6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

5 + 2 x 10/2 = ?

A) 15	B) 35
C) 10	D) 20

Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 = 10

Now, 5 + 10 = 15.

Hence, 5 + 2 x 10/2 = 15.

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Filed Under: Simplification
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5 3280

Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

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

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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Filed Under: Square Roots and Cube Roots
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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11 3279

Q:

P starts a business with Rs 14000. After 8 months Q joins P with Rs 8000. After 3 years, what will be the ratio of the profit of P and Q?

A) 12 : 5	B) 9 : 4
C) 14 : 9	D) 15 : 8

Answer & Explanation Answer: B) 9 : 4

Explanation:

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Filed Under: Partnership
Exam Prep: Bank Exams

6 3279

Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10	B) 20
C) 40	D) 80

Answer & Explanation Answer: D) 80

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 3277

Q:

Given a principal of $12,000 with a compound amount of $17,631.94 and interest rate of 8% compounded anually,what is the time peroid in years?

A) 3years	B) 4years
C) 5years	D) 6years

Answer & Explanation Answer: C) 5years

Explanation:

M=P(1+i)^n

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
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0 3274

Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1	B) x + 2
C) x + 4	D) x + (x/54)

Answer & Explanation Answer: B) x + 2

Explanation:

Sum of n consecutive natural numbers = n(n+1)/2

Average of n consecutive natural numbers = (n+1)/2

For first 50 average = 51/2 = x

Last 50 average = 55/2 = x+2

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Filed Under: Average
Exam Prep: Bank Exams

2 3272

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

1 3271

Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420	B) 210
C) 70	D) 35

Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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Filed Under: Problems on Numbers
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Quantitative Aptitude - Arithmetic Ability Questions

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