6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A man spends 15% of his income. If his expenditure is Rs. 75, his income (in rupees) is:

A) 400	B) 300
C) 750	D) 500

Answer & Explanation Answer: D) 500

Explanation:

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Filed Under: Percentage
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Q:

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

A) Car	B) Cycle
C) Tyre	D) Truck

Answer & Explanation Answer: C) Tyre

Explanation:

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Filed Under: Odd Man Out
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Q:

If a + b = 1, then $a^{4} + b^{4} - a^{3} - b^{3} - 2 a^{2} b^{2} + ab$ is equal to

A) 1	B) 2
C) 4	D) 0

Answer & Explanation Answer: D) 0

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Filed Under: Simplification
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Q:

If 3 dozen guavas cost Rs. 90, how many guavas can be bought for Rs. 240?

A) 98	B) 96
C) 102	D) 90

Answer & Explanation Answer: B) 96

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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
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Q:

ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?

A) 72 sq cm	B) 144 sq cm
C) 36 sq cm	D) 487.5 sq cm

Answer & Explanation Answer: B) 144 sq cm

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Filed Under: Volume and Surface Area
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Q:

Which of the following is the largest number among $\sqrt{2}, \sqrt[3]{3}, \sqrt{4}, \sqrt[3]{5}$

A) √2	B) 33
C) √4	D) 53

Answer & Explanation Answer: C) √4

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Filed Under: Problems on Numbers
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Q:

What is the third proportional to 10 and 25?

A) 125	B) 150
C) 62.5	D) 225

Quantitative Aptitude - Arithmetic Ability Questions

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