6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

How much does one need to add to 2/3 to obtain 3/2?

A) 5/6	B) 1.5/6
C) 1/-1	D) 4/9

Answer & Explanation Answer: C) 1/-1

Explanation:

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Filed Under: Decimal Fractions
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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 mean of the data 1, 2, 10, 18, 3, 17, 19 is

A) 7	B) 10
C) 17	D) 70

Answer & Explanation Answer: B) 10

Explanation:

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Filed Under: Average
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Q:

If (6x - 5) = (4x + 7), then the numerical value of ${(x + 1)}^{3}$ is

A) 216	B) 125
C) 64	D) 343

Answer & Explanation Answer: D) 343

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Mr. Ibrahim borrowed Rs. 7500 at 5% per annum compound interest. The compound interest compounded annually for 2 years is

A) 768.75	B) 8268.75
C) 8286.75	D) 786.75

Answer & Explanation Answer: B) 8268.75

Explanation:

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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

A) 25.98	B) 26.58
C) 27.58	D) 27.98

Answer & Explanation Answer: C) 27.58

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Filed Under: Simplification
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Q:

What is the third proportional to 10 and 20?

A) 30	B) 25
C) 50	D) 40

Quantitative Aptitude - Arithmetic Ability Questions

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