6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of $[2 \cot \times (p - A) / 2] / [1 + \tan^{2} \times (2 p - A) / 2]$ ?

A) 2 sin2 A/2	B) cos A
C) sin A	D) 2 cos2 A/2

Answer & Explanation Answer: C) sin A

Explanation:

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Q:

What is the slope of the line perpendicular to the line passing through the points (8,2) and (3,1)?

A) 5	B) 3/5
C) 5/3	D) 1/5

Answer & Explanation Answer: A) 5

Explanation:

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Q:

What least number must be subtracted from 518, so that the sum is completely divisible by 13?

A) 11	B) 10
C) 9	D) 12

Answer & Explanation Answer: A) 11

Explanation:

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Filed Under: Numbers
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Q:

Two fractions are such that their product is 2/5 and sum is 1/15. What are the two fractions.

A) 4/3, -3/10	B) 2/7, -7/5
C) 4/7, -7/10	D) 2/3, -3/5

Answer & Explanation Answer: D) 2/3, -3/5

Explanation:

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Q:

The arithmetic mean of the marks scored by students of a class is 58. 20% of them secured a mean score of 60. The mean score of another 30% of the students was 40. The mean score of the remaining students is

A) 65	B) 66
C) 68	D) 70

Answer & Explanation Answer: C) 68

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Filed Under: Percentage
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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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Q:

A, B and C can work together for Rs. 550/- A and B together are to do 7/11 of the work. The share of C should be?

A) Rs. 200	B) Rs. 300
C) Rs. 400	D) Rs. 450

Answer & Explanation Answer: A) Rs. 200

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

Raghu's tanker can fill a cistern in 4 hours. After half the cistern is filled, three more similar tankers are opened. What is the total time taken to fillthe cistern completely?

A) 2h 30 min	B) 2h
C) 3h	D) 2h 40 min

Quantitative Aptitude - Arithmetic Ability Questions

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