6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Which one of the following is true for 0°<θ<90°

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The mean of marks secured by 60 students in division A of class X is 64, 40 students of division B is 60 and that of 60 students of division C is 58. Find the mean of marks of the students of three divisions of Class X.

A) 60.05	B) 59.35
C) 62.15	D) 60.75

Answer & Explanation Answer: D) 60.75

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Filed Under: Average
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

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Q:

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?

A) 15	B) 11
C) 17	D) 13

Answer & Explanation Answer: B) 11

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Filed Under: Problems on Numbers
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Q:

A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.

A) Rs. 175	B) Rs. 200
C) Rs. 250	D) Rs. 150

Answer & Explanation Answer: A) Rs. 175

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

What will be the value of xy, if $x^{2} + y^{2} = 45 and x - y = 5 ?$

A) 10	B) 15
C) 20	D) 25

Answer & Explanation Answer: A) 10

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If x + 3 ≤ 4x + 4 and 3(4 - x) - 4 ≥ 2x - 2, then x can take which of the following values?

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

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
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Q:

What is the equation of the line whose y-intercept is 3/4 and making an angle of 45° with the positive x-axis?

A) 4x - 4y = 3	B) 4x - 4y = -3
C) 3x - 3y = 4	D) 3x - 3y = -4

Quantitative Aptitude - Arithmetic Ability Questions

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