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 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:

By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20% ?

A) 4/5	B) 8/5
C) 5/4	D) 6/5

Answer & Explanation Answer: C) 5/4

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

A) 144	B) 49
C) 98	D) 72

Answer & Explanation Answer: D) 72

Explanation:

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

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Q:

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A) 2:2	B) 3:2
C) 3.5:2	D) 7:2

Answer & Explanation Answer: C) 3.5:2

Explanation:

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

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Q:

3 numbers whose average is 112, the first number is 1/6th the sum of other 2. What is the first number?

A) 45	B) 30
C) 15	D) 48

Answer & Explanation Answer: D) 48

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

To cover a distance of 252 km in 2.5 hours what should be the average speed of the car in meters/second?

A) 100.8 m/s	B) 50.4 m/s
C) 28 m/s	D) 56 m/s

Answer & Explanation Answer: C) 28 m/s

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

At 10% discount the selling price of an article is Rs 4500, what is the selling price (in Rs) if the discount is 27.5%?

A) 4000	B) 3625
C) 3500	D) 3125

Answer & Explanation Answer: B) 3625

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

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

A) 2890	B) 3375
C) 1728	D) 1331

Quantitative Aptitude - Arithmetic Ability Questions

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