6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If cot 60° + cosec 60° = x, then the value of x is

A) (1-2√2)/√2	B) (√3-4)/2√3
C) 1	D) √3

Answer & Explanation Answer: D) √3

Explanation:

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Q:

If a - b = 4 and ab = -3, then what is the value of $a^{3} - b^{3}$ ?

A) 21	B) 28
C) 23	D) -20

Answer & Explanation Answer: B) 28

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Q:

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

A) 50	B) 60
C) 80	D) 100

Answer & Explanation Answer: C) 80

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Filed Under: Volume and Surface Area
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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:

When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is

A) 35 percent	B) 50 percent
C) 20 percent	D) 65 percent

Answer & Explanation Answer: B) 50 percent

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Filed Under: Profit and Loss
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Q:

If Rajan purchase 21 pens for Rs 20 and sell all the pens at the rate of 20 pens for Rs 21, then what will be the profit percentage?

A) 12.5	B) 13.33
C) 10.25	D) 16.66

Answer & Explanation Answer: C) 10.25

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Q:

In a class of 50 students there are 27 girls. The average weight of these girls is 45 kg and average weight of the full class is 49.6 kgs. What is the average weight of the boys of the class?

A) 55	B) 54.2
C) 53.4	D) 53

Answer & Explanation Answer: A) 55

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Filed Under: Average
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Q:

If sec -7π/4 = x, then the value of x is

A) √2	B) -√2
C) -1/√3	D) -1

Quantitative Aptitude - Arithmetic Ability Questions

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