

Which word is the antonym of "vivid"?

What is the synonym of "tenacious"?

Which word is the antonym of "frugal"?

Choose the word that best completes the sentence: "Her ......... response to the crisis saved the project."

During the formative period, organised labour relied almost solely upon its economic strength, while today it places immeasurable value upon the convincing power of logic, facts and the righteousness of its cause. More and more organised labour is coming to believe that its best interests are promoted through concord rather than by conflict.

Each of the following questions presents four statements, of which three, when placed in appropriate order, would form a contextually complete paragraph. Pick the statement that is not part of that context.