6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

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

A) MNO	B) LSS
C) PQR	D) TUV

Answer & Explanation Answer: B) LSS

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If $x^{2} - 4 x + 1 = 0$ , then what is the value of $x^{9} + x^{7} - 194 x^{5} - 194 x^{3}$ ?

A) 4	B) – 4
C) 1	D) – 1

Answer & Explanation Answer: B) – 4

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Filed Under: Simplification
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Q:

If 2x - 5y = 5 and 2x - y = 9, then x - y is ______.

A) 2	B) 4
C) 6	D) 3

Answer & Explanation Answer: B) 4

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?

A) 3x - 13y	B) 3x + 13y
C) 13x - 3y	D) 13x + 3y

Answer & Explanation Answer: B) 3x + 13y

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Filed Under: Simplification
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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 cube to that of the cylinder ?

A) 4 : 3	B) 21 : 16
C) 14 : 11	D) 45 : 32

Answer & Explanation Answer: C) 14 : 11

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)

\frac{Vcube}{Vcylinder} = \frac{a^{3}}{{πr}_{2}^{2} h} = 14 / 11

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

ABC is a triangle if $\sin (\frac{A + B}{2}) = \frac{\sqrt{3}}{2}$ then the value of Sin $\frac{c}{2}$ is

A) 12	B) 0
C) 1/2	D) 32

Answer & Explanation Answer: C) 1/2

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If 20 men working 8 hours per day can complete a piece of work in 21 days. How many hours per day must 48 men work to complete the same job in 7 days?

A) 12	B) 20
C) 10	D) 15

Answer & Explanation Answer: C) 10

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

The ratio of sand to gravel in a mixture is 7 : 8 while that between gravel and cement is 6 : 7. What is the ratio of sand to cement in the mixture?

A) 49 : 48	B) 7 : 7
C) 8 : 6	D) 3 : 4

Quantitative Aptitude - Arithmetic Ability Questions

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