6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Explanation:

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Filed Under: Volume and Surface Area
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Q:

In a one day match of 50 overs in an innings the Team A had a run rate of 6.1 runs per over. Team B is playing and 10 overs are left and the required run rate to tie the match is 6.5 per over. What is Team B's score now?

A) 235	B) 230
C) 240	D) 225

Answer & Explanation Answer: C) 240

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If the circumference of a circle is 44 cm, then what must be its area (in cm²)?

A) 308	B) 240
C) 154	D) 480

Answer & Explanation Answer: C) 154

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The diagonal of a rhombus is 8m and 6m respectively. Find its area.

A) 48 sq.m	B) 24 sq.m
C) 12 sq.m	D) 96 sq.m

Answer & Explanation Answer: B) 24 sq.m

Explanation:

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Filed Under: Area
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Q:

Find the value of p if -3x - 11, x + p and 5x + 7 are in arithmetic progression.

A) 9	B) 2
C) -9	D) -2

Answer & Explanation Answer: D) -2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If $cosθ = \frac{x^{2} - y^{2}}{x^{2} + y^{2}}$ , then the value of $cotθ$ is

A) 2xyx2-y2	B) 2xyx2+y2
C) x2+y22xy	D) x2-y22xy

Answer & Explanation Answer: D) x2-y22xy

Explanation:

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Filed Under: Simplification
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Q:

Select the odd word from the given alternatives.

A) Chair	B) Sofa
C) Couch	D) Television

Quantitative Aptitude - Arithmetic Ability Questions

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