List of top Quantitative Ability and Data Interpretation Questions asked in CMAT

A certain amount of money at compound interest grows to 66,550 in 3 years and 73,205 in 4 years. The rate percent per annum is:

A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed. The water level in the vessel will rise by:

If abc > 0, such that a,b,c are integers then which of the following must be true?

Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.

A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss percentage?

A train travelling at 48 km/h completely crosses another train having half the length of first train and travelling in opposite direction at 42 km/h in 12 seconds. The train having speed 48 km/h also passes a railway platform in 45 seconds. What is the length of the platform?

Match List-l with List-ll

List I		List II
A.	Duplicate of ratio 2: 7	I.	25:30
B.	Compound ratio of 2: 7, 5:3 and 4:7	II.	4:49
C.	Ratio of 2: 7 is same as	III.	40:147
D.	Ratio of 5: 6 is same as	IV.	4:14

Choose the correct answer from the options given below:

A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar
(A)Probability of getting a yellow marble is \(\frac{1}{5}\)
(B) Probability of getting a green marble is \(\frac{3}{10}\)
(C) Probability of getting either a yellow or a green marble is \(\frac{7}{10}\)
(D) Probability of getting either a red or a yellow marble is \(\frac{3}{10}\)
Choose the correct answer from the options given below:

(A) If \(\frac{1}{x}:\frac{1}{y}:\frac{1}{z}\) =2: 3: 5, then x:y:z = 15:10: 6
(B) If 4p = 6q = 9r then p:q:r = :9:6:4
(C) If 2A = 3B = 4C then A:B:C = 3:4:6
(D) P:Q:R = 2:3:4 then \(\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}\)=9:8:24
Choose the correct answer from the options given below:

Given below are two statements:
Statement I: In order to get a mixture worth 16-5/kg, a grocer needs to mix two varieties of pulses costing 15 and 20 per kg respectively in the ratio 7:3.
Statement II: A merchant has 1000 kg rice, part of which he sells at 8% profit and the rest at 16% profit. He gains 14% on the whole. The quantity of rice sold at 16% profit is 750 kg.
In the light of the above statements, choose the correct answer from the option given below:

If the digit in the unit's place of a two-digit number is halved and the digit in ten's place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?

Arrange the following in increasing order:
1. 4√3
2. 3√2
3. 6√5
4. 6√7
Choose the correct answer from the options given below:

There are 240 students in an engineering college. Each student opted for exactly one of three specialisations among Computer Science, Mechanical and Electronics. The total number of students who opted for Computer Science and Electronics is equal to the number of students who opted for Mechanical. 42-5% students who opted for Mechanical are girls. The number of girls who opted for Computer Science is one-third the number of boys who opted for Mechanical. The difference between the number of boys who opted for Electronics and the number of girls who opted for Computer Science is equal to the difference between the number of boys who opted for Computer Science and the number of girls who opted for Electronics. The number of girls who opted for Electronics is 28.

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:

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:

If the selling price of 320 Web Cameras is equal to the cost price of 400 Web Cameras, then the percentage profit is :

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?

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

The cost of the three components A, B and C of an electronic machine worth ₹12,000 in 2020 is given as a Pie-chart as shown below :

In the following year, the cost of these three components A, B, and C increased by 10%, 20%, and 10% respectively. The cost of the three components A, B, and C respectively in 2021, was

Consider the following figure that shows the graph of the function F defined by \(F(x) = | 2x | + 4\) for all numbers x:

For which of the following functions G defined for all numbers x does the graph of G intersect the graph of F?

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

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) = ___ .

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?