6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$If {(x - \frac{1}{3})}^{2} + {(y - 4)}^{2} = 0, then the value of \frac{y + x}{y - x} ?$

A) 11/13	B) 13/11
C) 16/9	D) 9/16

Answer & Explanation Answer: B) 13/11

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

0 1417

Q:

Which of the following is correct?

A) (6x + y)(x - 6y) = 6x^2+ 35xy - 6y^2	B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2
C) (6x + y)(x - 6y) = 6x^2- 37xy - 6y^2	D) (6x + y)(x - 6y) = 6x^2+ 37xy - 6y^2

Answer & Explanation Answer: B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2

Explanation:

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

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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
Exam Prep: Bank Exams

0 1417

Q:

Two circles touch externally. The sum of their areas is $130 π$ sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

A) 22 cm	B) 11 cm
C) 33 cm	D) 44 cm

Answer & Explanation Answer: B) 11 cm

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

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Q:

Vikash purchased 5 bananas for Rs.4 and sold 4 bananas for Rs.5. Calculate his % profit?

A) 55.56%	B) 53.25%
C) 45.50%	D) 56.25%

Answer & Explanation Answer: D) 56.25%

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

3 1417

Q:

Which of the numbers given below is the square root of 15376?

A) 122	B) 124
C) 134	D) 128

Answer & Explanation Answer: B) 124

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

2 1417

Q:

R borrowed Rs. 1,200 at 13% per annum simple interest. What amount will R pay to clear the debt after 5 years?

A) Rs.1,860	B) Rs.1,800
C) Rs.1,980	D) Rs.2,000

Answer & Explanation Answer: C) Rs.1,980

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams

8 1417

Q:

Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?

A) 7 years	B) 3 years
C) 5 years	D) 4 years

Quantitative Aptitude - Arithmetic Ability Questions

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