List of top Questions asked in CMAT

What is the 95th term of the following letter series?
A, A, B, B, B, B, C, C, C, C, C, C, D, D, D, D, D, D, D, D, E, ...

A certain sum of money earns a simple interest of ₹ 800 over 2-year period. The same sum of money invested at the same rate of interest and same period on a compound interest basis earns an interest of ₹ 900. What is the sum?

If \(x > 0\), then which of the following expressions are equal to 3.6% of \(\frac{5x}{12}\) ? 
A. 3 percent of 20x 
B. x percent of \(\frac{3}{2}\)
C. 3x percent of 0.2 
D. 0.05 percent of 3x
E. \(\frac{3x}{200}\)
Choose the correct answer from the options given below:

Given below are two statements:
Statement I: Ravi walks from his house at a speed of 5 km per hour and reaches the college 10 minutes late. If he increases the speed by 1 km per hour next day, he reaches the college 4 minutes earlier than the scheduled time. If the college is P km far from his house, then P = 7.5 km.
Statement II: Amit runs \(2\frac{1}{3}\) times as fast as Babita. If Amit gives Babita a start of 80 meters, then the winning post must be 140 meters far so that Amit and Babita might reach it at the same time.
In the light of the above statements, choose the correct answer from the options given below.

Let a, b and c be the ages of three persons P, Q and R respectively where \(a≤b≤c\) are natural numbers. If the average age of P, Q, R is 32 years and if the age of Q is exactly 6 years more than that of P, then what is the minimum possible value of c?

Given below are two statements :
A number of distinct 8-letter words are possible using the letters of the word SYLLABUS. If a word in chosen at random, then
Statement I: The probability that the word contains the two S's together is \(\frac{1}{4}.\)
Statement II : The probability that the word begins and ends with L is \(\frac{1}{28}.\)
In the light of the above statements, choose the correct answer from the options given below.

What is the probability of getting a sum of 22 or more when four dice are thrown?

A train running at 18 km per hour crosses a mark on the platform in 9 seconds and takes 25 seconds to cross the platform. If P is the length of the train and Q is the length of the platform in meters, then (P, Q) = ___ .

Three pipes P, Q and R can fill a tank in 6 hours. After working at it together for 2 hours, R is closed and both P and Q can fill the remaining part in 7 hours. The number of hours that will be taken by R alone to fill the tank is

What is the area of an equilateral triangle whose inscribed circle has radius R?

The number of all integers n for which n2+36 is a perfect square, is

Given below are two statements :
Statement I: The number of ways to pack six copies of the same book into four identical boxes where a box can contain as many as six books, is 9.
Statement II: The minimum number of students needed in a class to guarantee that there are at least six students whose birthday fall in the same month, is 61 . In the light of the above statements, choose the correct answer from the options given below

Given below are two statements :
Statement I: The ratio of the son's age to the father's age is 1 : 5. The product of their ages is 245. The ratio of the son's age to the father's age after 9 years will be 3 : 5.
Statement II: A milkman adds 30 litres of water to 70 litres of milk. After selling 1/5th of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be 28 : 72. In the light of the above statements, choose the correct answer from the options given below.

If \(x - \frac{1}{x} = y, y-\frac{1}{y} = z, z-\frac{1}{z} = x\), there which of the following equations are true ?
A. \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0\)
B. \(\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}=8\)
C. \(\frac{1}{xy}+\frac{1}{yz}+\frac{1}{zx}=-3\)
Choose the correct answer from the options given below:

If \(5^a\) = \(9^b\) = 2025, then the value of \(\frac{ab}{a+b}\)= ____.

Arrange the following numbers in increasing order : 
A. \(\sqrt{59} - \sqrt{51}\)
B. \(\sqrt{37} - \sqrt{29}\)
C. \(\sqrt{87} - \sqrt{79}\)
D. \(\sqrt{79} - \sqrt{71}\)
Choose the correct answer from the options given below:

Identify odd group of letters: CE, IK, SV, FH, UW

Select the pair which has same type of relationship like Barometer : Pressure

The question consists of a statement, followed by two arguments numbered I and II. You have to decide which of the argument is a 'strong' argument and which is a 'weak' argument.
Statement
Arguments I : Women should be allowed to go out alone.
Arguments II : Yes. It would make them independent and safe.
Arguments III : No. They are under the protection of their male affines and they should be with them always A. Only argument I is strong
B. Only argument II is strong
C. Both arguments I and II are strong
D. Both arguments I and II are weak
Choose the most appropriate answer from the options given below :

One statement and two assumptions for the statement are given. Read the statement, think about the assumptions and mark the correct option which is implicit in the statement.
Statement I : Some people believe in the existence of god.
Arguments II : Not everything in this world is created by humans.
Arguments III : Human beings are imperfect.
A. Only argument I is implicit
B. Only argument II is implicit
C. Both arguments I and II are implicit
D. Neither I nor II are implicit
Choose the most appropriate answer from the options given below :

A statement below is followed by two conclusions I and II. Assuming that everything in the statement is correct, consider the two conclusions together and decide which of them follows beyond reasonable doubt, from the information given in the statement.
Statement I : In a one day match, total runs made by a team were 200. Out of which 160 runs were made by the spinners.
Conclusions I : 80% of the team consists of spinners
Conclusions II : The opening batsmen were spinners

Abhishek, Bineeta, Manisha, Hari, Vaishali, and Gaurav are sitting around a circular table not necessarily in the same order. Some of them are facing the centre and the remaining are facing away from the centre.
(i) Gaurav sits immediate left of Bineeta
(ii) Only Abhishek and Bineeta face away from the centre
(iii) Vishali and Hari are sitting next to each other
(iv) There are two people between Hari and Gaurav
(v) Abhishek is the neighbour of both Manisha and Guarav
If Hari and Abhishek interchange their places (having same facing direction) then who among the following sits to the immediate left of Abhishek?

A \(3\times 3\) matrix is filled with the numbers from 31 to 39 according to the following rules : 
(a) 38 is above 39 and to the right of 32 
(b) 33 is to the right of 37 and above 39 which is to the left of 34 
(c) 32 is to the left of 35 
(d) 37 is above 36 and 32 
(e) 31 is above 35 'Above' and 'below' mean that they are in the same column while 'left' and 'right' mean that the numbers are in the same row. 
What is the sum of the numbers in the middle row?

Find the odd one among the following :

Two statements are given below, there may be cause and effect relationship between the two statements. These may be the result of same cause or independent cause. Read both the statements and mark the answer :
Statement I : There is an increase in the water level of all the water tanks supplying drinking water to the city in the last fortnight.
Statement II : Most of the trains were cancelled due to waterlogging on the tracks.