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
Exam Prep: Bank Exams

0 1106

Q:

In the given series, how many 8s are there that are not divisible by the number to its left but completely divisible by the number to its right.

563248889266588343

A) 4	B) 2
C) 1	D) 3

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 1105

Q:

If $a - \frac{1}{a} = 1, then a^{2} + \frac{1}{a^{2}}$ ?

A) 1	B) 3
C) 2	D) 4

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1105

Q:

If a.sin 45°.cos 45°.tan60° = tan 245° cos60° then find the value of a ?

A) 13	B) 3
C) 1	D) 32

Answer & Explanation Answer: A) 13

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1105

Q:

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

A) Vishakhapatnam	B) Mumbai
C) Kochi	D) Bhubaneshwar

Answer & Explanation Answer: D) Bhubaneshwar

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) 343	B) 357
C) 352	D) 371

Answer & Explanation Answer: C) 352

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If $a + \frac{1}{b} = 1 and b + \frac{1}{c} = 1$ , then the value of $c + \frac{1}{a}$ is

A) 0	B) 1
C) -1	D) 2

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?

A) 4/5	B) 9/4
C) 4/9	D) 5/4

Quantitative Aptitude - Arithmetic Ability Questions

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