6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Rathin is now 16 years old while his cousin is 7 years. After how many years will Ratin's age be 1.5 times that of his cousin?

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

Answer & Explanation Answer: B) 11

Explanation:

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Filed Under: Problems on Ages
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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:

What is the simplified value of $\sqrt{12} - \frac{1}{\sqrt{3}}$ ?

A) 5√3	B) 5/√3
C) 3√5	D) 3/√5

Answer & Explanation Answer: B) 5/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of sec -2π/3 ?

A) -2	B) 2
C) 2/√3	D) -2/√3

Answer & Explanation Answer: A) -2

Explanation:

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Filed Under: Simplification
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Q:

The value of $\frac{sinθ}{1 + cosθ} + \frac{sinθ}{1 - cosθ}$

A) 2sinθ	B) 2cosθ
C) 2secθ	D) 2cosecθ

Answer & Explanation Answer: D) 2cosecθ

Explanation:

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Filed Under: Simplification
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Q:

If 7/8th of 5/4th of a number is 315, then 5/9th of that number is _____

A) 123	B) 81
C) 140	D) 160

Answer & Explanation Answer: D) 160

Explanation:

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Filed Under: Percentage
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Q:

When a number is increased by 26, it becomes 113% of itself. What is the number?

A) 200	B) 312
C) 390	D) 234

Answer & Explanation Answer: A) 200

Explanation:

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Filed Under: Percentage
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Q:

Find the odd word/letters/number from the given alternatives.

A) BDGK	B) JLOS
C) NPSW	D) MORU

Quantitative Aptitude - Arithmetic Ability Questions

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