6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the value of 'a' for which $x + \sqrt{3 x} + \frac{a^{2}}{4}$ is a perfect square.

A) √3	B) 2√3
C) 3√3	D) 4√3

Answer & Explanation Answer: A) √3

Explanation:

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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

Explanation:

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Filed Under: Odd Man Out
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Q:

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

A) 1022.48 cubic cms	B) 1533.72 cubic cms
C) 511.24 cubic cms	D) 255.62 cubic cms

Answer & Explanation Answer: C) 511.24 cubic cms

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Filed Under: Area
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Q:

Find the length of one side of a rhombus whose area is 24 sq.cm and the sum of the lengths of its diagonals is 14 cm.

A) 3 cm	B) 6 cm
C) 4 cm	D) 5 cm

Answer & Explanation Answer: D) 5 cm

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Filed Under: Area
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Q:

$∆ DEF$ is right angled at E. If m∠F = $45^{°}$ , then find the value of (cosecD - 1/√3).

A) (√6-1)/√3	B) (1-√6)/√2
C) √3-2	D) (2-√3)/2√3

Answer & Explanation Answer: A) (√6-1)/√3

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

4*(-0.1(5.5 + 8.5)) of 0.5 = ?

A) -2.8	B) -1.68
C) -1.28	D) -0.84

Answer & Explanation Answer: A) -2.8

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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
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Q:

Praneet started his journey at 2:45:46 p.m. and reached the destination at 4:55:57 p.m. Anit started the journey 58 mins 40 secs after Praneet and reached his destination 50 mins 29 secs after him. How long did Anit take to complete his journey?

A) 2 hours 2 seconds	B) 2 hours 2 minutes
C) 1 hour 59 minutes	D) 2 hours 1 minute 12 seconds

Quantitative Aptitude - Arithmetic Ability Questions

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