6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x - y = -8 and xy = 45, then $(x^{2} + y^{2})$ is

A) 154	B) 64
C) 90	D) 26

Answer & Explanation Answer: A) 154

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Q:

Find the unit place digit in ${(192)}^{102} + {(193)}^{103}$

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: B) 1

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Q:

Select the odd number from the given alternatives.

A) 121	B) 44
C) 66	D) 111

Answer & Explanation Answer: D) 111

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Q:

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

A) VR	B) LH
C) SW	D) FB

Answer & Explanation Answer: C) SW

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Q:

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

A) 36-72	B) 17-34
C) 28-49	D) 24-48

Answer & Explanation Answer: C) 28-49

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Q:

On dividing a number by 38, we get 70 as quotient and 12 as remainder. What is the number?

A) 2648	B) 2636
C) 2684	D) 2672

Answer & Explanation Answer: D) 2672

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Q:

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A) 65 km/h	B) 70 km/h
C) 75 km/h	D) 80 km/h

Answer & Explanation Answer: C) 75 km/h

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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}

Quantitative Aptitude - Arithmetic Ability Questions

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