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
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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) Aizwal	B) Agartala
C) Shillong	D) Darjeeling

Answer & Explanation Answer: D) Darjeeling

Explanation:

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Filed Under: Odd Man Out
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Q:

What is the slope of the line perpendicular to the line passing through the points (8,2) and (3,1)?

A) 5	B) 3/5
C) 5/3	D) 1/5

Answer & Explanation Answer: A) 5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?

A) 16	B) 4
C) -6	D) -4

Answer & Explanation Answer: A) 16

Explanation:

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Filed Under: Simplification
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Q:

Weight of A and B are in the ratio 11 : 8. A’s weight increases by 40% and the total weight of A and B increases by 30%. What is the percentage increase in the B’s weight?

A) 10.25	B) 16.25
C) 12.5	D) 18.75

Answer & Explanation Answer: B) 16.25

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

The area of a rhombus is $24 m^{2}$ and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

A) 5m	B) 10m
C) 4m	D) 6m

Answer & Explanation Answer: A) 5m

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If cosA/(1 - sinA) = x, then the value of x is

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

Answer & Explanation Answer: C) secA + tanA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Coefficient of $x^{2} in (x + 7) (5 - 3 x) (3 x - 6) is$

A) 96	B) -30
C) 42	D) -18

Quantitative Aptitude - Arithmetic Ability Questions

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