List of top Quantitative Aptitude Questions asked in IBSAT

A group of 630 children is arranged in rows for a photograph session. Each row contains three children lesser than the row in front of it. Which of the below mentioned number of rows is not possible?
How many times does the 29th day of the month occur in 800 successive years?
Mr. Avinash manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is ` 30. On the other hand, the cost, in rupees, of producing x units is $240 + bx + cx^2$ , where b and c are some constants. Avinash noticed that doubling the daily production from 20 to 40 units increases the daily production cost by 66.66 percent. However, an increase in daily production from 40 to 60 units results in an increase of only 50 percent in the daily production cost. Assume that demand is unlimited and that Avinash can sell as much as he can produce. His objective is to maximize the profit. How many units should Mr. Avinash produce daily?
A garrison of 750 men has provisions for 20 weeks. If at the end of 4 weeks, the garrison is reinforced by 450 men, for how many more weeks will the provisions last now?
Find the possible value of cosx, if 3 sin x = 2(1-cos x).
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?
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?
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?
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?
What is the probability that a five-digit number has at least one zero in it?
If 9, 6, p are in arithmetic progression, 9, 6, q are in geometric progression and 9, 6, are in harmonic progression, then what is the value of (4p – 6q + r)?
In each of the following questions a number series is given with one missing (?) term. The term is given as one of the alternatives among the five numbers given in the answer choic Find the term.
2, 5,11,23,47,?
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?
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?
A person owns 150 shares (face value Rs.25) of a company which declares a dividend of 12%. He sells the share at Rs. 40 and invests the proceeds in 7% stock (par value Rs.100) at Rs.80. What is the change in his income?
A right circular cylinder is inscribed in a sphere and the height of the cylinder is equal to the diameter of its bas Find the ratio of the volume of the sphere to that of the cylinder.
The ratio between the speed of a boat and a stream is 3 : 1 respectively. If the boat covers 24 km in 3 hours downstream, what is the speed of the stream?
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. How many houses have only TV and washing machine but not AC?
ABC is a triangl BQ and CR are the bisectors of angles \(\angle\)ABC and \(\angle\)BCA respectively, Q and R are two points on the sides AC and AB respectively. The bisectors meet at a point O. If AQOR is a cyclic quadrilateral, find the measure of \(\angle\)BAC
A plot of land 45m* 65m is divided into four equal rectangular plots by 2 roads that are perpendicular to each other. If the width of the roads is 5 m, find the area of the crossroads.
A trader purchased 20 apples. Half of the stock was sold at a profit of 10% and with that money he purchased five mangoes. After that he sold his entire stock at a profit of 20% thereby gaining Rs.21. Find the cost of each mango.
Simplify the expression \(\frac{\sqrt{\frac{1 - \sin \theta}{1 + \sin \theta}}}{\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}} + \frac{\sqrt{\frac{1 + \sin \theta}{1 - \sin \theta}}}{\sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}}\)
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
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
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?