6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight of A?

A) 70 Kg	B) 72 Kg
C) 75 Kg	D) 80 Kg

Answer & Explanation Answer: C) 75 Kg

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

1 1500

Q:

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

A) 18	B) 25
C) 24	D) 21

Answer & Explanation Answer: B) 25

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Filed Under: Time and Work
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4 1500

Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the cube to that of the cylinder ?

A) 4 : 3	B) 21 : 16
C) 14 : 11	D) 45 : 32

Answer & Explanation Answer: C) 14 : 11

Explanation:

The top view of the given assembly will look like the figure above

Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.

Here side of cube = a

Diameter of Sphere = body diagnol = √3 a

Radius of sphere = √3 a/2 =r1

Height of Cylinder = Height of cone = side of cube = a =h

Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)

\frac{Vcube}{Vcylinder} = \frac{a^{3}}{{πr}_{2}^{2} h} = 14 / 11

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Filed Under: Volume and Surface Area
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0 1500

Q:

Point A divides segment BC in the ratio 5:1. Co-ordinates of B are (6 ,-4) and C are (0,8). What are the co-ordinates of point A?

A) (-1 , 6)	B) (1 , -6)
C) (-1 , -6)	D) (1 , 6)

Answer & Explanation Answer: D) (1 , 6)

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Filed Under: Volume and Surface Area
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0 1499

Q:

A wooden bowl is in shape of a hollow hemisphere of internal radius 8 cm and thickness 1 cm. Find the total surface area of the bowl?

A) 964.85 sq cms	B) 1125.14 sq cms
C) 1687.71 sq cms	D) 281.29 sq cms

Answer & Explanation Answer: A) 964.85 sq cms

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Filed Under: Volume and Surface Area
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Q:

Total surface area of a cube is 486 sq cm, find sum of length of all its edges?

A) 216 cms	B) 108 cms
C) 54 cms	D) 162 cms

Answer & Explanation Answer: B) 108 cms

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Q:

In what time will Rs.4400 become Rs.4576 at 8% per annum interest compounded half-yearly?

A) 1 year	B) 2 years
C) 6 months	D) 7 months

Answer & Explanation Answer: C) 6 months

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Filed Under: Time and Distance
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Q:

An angle is thrice its complementary angle. What is the measure of the angle?

A) 22.5°	B) 135°
C) 45°	D) 67.5°

Quantitative Aptitude - Arithmetic Ability Questions

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