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

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?

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 : A bag captains 10 white and 10 red face masks which are all mixed up. The fewest number of face masks you can take from a bag without looking and be sure to get a pair of the same color is 3. 
Statement II: The minimum number of students needed in a class to guarantee that there are at least 6 students whose birthdays fall in the same month, is 61. In the light of the above statements, choose the most appropriate answer from the option given below:

Given below are two statements:
Statement I: \((243)^{0.16} ×(9)^{0.1}=0.3\)
Statement II: If , \(3.105 ×10^P=0.00239+0.000715,\) then \(P=-3.\)
In the light of the above statements choose the most appropriate 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.

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, ...

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

In the following diagram, if the shaded area is one half the area of triangle ABC and angle ABC is right angle then the length of line segment AD is

Given below are two statements:
Statement I : If the roots of a quadratic equation are 2 and 3, then the equation is \(x^2-5x-6=0.\)
Statement II: If the roots of \(4x^2+3kx+9=0\) are real and distinct, then \(k≤-4\) or \(k≥4.\)
In the light of the above statements, choose the most appropriate answer from the options given below:

If M, A and T ate distinct positive integers such that M A T = 1947, then which of the following is the maximum possible value of M + A + T?

A and B started a business with investment of ₹ 4500 and ₹ 2700 respectively.Find the share of profit of A in the total annual profit of ₹ 256.

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is ₹6500.What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years

Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17.What is the average of a, b, c, d, e and f?

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

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

Which of the following statements are true?
A. If  \(x : y = 3 : 1\) then \(x ^3 − y ^3 = \frac{10}{11}\)
B. If \(x=y+12,x:y=3:2\) and \(z:y=1:3\),then \(z+x=44\)
C. If \(3x=8y\) and \(5y=9z\),then \(\frac{x}{z}=\frac{72}{15}\)
Choose the most appropriate 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?

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%

A copper wire having length of 243m and diameter 4 mm was melted to form a sphere. Find the diameter of the sphere:

In a local election between two candidates, one candidate got 55% of the total valid votes and was declared as winner.15% of the votes were invalid. If the total number of votes polled were 15200, what were the valid votes of the loser :

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 30 km/hr, it is late by 36 minutes. The total distance travelled by train is