6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the least number that should be added to the product 11 x 12 x 13 x 14 to make it a perfect square?

A) 1	B) 311
C) 5	D) 0

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Problems on Numbers
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 simple interest on a sum for 5 years is Rs 16800. The rate of interest for the first 3 years is 8% per annum and for the next 2 years is 12% per annum. What is the value (in Rs) of sum?

A) 30000	B) 38000
C) 32000	D) 35000

Answer & Explanation Answer: D) 35000

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

What is the value of cos 4π/3?

A) -1/2	B) √3/2
C) - 1/√2	D) √3/2

Answer & Explanation Answer: A) -1/2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Find the value of $27 a^{3} + \frac{1}{a^{3}}$ , if $9 a^{2} + \frac{1}{a^{2}} = 43$

A) 240	B) 280
C) 320	D) 360

Answer & Explanation Answer: B) 280

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

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

A) Nokia	B) Whirlpool
C) Apple	D) Micromax

Answer & Explanation Answer: B) Whirlpool

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If x stands for addition, / stands for subtraction, + stands for multiplication and - stands for division, then what is the value of 20 x 8 / 8 - 4 + 2 ?

A) 24	B) 1
C) 20	D) 0

Answer & Explanation Answer: A) 24

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

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Q:

Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is

A) 36 Metres	B) 48 Metres
C) 60 Metres	D) 72 Metres

Quantitative Aptitude - Arithmetic Ability Questions

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