List of top Quantitative Aptitude Questions asked in ICFAI Business School Aptitude Test

What is the number of distinct terms in the expansion of $(x + y + z )25$ ?

There are three cans and a bucket. The cans each have a capacity of 5 litres, but are partially filled with water. The bucket also has some water in it. The sum of the water in the bucket and water in the first can is half of the total bucket capacity. When the first and third cans are emptied into the bucket, it contains 6 litres of water. Instead, when the second and the third cans are emptied into the bucket, it contains 7 litres of water. When water in all the cans are poured into the bucket, it is filled to its capacity. The first and second can contain a total of 7 litres. What is the capacity of the bucket?

The ratio between two numbers is 6 : 5. If 30% of the first number is 12, what would be 60% of the second number?

In a school, 150 students offered Hindi as an optional subject, 85 French and 90 Sanskrit. Out of these, 73 offered Hindi only, 52 French only, 18 Hindi and French only and 10 French and Sanskrit only. How many students offered Sanskrit only?

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?

In an organization, there are four departments A, B, C and D with some accountants, managers, stenographers and office boys working together. Department A has 10 accountants, 8 managers, 7 stenographers and 3 office boys. The total monthly salary of all these employees is Rs. 2,37,500. Department B has 5 stenographers, 12 accountants, 6 managers and 7 office boys. The total monthly salary of all these employees is Rs. 2,31,500. Department C has 4 managers, 4 stenographers, 5 office boys and 7 accountants. The total monthly salary of all these employees is Rs. 1,51,000. If all the respective employees are paid equally in all the departments, then find the total monthly salary of 18 accountants, 11 managers, 10 stenographs and 10 office boys of department D

What is the ratio of the sum of the squares of the sides of a triangle to the sum of the squares of its median?

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?

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)

An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD?

There are two solid pyramids, each having 8 edges of length 8 cm each. These two pyramids are moulded to form a hexagonal pyramid with length of each side as 8 cm. What is the slant height of the new pyramid?

A man is paid Rs. 80 per regular working hour and Rs. 100 per hour overtime. He works only 8 hours per day and 6 days a week. If he earns Rs. 15,760 in four weeks, then for how many hours did he work?

Four pipes A, B, C and D can fill a tank in 12, 16, 20 and 24 hours respectively. Pipe A was opened at 6.00 AM, pipe B at 7.00 AM, pipe C at 9 AM and pipe D at 10.00 AM. When will the tank be full?

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 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 shopkeepers marked price of an article is 140% of the cost price. He sold the articles under two schemes. Scheme 1 is to sell each article at a discount of 10% and scheme 2 to sell two articles at a discount of 15% each. He sold 60% of the articles under scheme 2 and the remaining under scheme 1. What is his overall gain or loss percentage?

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?

If the selling price of an article is five times the discount offered and if the percentage of discount is equal to the percentage profit, what is the ratio of the discount offered to the cost price?

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

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?

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

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?

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)