6500+ Quantitative Aptitude Questions and Answers With Explanation

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:

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cub.cm more. Assuming Π = 22/7, the height of the cylinder is

A) 5 cm	B) 7 cm
C) 9 cm	D) 11 cm

Answer & Explanation Answer: B) 7 cm

Explanation:

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Filed Under: Volume and Surface Area
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Q:

$2 - {(cosA + sinA)}^{2}$ is equal to

A) (cosecA - sinA)2	B) cosA - sinA
C) cosecA - sinA	D) (cosA - sinA)2

Answer & Explanation Answer: D) (cosA - sinA)2

Explanation:

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Filed Under: Simplification
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Q:

What is the value of $z^{2} + \frac{1}{z^{2}}$ when $z = 5 + 2 \sqrt{6}$ ?

A) 49	B) 50
C) 98	D) 100

Answer & Explanation Answer: C) 98

Explanation:

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Filed Under: Simplification
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Q:

In the following question, select the odd letter/letters from the given alternatives.

A) LNPR	B) KMOQ
C) FHIK	D) TVXZ

Answer & Explanation Answer: C) FHIK

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

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

A) Tonne	B) Quintal
C) Kilogram	D) Gallon

Answer & Explanation Answer: D) Gallon

Explanation:

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Q:

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

A) BC	B) IF
C) CL	D) GH

Answer & Explanation Answer: A) BC

Explanation:

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Q:

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

A) 3	B) 2
C) 5	D) 1

Quantitative Aptitude - Arithmetic Ability Questions

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