List of top Data Interpretation Questions

A school has 2000 students, of which 40% of the students are in higher secondary. Out of the students in higher secondary 28% are girls of which 50% of them passed in an examination. How many boys from higher secondary have passed the examination?
Statement 1: The ratio between number of girls passed and number of boys passed in the school is 3:7
Statement 2: The overall pass percentage in the higher secondary is 40%

What is the value of xyz?
Statement 1: x_a = y^b = z^c and ab + bc + ca 0 where a, b and c are non-zero integers
Statement 2: a^x = b, b^y = c, c^z = a where a, b and c are non-zero integers

In Δ ABC, AB = 2 cm and BC = 4 cm. What is the length of the AC?
Statement 1: The three sides of the triangle are in geometric progression
Statement 2: ∠ABC = 30°

a, b and c are three positive integers. What is the value of (a² + b²+c²)?
Statement 1: a²+b²=17 and c is the arithmetic mean of a and b
Statement 2: The geometric mean of a and b is 2

A tank is filled with certain amount of water upto its top edge. Is the volume of tank greater than 514 m³?
Statement 1: The amount of water in the tank is 1000 litres
Statement 2: The outer surface of tank is in the form of a cube of length 10 m

A family consists of 6 members P, Q, R, S, T and U. How is P related to R?
Statement 1: U and T have two children R and S. Q is the spouse of R and P is the uncle of S
Statement 2: R and Q have a daughter S. S is married to U, who is the son of P and T

A, B, C, D who are married to P, Q, R, S are sitting opposite to each other. No one is sitting in front of his or her spouse. Who is sitting opposite to B?
Statement 1: A and C are married to Q and S respectively and R is sitting opposite to the only person between B and D
Statement 2: C, B and P are sitting in corners. Q is sitting opposite to the only person between C and A

The average weight of Abhi and Deeru is 40 kg. What is the average weight of Abhi, Banu, Chaitu and Deeru?
Statement 1: Average weight of Abhi, Banu and Chaitu is 45 kg
Statement 2: Average weight of Banu, Chaitu and Deeru is 40 kg

a, b and c are three numbers selected from a set containing ten numbers 0 to 9. Is (a + b + c) a multiple of 9?
Statement 1: Three digit number abc is a multiple of 9
Statement 2: (a x b) + c is a multiple of 9

A bag contains 15 balls of the same size. Each ball is of a single colour, white, red or blue. How many red balls are there in the bag?
Statement 1: The probability of drawing a red ball is the same as that of drawing a blue ball
Statement 2: The probability of randomly drawing a white ball from the bag is 20%

‘a’ is a positive integer. What is the tens digit of a?
Statement 1: When a is divided by 100, leaves a remainder 20
Statement 2: When a is divided by 105, leaves a remainder 20

Two trains are travelling on two adjacent tracks. What would be their respective speeds?
Statement 1: The relative speed when the trains are travelling in the same direction is 30 kmph
Statement 2: The relative speed when the trains are travelling in the opposite direction is 90 kmph
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer :

a, b and c are three positive integers. What is the value of (a²+b²+c²) ?
Statement 1: a²+b²=17 and c is the arithmetic mean of a and b 
Statement 2: The geometric mean of a and b is 2
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer :

A right circular cone (PQR) is cut into two parts, cone (C) and frustum (F) by a plane parallel to base.
What is the ratio of volume of C to the volume of F?
Statement 1: PQR is twice the radius of C
Statement 2: PQR is been cut off at the middle of its height
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer

A certain bottle can hold a maximum of how many litres of liquid?
Statement 1: The bottle currently contains 9 litres of liquid
Statement 2: If a litre of liquid is added to the bottle when it is half full of liquid, the amount of liquid in the bottle will increase by \(\frac{1}{3}\)

If the length of a rectangle is increased by 5 cm and the breadth is decreased by 5 cm, area of the rectangle remained same. What are the dimensions of the given rectangle?
Statement 1: If the length is decreased by 12 cm and the breadth increased by 8 cm, even then the area is unaltered
Statement 2: Breadth of the rectangle is 4 less than twice its length
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer

A fruit vendor sells mangoes and bananas and gets equal revenue from each. He gets a profit of 20% on each mango and a profit of 25% on each banana. What is the ratio of the cost price of a banana to that of a mango?
Statement 1: The ratio of number of bananas sold to number of mangoes sold is 4 : 1
Statement 2: If x be the revenue from each of mangoes and bananas then cost of each mango is \((\frac{5x}{6})\) and banana is \((\frac{4x}{5})\)

Teams A, B, C, D and E play a certain number of matches in a tournament. Three points are awarded for a win, 1 point for a tie and 0 for a loss. At the end of the tournament, team B acquired 12 points, team C acquired 6 points, team D acquired 3 points and team E zero points. How many points does A win?
Statement 1: The points won by A is 9 more than the points won by B in his victories
Statement 2: The total number of matches played by B is 5
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer

What is the unit's digit of the number (8pqr)⁶⁴ where p, q and r are the hundredth, tenth and units digits of the number?
Statement 1: The product of p and q is 12
Statement 2: The product of q and r is 24 and r is greater than 4\

Are ΔABC and ΔPQR congruent?
Statement 1: The triangles are right-angled triangles
Statement 2: The base and heights of two triangles are equal

A pipe can fill a tank in 6 hours, while a leak not at the bottom of the tank can empty upto it in 3 hours. If both are operated simultaneously and initially the tank is full, when the tank will be full upto the height of the leak?
Statement 1: The leak is developed at a one-third height of the tank
Statement 2: The leak takes 3 hours to empty the tank upto its height

A survey on games played by 400 college students, it is found that 15% play Hockey, 25% play football, 30% play cricket, 15% basketball and 15% tennis. What is the ratio of the minimum number of students from college A who play basketball to the number of students from college A who play football?
Statement 1: Students from college A comprise 20% of total students surveyed
Statement 2: 15% of the total students who play basketball and football are from college A

If 'a' and 'b' are integers, is \((\frac{a}{6}+\frac{b}{5})\) an integer?
Statement 1: 'a' is divisible by 5 and 'b' is divisible by 6
Statement 2: 'a' is multiple of 6 which is one-tenth the value of 'b'

What is today's date?
Statement 1: Three days before it was Friday
Statement 2: One week before it was the first Tuesday in April 2007

Akash purchased a pair of jeans. What is its marked price?
Statement 1: After giving a discount of 15% on marked price, the shopkeeper earns a profit of 10%
Statement 2: The shopkeeper gets every pair of jeans from the market outlet for ` 600