List of top Data Interpretation Questions on Statements and Inferences

Is xy negative?
Statement 1: (x + y)² < (x-y)²
Statement 2: (x - y) is positive

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°

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

What was A's score in fourth aptitude test?
Statement 1: A's score in the fourth test was 12 points higher than the average score in the first three tests written
Statement 2: A's score on the fourth test raise the average test score from 80 to 85

A, B, C, D, E and F are six whole numbers. Is "ABCDEF" divisible by 132?
Statement 1: The last four digits of the given number has a factor 4 and A+ C+E = 12(B + D + F)
Statement 2: Sum of all the digits of the given number is divisible by 24

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'

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

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

Which has the greater length, AB or CD?
Statement 1: CD is the diameter of the circle.
Statement 2: AB is the length of the side of square inscribed in a circle whose radius is half of CD.

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\

In the figure below, what is the area of the smaller circle?

Statement 1: The two larger circles have same radii of 8 cm each and O'O'' is 12 cm
Statement 2: The centres O, O' and O" of the three circles are collinear

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

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

Seven friends A, B, C, D, E, F and G go for a movie. Out of these, AD, FC and BG are couples of which A, F and B are males. The couples sit with husbands and wives in the left to right order. Who sat at the two corners?
Statement 1: E sits at the centre with D sitting 2 places to the left of E
Statement 2: B does not sit at the corner and nor does G
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

P, Q, R, S, T and U are to be arranged in a circular table. Q does not sit opposite T. S and R are together. What is the sequence of their seating in clockwise direction?
Statement 1: R sits to the left of P
Statement 2: T does not want to sit near U
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 ship was moving towards lighthouse on the shore with uniform speed. A man standing on the lighthouse observes the ship. Eight minutes later, he finds that the angle of depression was 45°. In how much time does the ship reach the lighthouse?
Statement 1: Initially, the man standing on the lighthouse observes the ship at an angle of depression of 30°
Statement 2: The speed of the ship was 6 km/h and the height of the lighthouse is 300 m
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

Ritu, Deep, Lakshya, Krish, Suja, Adi and Anu are seven friends and belong to the same family. Ritu has a son and a daughter. Krish and Deep are males. Suja and Lakshya are females. What is the relationship between Suja and Adi?
Statement 1: Ritu has a grandson and a granddaughter and Anu is krish’s niece
Statement 2: Suja is Lakshya’s sister-in-law and Deep has two children Adi and Anu
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
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

In the figure below, what is the area of the smaller circle?

Statement 1: The two larger circles have same radii of 8 cm each and O'O" is 12 cm
Statement 2: The centres O, O' and O" of the three circles are collinear
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, 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 person wants to purchase 1,000 pieces of article A and 800 pieces of article B. There is an offer price on these two articles that for every purchase of 4 pieces of article B, 1 piece of article A is given free. What percentage of amount should he spend on article A to fulfill his requirement?
Statement 1: Ratio of price of article A to article B is 3 : 5
Statement 2: Price of article A is one fourth of the price of article B
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 family has four members W, X, Y and Z. How is Y related to X?
Statement 1: Z is the sister of X and daughter of Y
Statement 2: W is the father of Y and Y is the mother of Z, who is the brother of X
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 ∈ Z. Is A divisible by 45?
Statement 1: The number is divisible by 15 
Statement 2: The number is divisible by 315
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 :