6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) WYA	B) MNO
C) ACE	D) EGI

Answer & Explanation Answer: B) MNO

Explanation:

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Filed Under: Odd Man Out
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Q:

Identify the odd one out from the following:

A) Alloy	B) Air
C) Milk	D) Water

Answer & Explanation Answer: D) Water

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Q:

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

A) MNO	B) LSS
C) PQR	D) TUV

Answer & Explanation Answer: B) LSS

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Q:

What is the value of ${[\tan (90 - A) + \cot (90 - A)]}^{2} / [2 \sec^{2} (90 - 2 A)]$ ?

A) 0	B) 1
C) 2	D) – 1

Answer & Explanation Answer: C) 2

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Filed Under: Simplification
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Q:

In a Kite _____.

A) One diagonal bisects the other	B) Both diagonals form two congruent triangles
C) Adjacent angles are supplementary	D) Opposite sides are parallel

Answer & Explanation Answer: A) One diagonal bisects the other

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Filed Under: Area
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Q:

ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?

A) 2/√3	B) 2/3
C) √2/√3	D) √2/3

Answer & Explanation Answer: A) 2/√3

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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:

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

A) 2810	B) 1250.5
C) 1725.25	D) 2425.5

Quantitative Aptitude - Arithmetic Ability Questions

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