List of top Questions asked in IBSAT

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 :

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

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 \(\frac{1}{3}\)

A number is picked randomly from a given set of numbers. What is the probability that it is divisible by 3?
Statement 1: The set contains 10 consecutive integers
Statement 2: The first number of the set is divisible by 3

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 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

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, 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 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

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 :

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 father can do the job twice as fast as his two sons put together. If one son can do it in 12 hours, in how many hours can the father do the job
Statement 1: The other son can do the job in 6 hours
Statement 2: The ratio between the number of hours taken by two sons to complete the work is 1 : 2

A boy throws stones one by one where the distance to which a boy can throw the stone is inversely proportional to its weight. He breaks the stone into 3 pieces whose weights are in the ratio 1 : 3 : 2. Upto what distance can he throw the unbroken stone?
Statement 1: the sum of the distances covered by the three broken pieces is 22 m
Statement 2: the total weight of the unbroken stone is 12 kg

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

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

If a real estate agent received a commission of 10% of the selling price of a certain house, what was the selling price of the house?
Statement 1: The difference between the selling price and the real estate agent’s commission is ` 630,000
Statement 2: The selling price is 350% of the original purchase price of ` 200,000

‘a’ and ‘b’ are two natural numbers. Is ‘b’ a perfect square?
Statement 1: ‘b’ is divisible by (a + 1)2
Statement 2: \(b < 100\)

On a particular day, who came earlier, Anita or Vani?
Statement 1: Anita came not later than 2 PM on that day
Statement 2: Vani came not earlier than 1 PM on that day

a, b and c are prime numbers. What is the value of a x b x c?
Statement 1: a + b + c = 12
Statement 2: 6300 is divisible by a x b x c and 1890 is divisible by b x c

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

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

A manufacturing unit gives a total average salary of Rs. 100 per day to its salesman and supervisors. The average salary for a salesman per day is Rs. 85 and a company employs 440 salesman, how many supervisors does the company employed?
Statement 1: The average salary of a supervisor is Rs. 160 per day
Statement 2: The ratio between the average salaries of salesman and supervisor is 17 : 32

A boat takes 3 hours to travel from point X to Y upstream and Y to X downstream. What is the speed of the water current in km/hour?
Statement 1: The speed of boat in still water is 6 kmph
Statement 2: In some other river, stream the boat covers the same distance in 2 hours with the same speed.

A set contains six odd numbers. What is its median?
Statement 1: Sum of 6 odd numbers is 300 and they are consecutive
Statement 2: The mean of six numbers is 20
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 :