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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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?
IBSAT
Quantitative Aptitude
Ratio and Proportion
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?
IBSAT
Quantitative Aptitude
Ratio and Proportion
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)
IBSAT
Quantitative Aptitude
Geometry
An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD?
IBSAT
Quantitative Aptitude
Geometry
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?
IBSAT
Quantitative Aptitude
Time and 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?
IBSAT
Quantitative Aptitude
Time and Work
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?
IBSAT
Quantitative Aptitude
Profit and Loss
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?
IBSAT
Quantitative Aptitude
Profit and Loss
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?
IBSAT
Quantitative Aptitude
Profit and Loss
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?
IBSAT
Quantitative Aptitude
Profit and Loss
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
IBSAT
Quantitative Aptitude
Profit and Loss
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?
IBSAT
Quantitative Aptitude
Mensuration
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
IBSAT
Quantitative Aptitude
Mensuration
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?
IBSAT
Quantitative Aptitude
Mensuration
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
IBSAT
Quantitative Aptitude
Mensuration
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?
IBSAT
Quantitative Aptitude
Mensuration
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.)?
IBSAT
Quantitative Aptitude
Mensuration
In the given figure, if
\(∠CAT = 65°\)
and
\(∠CAD = 45°\)
, what is the value of
\(∠ACD?\)
(Figure not drawn to scale)
IBSAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
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)
IBSAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
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?
IBSAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
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?
IBSAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
What could be the area of a hexagon inscribed in a circle of radius 12 cm?
IBSAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
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.
IBSAT
Quantitative Aptitude
Speed Time and Distance
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?
IBSAT
Quantitative Aptitude
Time Speed and Distance
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?
IBSAT
Quantitative Aptitude
Time Speed and Distance
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