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

Anil travelled 300 km by bus and 200 km by taxi. For this, it took him 5 hours and 30 minutes. However if he travels 260 km by bus and 240 km by taxi then he takes 6 minutes more. The speed of the bus is ________km/hour

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

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

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:

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.

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

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

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) = ___ .

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

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:

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?

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.

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:

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?

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.

Given below are two statements :
Statement I: A savings account at Bank A pays 6.2% interest, compounded annually. Bank B's savings account pays 6% compounded semi-annually. Bank B is paying less total interest each year.
Statement II: A sum of money at a certain rate of compound interest doubles in 3 years. In 9 years, it will be P times original principal. Then P = 9.
In the light of the above statements, 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, ...

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?

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

The following table shows the percentage of Cricket players and scored runs by them in three different tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in each tournament. Based on the data in the table; answer-the questions 1-5. Tournament-wise Percentage of Players scoring runs
 

	% Players who scored runs
Tournament	More than 60	More than 40	More than 20
P	25%	35%	80%
Q	25%	30%	60%
R	20%	30%	70%

One pipe can fill a tank three times as fast as another pipe. If the two pipes together can fill the tank in 36 minutes,then the slower pipe will take how much time to fill the tank alone?

A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one afteranother.What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?

If \(\frac{1}{x}\) is a positive fraction and \(\frac{1}{y}\) is a negative fraction, then which of the following statements are true? 
(A) \(\frac{1}{x} + \frac{1}{y}\) is positive 
(B) \(\frac{1}{x} - \frac{1}{y}\) is positive 
(C) \(\frac{x - y}{xy}\) is negative 
(D) \(\frac{1}{xy}\) is positive 
(E) \(\frac{1}{x} - \frac{1}{y}\) is positive