6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A cone is hollowed out of a solid wooden cube of side 7 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?

A) 253.17 cubic cms	B) 228.84 cubic cms
C) 143.26 cubic cms	D) 257.68 cubic cms

Answer & Explanation Answer: A) 253.17 cubic cms

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

0 1009

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

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 1008

Q:

If in 2 years at simple interest the principal increases by 18%, what will be the compound interest (in Rs) earned on Rs 7000 in 3 years at the same rate?

A) 1865.2	B) 2065.2
C) 1965.2	D) 1765.2

Answer & Explanation Answer: B) 2065.2

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

1 1008

Q:

If cot π/3c - tan π/4c = x, then the value of x is

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

Answer & Explanation Answer: B) (1-√3)/√3

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1008

Q:

If x + 3 ≤ 4x + 4 and 5(4 - x) - 4 ≥ 5x - 2; then

A) 2	B) 3
C) 1	D) -1

Answer & Explanation Answer: C) 1

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1008

Q:

56% of 250 is

A) 56	B) 140
C) 84	D) 112

Answer & Explanation Answer: B) 140

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Percentage
Exam Prep: Bank Exams

12 1008

Q:

If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.

A) -1	B) 1
C) 2	D) -2

Answer & Explanation Answer: C) 2

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1008

Q:

The length of one side of a rhombus is 13 cm and one of the diagonals is 10 cm. What is the legth of the other diagonal?

A) 24 cm	B) 23 cm
C) 25 cm	D) 22 cm

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links