6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the following question, select the odd letters from the given alternatives.

A) CD	B) PR
C) ST	D) WX

Answer & Explanation Answer: B) PR

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 11 – 121	B) 13 – 169
C) 19 – 361	D) 17 – 279

Answer & Explanation Answer: D) 17 – 279

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Filed Under: Odd Man Out
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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:

A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed
of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over taken?

A) 640 metres	B) 800 metres
C) 960 metres	D) 480 metres

Answer & Explanation Answer: B) 800 metres

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A, B and C can do a job working alone in 12, 16 and 24 days respectively. In how many days they can do the job if they worked together?

A) 16/3	B) 15/4
C) 17/3	D) 19/4

Answer & Explanation Answer: A) 16/3

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Filed Under: Time and Work
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Q:

Two circles touch externally. The sum of their areas is $130 π$ sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm	B) 11 cm
C) 33 cm	D) 44 cm

Answer & Explanation Answer: B) 11 cm

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Filed Under: Volume and Surface Area
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Q:

$If {(x - \frac{1}{3})}^{2} + {(y - 4)}^{2} = 0, then the value of \frac{y + x}{y - x} ?$

A) 11/13	B) 13/11
C) 16/9	D) 9/16

Answer & Explanation Answer: B) 13/11

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

The simplification value of $\frac{\sqrt[3]{7}}{\sqrt{5} + \sqrt{2}} - \frac{\sqrt[5]{5}}{\sqrt{2} + \sqrt{7}} + \frac{\sqrt[2]{2}}{\sqrt{7} + \sqrt{5}}$ is

A) 0	B) 1
C) 5	D) 6

Quantitative Aptitude - Arithmetic Ability Questions

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