List of top Quantitative Aptitude Questions asked in IBSAT

P, Q, S and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is the diameter of the circle. What is the perimeter of the quadrilateral PQSR?

Shyam has a square piece of paper of length 15 m. He put four circles on the edges of the square such that the edges of the square are centres of the circles and they touch each other at the midpoint of their respective sides. What is the area of the square which is not covered by the four circles (approx.)?

In the figure below, PT and ST are two secants. If O is the centre of the circle and PQ = 2QT = 8 cm, OS = 5 cm, then what is the measure of the line OT? (Figure not drawn to scale)

In triangle DEF shown below, points A, B and C are taken on DE, DF and EF respectively such that EC = AC and CF = BC. If angle D = 40 degress, then what is angle ACB in degrees?

In the given figure, if \(∠CAT = 65°\) and \(∠CAD = 45°\), what is the value of \(∠ACD?\) (Figure not drawn to scale)

The dimensions of a triangle are 15 cm, 8 cm and 17 cm. What is the area of a circle having radius (r + 4) cm if 'r' is the inradius of the given triangle?

What could be the area of a hexagon inscribed in a circle of radius 12 cm?

Two pipes A and B would fill a cistern in 30 and 40 minutes respectively. Both pipes are opened. Determine the time the first pipe can be turned off so that the cistern may be just filled in 20 minutes?

There are five containers A, B, C, D and E each containing 1200 litres of water. The water is being pumped from one tank to another as follows:
From A to B at 30 litres/minute
From C to A at 60 litres/minute
From A to E at 20 litres/minute
From C to D at 50 litres/minute
From D to B at 80 litres/minute
From B to C at 60 litres/minute
From E to D at 10 litres/minute
From E to A at 10 litres/minute
Which tank gets emptied first?

In a kilometer race, A gives B a head start of 50 m and still beats B by 8 m. By what distance A will beat B, if B gives a start of 50 m to A.

Rohit purchased a car and a plot at the same time. At the end of the first two years the value of the plot increased by 30% and the value of the car decreased by 10%. At the end of next two years, the value of the car decreased by 20% and the value of the plot increased by 25%. At the end of next two years, the value of the plot increased by 20% and the value of car is decreased by 25%. Had he sold both the car and the plot at the end of sixth year, he would have got 56% more from the plot than from the car. How much less did he pay for the plot that the car when he purchased them?

Given A = x+y² +z³. If x increases by 6300%, y increases by 700% and z increases by 300%, then 3 what is the percentage increase in the value of A?

A’s income is 20% less than B’s income, B’s income is 20% less than C’s income, C’s income is 15% more than D’s income, D’s income is 15% less than E’s income. If E’s income is Rs. 25,400 then what is the income of A? (Income is calculated per year)

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?

An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. What is the percentage of houses having all the three equipments to the houses having only two equipments? (Approx.)

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 trader marks an article 4x% above the cost. He gives a discount of (x + 3)% and gets a profit of (2x – 3)%. If he gives a discount of (2x/3)%, what would be his gain percent?

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?

If S = (1 x 1!) + (2 x 2!) + (3 x 3!) + … + (11 x 11!), then (S + 5) when divided by 12! leaves a remainder of

Two positive integers differ by 5. The sum of their reciprocals is 9/14. Then one of the numbers is:

If ‘y’ is a number such that y = x^x , where x is a positive integer, what is the difference between the largest possible two-digit value of y and the smallest possible three-digit value of y?

Saga Internationals have conducted a chess competition between young boys and girls, wherein every individual has to play exactly one game with every other individual. It was found that in 66 games, both the players were girls, and in 210 games, both were boys. Find the number of games in which one player was a boy and the other was a girl.

What is the unit's digit of the expression 77⁹²⁰ + 64¹⁶⁵ + 53²⁴⁶?

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?

A fruit vendor brought a bag full of mangoes to the market. He kept some of the mangoes into the basket and put them for sale. He sold one-third of the mangoes in the basket to Mr. A and adds 18 more to it. He sold three-fourth of the remaining mangoes in the basket to Mr. B, and adds 12 more to it, after which he left with 25 mangoes in his basket. How many mangoes did the fruit vendor take in his basket in the beginning?