List of top Quantitative Ability and Data Interpretation Questions

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

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, ...

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

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

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

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.

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:

Given below are two statements:
Statement I : The difference between the cost price and sale price of an article is ₹ 240. If the profit is 20%, then the selling price is ₹ 1440. 
Statement II: If the cost price of 10 DVDs is equal to the selling price of 7 DVDs, then the gain percent is \(42\frac{6}{7}\).
In the light of the above statements, choose the most appropriate answer from the options given below:

Let S(n) represents the sum of digits of a natural number n. For example, S(128)=1+2+8=11. What is the value of \(S( 2^6\times3^4\times5^5 )\)?

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

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.

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:

The problem below consists of a question and two statements numbered 1 & 2. You have to decide whether the data provided in the statements are sufficient to answer the question.
In a cricket match, three slip fielders are positioned in a straight line. The distance between the 1st slip and the 2nd slip is the same as the distance between the 2nd slip and the 3rd slip. The player X, who is not on the same line of slip fielders, throws a ball to the 3rd slip and the ball takes 5 seconds to reach the player at the 3rd slip. If he had thrown the ball at the same speed to the 1st slip or to the 2nd slip, it would have taken 3 seconds or 4 seconds, respectively. What is the distance between the 2nd slip and player X?
1. The ball travels at a speed of 3.6 km/hour.
2. The distance between the 1st slip and the 3rd slip is 2 meters.

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?

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:

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?

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.

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:

Write 82x + 3 in the form of 2y and express the relation between x and y.

The price of five different commodities for year 2018 and 2019 are as follows:

The price index number for the year 2019 with 2018 as the base year, using simple average of price relatives is: