List of top Questions asked in IBSAT

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, 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
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 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 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 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?
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?
What is the sum of the factors of 27000?
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 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 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?
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 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?
Anu collected certain number of coins of denominations ` 1, ` 2 and ` 5. She has certain number of ` 2 coins, 4 times as many ` 1 coins as ` 5 coins and 15 more ` 2 coins than ` 1 coins. If the total value is ` 490, how many ` 2 coins are there?
Given quadratic equation is \(x^2-|x|-30=0 . \)Then which of the following statements is/are incorrect?
P, Q and E start a joint venture, where in they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of `10,000 per month. The profit after paying P’s salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns ` 60,000 more than Q, then how much does P earn?
Given \(A=x+y^2+z^3\). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?
The charge for sending a telegram is constant for the first 10 or less words and an amount proportional to the number of words exceeding 10. If the charge for sending a 15 word telegram is ` 3.00 and that for a 20 word is ` 4.25, how much would it cost to send a 35 word telegram?
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?
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?
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?
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
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
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