6500+ Quantitative Aptitude Questions and Answers With Explanation

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 3401

Q:

If 5th September 2008 was a Monday, what day of the week was 9th October 2008?

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

Answer & Explanation Answer: C) Sunday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

21 3400

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 3400

Q:

A,B and C together can finish a task in 7.5 days. C is thrice as productive as A and B alone can do the task in 15 days. In how many days can A and C do the job if B goes on leave?

A) 30	B) 10
C) 20	D) 15

Answer & Explanation Answer: D) 15

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

11 3399

Q:

If 1st January 2013 was Wednesday, then what day of the week was it on 2nd January 2014?

A) Wednesday	B) Thursday
C) Tuesday	D) Friday

Answer & Explanation Answer: D) Friday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

13 3396

Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20	B) 12
C) 8	D) 4

Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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4 3396

Q:

If x / y is an integer, which of the following statements need NOT always be true?

A) both x and y are integers	B) only x is a integer
C) both are negative	D) none

Answer & Explanation Answer: A) both x and y are integers

Explanation:

In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.

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Filed Under: Numbers
Exam Prep: GRE

2 3396

Q:

Calculate the periodic interest rate corresponding to 9.5% compounded monthly

A) 0.7916	B) 0.8916
C) 0.9916	D) 0.6916

Quantitative Aptitude - Arithmetic Ability Questions

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