6500+ Quantitative Aptitude Questions and Answers With Explanation

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
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0 3275

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 3272

Q:

If cost price of an article is 75% of its selling price, then what will be the profit percentage?

A) 23.47	B) 25
C) 33.33	D) 20

Answer & Explanation Answer: C) 33.33

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams , GATE
Job Role: Bank Clerk , Bank PO

7 3268

Q:

What least number must be substracted from 627349 so that the remaining number is divisible by 15 ?

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

Answer & Explanation Answer: D) 4

Explanation:

On dividing 627349 by 15, we get remainder = 4.
Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.
Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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5 3264

Q:

Solve this inequality 3p - 16 < 20?

A) p >= 12	B) p <= 11/3
C) p < 12	D) p > 11/3

Answer & Explanation Answer: C) p < 12

Explanation:

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.

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Filed Under: Simplification
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4 3261

Q:

A showroom on its anniversary gives a discount of 18% on marked price of bikes. Raghuram purchases a bike in Rs. 54,540. What is the marked price of bike?

A) Rs. 63548	B) Rs. 66512
C) Rs. 65000	D) Rs. 67857

Answer & Explanation Answer: B) Rs. 66512

Explanation:

The discount offered by showroom = 18%

Raghu purchased at Rs. 54540

Then,

The marked price is given by

54540 x 100/82

=~ Rs. 66,512

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Filed Under: Percentage
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7 3259

Q:

If the 14th September of an year is a Tuesday, then which day of the week will the 17th October of the same year be?

A) Thursday	B) Saturday
C) Sunday	D) Monday

Answer & Explanation Answer: C) Sunday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

14 3256

Q:

Other things being equal, would an investor prefer an interest rate of 10.5% compounded monthly or 11% compounded annually for a two-year investment?

A) 1232	B) 1243
C) 1254	D) 1262

Quantitative Aptitude - Arithmetic Ability Questions

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