List of top Questions asked in CAT- 2014

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?
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?
Which word best completes the sentence? "The manager’s ......... approach ensured team unity."
Identify the error in the sentence: "Neither of the boys are coming to the party."
Choose the correct sentence:
What is the meaning of "kick the bucket"?
Choose the correct spelling:
What is the tone of the sentence? "His refusal to compromise was admirable, yet frustrating."
Which word best completes the sentence? "The debate was so ......... that it changed public opinion."
Identify the part of speech of the underlined word: "The _quick_ fox escaped danger."
Choose the correct sentence:
What is the meaning of the phrase "let the cat out of the bag"?
The word in the sentence below that is most similar in meaning to "ephemeral" is: "The beauty of the sunset was ephemeral, fading quickly as night approached."
Which sentence is grammatically correct?
What is the tone of the following sentence? "The politician’s decision to ignore the evidence was utterly deplorable."
Choose the correct spelling:
Which word best fits the blank in the sentence? "The scientist’s discovery was a ........._ breakthrough in medical research."
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 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?
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?
In a survey, 60% of people prefer tea, and 40% prefer coffee. If 30% of tea drinkers and 50% of coffee drinkers add sugar, how many people add sugar if 200 people were surveyed?
A bag contains 3 red and 5 black balls. Two balls are drawn at random. What is the probability that both are red?
For an odd positive integer $n$ ($51 \le n \le 99$), the quantity $n^3 - n$ is always divisible by:
A series in which any term is equal to the sum of the preceding two terms is called a Fibonacci series. The first two terms are given initially and determine the series. It is known that the difference of the squares of the ninth and eighth terms of a Fibonacci series is $840$. Find the 12th term of that series.
The numbers $1, 2, \dots, n$ are written in natural order. Numbers in odd places are struck off to form a new sequence. This process is continued until only one number is left. If $n = 1997$, find the last remaining number.