6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If p = 99, then the value of $p (p^{2} + 3 p + 3)$ will be

A) 999999	B) 1000000
C) 1000001	D) 999998

Answer & Explanation Answer: A) 999999

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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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 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:

The sum of thrice a number and twice its reciprocal is 97/4. What is the number?

A) 9	B) 10
C) 8	D) 7

Answer & Explanation Answer: C) 8

Explanation:

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Filed Under: Problems on Numbers
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Q:

A can do a piece of work in 8 days and B can do it in 10 days seperately. How many days would it take for both A and B to finish the same work together?

A) 33/8	B) 40/9
C) 41/10	D) 42/11

Answer & Explanation Answer: B) 40/9

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

At 5% simple interest per annum a certain sum yields a total amount of Rs. 2,790 at the end of 3 1/4 years. The sum invested was

A) Rs. 2350	B) Rs. 2400
C) Rs. 2600	D) Rs. 2550

Answer & Explanation Answer: B) Rs. 2400

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

What is the value of √[(1 - sinA)/(1 + sinA)]?

A) cosA/(1 - sinA)	B) cosecA/(1 + sinA)
C) cosA/(1 + sinA)	D) cosecA/(1 - sinA)

Answer & Explanation Answer: C) cosA/(1 + sinA)

Explanation:

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Q:

What is the value of √[(1 - cosA)/(1 + cosA)]?

A) cosecA - cotA	B) cosecA + cotA
C) secA - cotA	D) secA + cotA

Answer & Explanation Answer: A) cosecA - cotA

Explanation:

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Q:

The HCF of 24, 60 and 90 is:

A) 3	B) 6
C) 12	D) 4

Quantitative Aptitude - Arithmetic Ability Questions

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