6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x:y.

A) 16:15	B) 10:9
C) 45:50	D) 5:8

Answer & Explanation Answer: B) 10:9

Explanation:

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Filed Under: Simple Interest
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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:

A cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?

A) 16 cm	B) 32 cm
C) 5.33 cm	D) 8 cm

Answer & Explanation Answer: A) 16 cm

Explanation:

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Filed Under: Volume and Surface Area
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Q:

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

A) 50°	B) 60°
C) 80°	D) 120°

Answer & Explanation Answer: C) 80°

Explanation:

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Filed Under: Volume and Surface Area
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Q:

The simplified form of ${(x + 3)}^{2} + {(x - 1)}^{2}$ is

A) (x2 + 2x + 5)	B) 2(x2 + 2x + 5)
C) (x2 - 2x + 5)	D) 2(x2 - 2x + 5)

Answer & Explanation Answer: B) 2(x2 + 2x + 5)

Explanation:

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Filed Under: Simplification
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Q:

The value of 2.31 x 0.34 = ?

A) 1.7854	B) 0.7854
C) 0.7845	D) 0.7584

Answer & Explanation Answer: B) 0.7854

Explanation:

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Filed Under: Simplification
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Q:

Select the odd number from the given alternatives.

A) 42	B) 84
C) 91	D) 71

Answer & Explanation Answer: D) 71

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) Dog	B) Cat
C) Goat	D) Lion

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