6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

A) 160	B) 150
C) 130	D) 175

Answer & Explanation Answer: A) 160

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

8 1183

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 sphere to that of cone?

A) 6√3:1	B) 7 : 2
C) 3√3:1	D) 5√3:1

Answer & Explanation Answer: A) 6√3:1

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)

Volume of sphere/volume of cone =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

= 6√3:1

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?

A) 23	B) 37
C) 24	D) 29

Answer & Explanation Answer: A) 23

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If a perfect square, not divisible by 6, be divided by 6, the remainder will be

A) 1, 3 or 5	B) 1, 2 or 5
C) 1, 3 or 4	D) 1, 2 or 4

Answer & Explanation Answer: C) 1, 3 or 4

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

In the following question, select the missing number from the given series.1 108, 81, 54, 27, ?

A) -1	B) -5
C) 0	D) 2

Answer & Explanation Answer: C) 0

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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Q:

The value of $(1 + \tan^{2} \emptyset) (1 - \sin^{2} \emptyset)$ is

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

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If secA/√(sec2A - 1) = x, then value of x is

A) tanA	B) cosecA
C) sinA	D) cosA

Answer & Explanation Answer: B) cosecA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1182

Q:

What will be the value of $r^{2} + p^{2} + s^{2} - rp - ps - rs$ when r = 4, p = 2, s = 8?

A) 8	B) 18
C) 28	D) 38

Quantitative Aptitude - Arithmetic Ability Questions

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