List of top Questions asked in CAT- 2016

The area of a rectangle is 63 cm², and its perimeter is 32 cm. What is the length of the rectangle?
A wooden box (open at the top) of thickness 0.5 cm, length 21 cm, width 11 cm, and height 6 cm is painted on the inside. The expenses of painting are Rs. 70. What is the rate of painting per square centimetre?
The points of intersection of three lines \(2X + 3Y - 5 = 0\), \(5X - 7Y + 2 = 0\) and \(9X - 5Y - 4 = 0\).
In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hours 18 minutes and 15 seconds of watch time. What is the time gained or lost by this watch in one day?
In a mile race, Akshay can be given a start of 128 m by Bhairav. If Bhairav can give Chinmay a start of 4 m in a 100 m dash, then who out of Akshay and Chinmay will win a race of one and half miles, and what will be the final lead given by the winner to the loser? (One mile is 1,600 m.)
A man travels three-fifths of a distance AB at a speed 3a, and the remaining at a speed 2b. If he goes from B to A and returns at a speed 5c in the same time, then:
A and B run a 1 km race. If A gives B a start of 50 m and still beats him by 15 seconds, and if A gives B a start of 70 m and beats him by 10 seconds, find the time taken by A to run 1 km.
In a triangle ABC, the lengths of the sides AB and AC are 17.5 cm and 9 cm respectively. Let D be a point on AB such that AD = 7 cm. What is the length of CD?
A cube of side 4 cm is painted on all its faces. If it is sliced into 1 cm cubes, how many 1 cm cubes will have exactly one face painted?
What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?
If n is any odd number greater than 1, then $n^2 - 1$ is
A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54. What is the actual price per piece?
A man invests Rs. 10,000 at 5% per annum compound interest for 3 years. What is the amount he receives at the end of 3 years?
There are 12 towns grouped into four zones with three towns per zone. It is intended to connect the towns with telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required?
In how many ways can 5 different books be arranged on a shelf if two particular books must be together?
Once I had been to the post office to buy five-rupee, two-rupee and one-rupee stamps. I paid the clerk Rs. 20, and since he had no change, he gave me three more one-rupee stamps. If the number of stamps of each type that I had ordered initially was more than one, what was the total number of stamps that I bought?
In a class of 50 students, 23 speak English, 15 speak Hindi, and 18 speak Tamil. 8 speak both English and Hindi, 11 speak both Hindi and Tamil, 6 speak both English and Tamil, and 5 speak all three languages. How many students speak exactly two languages?
In a locality, two-thirds of the people have cable TV, one-fifth have VCR, and one-tenth have both. What is the fraction of people having either cable-TV or VCR?
If the roots of the equation \( x^2 - 2px + p^2 - 1 = 0 \) are real and distinct, what is the range of \( p \)?
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. What are their current ages?
In a code, if APPLE is coded as BQQMF, how is BANANA coded?
The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?
The figure shows a circle of diameter AB and radius 6.5 cm. If chord CA is 5 cm long, find the area of triangle ∆ABC.
circle
In a family of six members—P, Q, R, S, T, and U—there are three males and three females. P is married to Q, and they have two daughters, S and T. R is the only son of P. U is the mother-in-law of Q. Who is the father-in-law of Q?
Four friends—A, B, C, D—are seated around a circular table. A is to the left of (b) C is opposite (d) Who is to the immediate right of A?