6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The perimeter of a triangle is 28 cm. If the length is 5/2 times its breadth, find the length and breadth of the triangle.

A) 9 & 5	B) 10 & 4
C) 6 & 7	D) 11 & 3

Answer & Explanation Answer: B) 10 & 4

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

How much quantity (in kg) of wheat costing Rs 84 per kg must be mixed with 81 kg of wheat costing Rs 60 per kg so that on selling the mixture at Rs 75.9 per kg, there is a gain of 15%?

A) 27	B) 20.5
C) 22.75	D) 24

Answer & Explanation Answer: A) 27

Explanation:

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Filed Under: Profit and Loss
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Q:

What is the value of (tan45° + 1/√2) ?

A) 5/√3	B) 7/2√3
C) (√2+1)/√2	D) 4/√3

Answer & Explanation Answer: C) (√2+1)/√2

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

The mode of the data 12, 1, 10, 1, 9, 3, 4, 9, 7, 9 is

A) 9	B) 12
C) 1	D) 7

Answer & Explanation Answer: A) 9

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

In a triangle ABC, AD is angle bisector of ∠A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?

A) 150	B) 200
C) 210	D) 240

Answer & Explanation Answer: A) 150

Explanation:

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Filed Under: Volume and Surface Area
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 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

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

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Q:

The simple interest on a sum for 5 years is Rs 16800. The rate of interest for the first 3 years is 8% per annum and for the next 2 years is 12% per annum. What is the value (in Rs) of sum?

A) 30000	B) 38000
C) 32000	D) 35000

Answer & Explanation Answer: D) 35000

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

What is the slope of the line 4x - 8y = 3?

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

Quantitative Aptitude - Arithmetic Ability Questions

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