6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made.

A) 312 sq.cm	B) 128 sq.cm
C) 412 sq.cm	D) 246 sq.cm

Answer & Explanation Answer: B) 128 sq.cm

Explanation:

Area = = 96

Sum of Area =

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Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm	B) 115.395 sq cm
C) 104.214 sq cm	D) 111.241 sq cm

Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is $4 (\frac{3}{4} \times \frac{22}{7} \times 3.5 \times 3.5)$ = 115.3955 sq cm.

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Q:

What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?

A) 4:1	B) 5:1
C) 6:1	D) 7:1

Answer & Explanation Answer: C) 6:1

Explanation:

Volume of the cube/volume of pyramid= $\frac{a^{3}}{(\frac{1}{3} a^{2} \times \frac{a}{2})}$

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Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25	B) 3:25
C) 4:25	D) 6:25

Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

ratio of their areas = $\frac{1}{2} * {(2 x)}^{2} : \frac{1}{2} * {(5 x)}^{2}$ = 4:25

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Q:

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A) 32	B) 42
C) 62	D) 92

Answer & Explanation Answer: D) 92

Explanation:

P = 2l + 2w

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Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

A) 6cm	B) 5cm
C) 3cm	D) 4cm

Answer & Explanation Answer: A) 6cm

Explanation:

A=lb

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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

A) 13 – 14	B) 15 – 16
C) 24 – 25	D) 19 – 21

Answer & Explanation Answer: D) 19 – 21

Explanation:

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Q:

The price of an item is decreased by 25%. What percent increase must be done in new price to get the original price?

A) 33.33%	B) 43.3%
C) 50%	D) 55.3%

Answer & Explanation Answer: A) 33.33%

Explanation:

Let the price of an item be 100After 25% decrease, price of item = 75Increase in price to get the original price = 100-75 = 25% increase to get the original price = 25/75 X 100 = 100/3 = 33.33%

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Quantitative Aptitude - Arithmetic Ability Questions

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