List of top Questions asked in IBSAT

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?
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 :
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 :
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 chart consists of numbers from 1 to 360. What is the sum of all the numbers remained on the chart after removing all the multiples of 2, multiples of 3 and multiples of 5?
The ratio of selling prices of four articles is \(3 : 5 : 6 : 8\) and their profits are 20%, 25%, 20% and 25% respectively. What is the overall percentage of profit on selling the four articles?
A trader buys 240 watches for ` 50,400 and he marks each of them at ` 320. He gives a discount of 15% on each watch and gives 1 watch free on a purchase of 5 watches. What is his minimum possible overall percentage of profit?
What is the simplified value of \(\frac{(1.08 \times 1.08 \times 1.08 \times 1.08 \times -0.92 \times 0.92 \times 0.92 \times 0.92)}{1.08^2 + 0.92^2 + 2 \times 1.08 \times 0.92}\) correct to two decimal places?
A number when divided by 7 leaves a remainder x. When divided by 19 it leaves a remainder 2x. Also, when divided by 39 it leaves a remainder 3x. If x = 3, then what is the least possible value of such number?
What is the sum of the factors of 27000?
A started a business with a capital of 24,000.B joined him after a month with a capital of 22,000 and C joined A and B with a capital of `20,000 and new partners joined in this manner so on till L joined in the last month with a capital of 2,000.What is the total profit if D got 72,000 more than L?
A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?
The populations of two cities X and Y is equal. The population of city X increases in two successive years by 15% and 20% respectively and that of city Y increases successively by 10% and 30% respectively. If the difference in the population of two cities after 2 years is 55,980, then what was the total population of the two cities initially?
A committee is to be formed from amongst 9 boys and 6 girls. In how many ways can the boys and girls divide themselves into groups of three so that no group has more than 2 girls and no group has all boys?
The boat will sink when the weight on it increases beyond 350 kg. There is a hole in it through which the water leaks in at the rate of 0.4 kg/s. The weight of the boat is 1200 kg, and the weight of the boatman is 48 kg. The boatman throws out water at the rate of 0.04 kg/s. There are four passengers whose weights are 42.5 kg, 53.5 kg, 43.5 kg and 54.5 kg. How long will the boat float?
Gopi constructed a right-angled triangle. By modifying the dimensions of first triangle, he drew another triangle. The modifications are - the largest side is increased by 5 cm, the smallest side is doubled and the third side is increased by 50%. If the triangle formed with these new dimensions has equal angles, then what is the perimeter of the new triangle?
There are eight persons – P, Q, R, S, T, U, V and W, standing in a row and four distinct articles A, B, C and D are to be given to four people. No four neighboring persons receive an article. How many ways can this distribution be done?