List of top Questions asked in IBSAT

A dry fruit seller purchased 3 kinds of nuts at the rate of 100/kg, 80/kg and 60/kg. He then mixed them, respectively, in the ratio 3 : 4 : 5 by weight and sold the same to a customer at 50% profit. The price at which he sold to the customer is
A boy constructed a triangle such that its height and the three sides form four consecutive integers. If the dimensions can be measured using only 15 cm measurement scale, then the area of the triangle could be
A slab of ice 8 inches in length, 11 inches in breadth and 2 inches thick was melted and resolidified into the form of a rod of 8 inches diameter. The length of such a rod, in inches, is nearest to
In a checkerboard, what is the largest number of squares that can be coloured red, so that in any arrangement of three squares at least one square is not coloured blue?
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?
A quadrilateral of perimeter 126 cm is circumscribed about a circle. Three of its sides taken in order are in the ratio 5 : 8 : 9. What is the length of the fourth side?
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 given figure, if \(∠CAT = 65°\) and \(∠CAD = 45°\), what is the value of \(∠ACD?\) (Figure not drawn to scale)
∠CAT = 65°
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)
PT and ST are two secants
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?
What could be the area of a hexagon inscribed in a circle of radius 12 cm?
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?
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?
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?
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.
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?
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?
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?
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)
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 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?
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.)
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 = xx , 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?