6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Akash's monthly income is Rs. 9600. His monthly expenditure is 60% of his income. What is his saving per month?

A) Rs. 3840	B) Rs. 3870
C) Rs. 3940	D) Rs. 3850

Answer & Explanation Answer: A) Rs. 3840

Explanation:

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Filed Under: Percentage
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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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Filed Under: Simplification
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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

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Filed Under: Numbers
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Q:

If x + 3 ≤ 4x + 4 and 5(4 - x) - 4 ≥ 5x - 2; then

A) 2	B) 3
C) 1	D) -1

Answer & Explanation Answer: C) 1

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Q:

Select the odd word from the given alternatives.

A) Stream	B) Rivulet
C) River	D) Valley

Answer & Explanation Answer: D) Valley

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Filed Under: Odd Man Out
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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:

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 a class of 50 students there are 27 girls. The average weight of these girls is 45 kg and average weight of the full class is 49.6 kgs. What is the average weight of the boys of the class?

A) 55	B) 54.2
C) 53.4	D) 53

Quantitative Aptitude - Arithmetic Ability Questions

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