Before Applying job posting in any websites or recruiting agencies or sending resumes to job recruiters or any other employment website you need to improve your skills on general knowledge, Aptitude, Puzzles, logical reasoning, general english, database, programming as per your job profile. Job recruiters or mostly preferring job candidates who are having more stuff in those categories mentioned above. So improving more skills on your job profile always boost up your career and your performance. Even hiring companies and job recruiters who are looking for many job posting websites actually they are looking and filtering on these activities. In these Numbers section you need to update more questions to perform well in front of job recruiters and companies. Numbers Interview questions are most important to score in interview, Update all questions to score well in all rounds in job interview.

# Numbers interview questions and answers

**36)
On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this
number is divided by 5 ?
**

- 0
- 1
- 2
- 4

**Answer**- d) 4
**Solution**Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.

x = 5k + 3 => x²

= (5k + 3)²

= (25k² + 30k + 9)

= 5(5k² + 6 k + 1) + 4

On dividing x² by 5, we get 4 as remainder.

**37)
The difference of two number is 1365. On dividing the large number by the smaller, we get 6 as quotient and 15
as remainder. What is the smaller number ?
**

- 240
- 270
- 295
- 360

**Answer**- b) 270
**Solution**-
Let the smaller number be x. Then larger number = (x + 1365)

x + 1365 = 6x + 15 => 5x = 1350 => x = 270.

Smaller number = 270.

**38)
In a division sum, the remainder is 0. A student mistook the divisor by 12 instead of 21 and obtained 35
as quotient. What is the correct quotient ?
**

- 0
- 12
- 13
- 20

**Answer**- d) 20
**Solution**-
Number = ( 12 * 35) = 420.

Correct Quotient = 420 / 21 = 20.

**39)
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is :
**

- 10
- 11
- 12
- 13

**Answer**- a) 10
**Solution**-
Clearly, (2272 - 875) = 1397, is exactly divisible by N.

Now, 1397 = 11 * 127

The required 3-digit number is 127, the sum of whose digits is 10.

**40)
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
**

- 3
- 4
- 6
- 7

**Answer**- b) 4
**Solution**-
Let the two consecutive even integers be 2n and (2n + 2). Then,

(2n + 2)² - (2n)² = (2n + 2 + 2n) (2n + 2 - 2n)

= 2(4n + 2) = 4(2n + 1), which is divisible by 4.