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 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

Report Error

View Answer Report Error Discuss

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

0 1189

Q:

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

A) 8-11	B) 1-4
C) 7-10	D) 3-5

Answer & Explanation Answer: D) 3-5

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 1189

Q:

If A : B = 3 : 4 and B : C = 6 : 5 then A : (A + C) is

A) 9 : 11	B) 9 : 10
C) 9 : 19	D) 6 : 7

Answer & Explanation Answer: C) 9 : 19

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

4 1189

Q:

For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?

A) 3x - 2y = -11	B) 3x + 2y = 7
C) 3x + 2y = -7	D) 3x - 2y = 11

Answer & Explanation Answer: C) 3x + 2y = -7

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1189

Q:

Which of the following is not a quadratic equation?

A) 2x(x + 4) -11 = x(x - 3) + 6	B) 4x(x + 4) -11 = 5x(x - 3) + 5
C) x(x + 2) -15 = x(x - 5) + 11	D) 2x2 + 8x - 11 = 0

Answer & Explanation Answer: C) x(x + 2) -15 = x(x - 5) + 11

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1189

Q:

The measures of the four angles of a quadilateral are in the ratio 3:4:5:6. What is the measure of the biggest angle?

A) 120°	B) 100°
C) 80°	D) 60°

Answer & Explanation Answer: A) 120°

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

1 1188

Q:

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

A) -1	B) -1/√3
C) √3	D) 1

Answer & Explanation Answer: B) -1/√3

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1188

Q:

A basket contains 300 mangoes . 75 mangoes were distributed among some students . Find the percentage of mangoes left in the basket

A) 70%	B) 72%
C) 76%	D) 75%

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links