6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

A) -22	B) -25
C) -19	D) -28

Answer & Explanation Answer: C) -19

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Q:

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

A) YXW	B) LKJ
C) RQP	D) MNO

Answer & Explanation Answer: D) MNO

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Q:

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

A) Bigger	B) Faster
C) Greater	D) Taller

Answer & Explanation Answer: B) Faster

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Q:

Select the odd number from the given alternatives.

A) 24	B) 39
C) 65	D) 51

Answer & Explanation Answer: C) 65

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Q:

Find the odd word / letter / number from the given alternative

A) 36 - 48	B) 56 - 44
C) 78 - 66	D) 33 - 64

Answer & Explanation Answer: D) 33 - 64

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Q:

If α and β are the roots of the equation $x^{2} + x - 1 = 0$ , then what is the equation whose roots are $α^{5} and β^{5}$ ?

A) x2 + 7x – 1 = 0	B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0	D) x2 + 11x – 1 = 0

Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Q:

The sum for 2 years gives a compound interest of Rs 3225 at 15% rate. Then sum is

A) 10000	B) 20000
C) 15000	D) 32250

Answer & Explanation Answer: A) 10000

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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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