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

**41)
The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?
**

- 3
- 6
- 7
- 8

**Answer**- d) 8
**Solution**Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then,

(2n + 3)² - (2n + 1)² = (2n + 3 + 2n + 1) (2n + 3 -2n - 1)

= (4n + 4)* 2 = 8(n + 1), which is divisible by 8.

**42)
If n is a natural number, then (6n**

^{2}+ 6n) is always divisible by :

- 6 only
- 6 and 12 both
- 12 only
- by 18 only

**Answer**- b) 6 and 12 both
**Solution**-
(6n² + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n+1) is always even.

**43)
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided
by 4 ?
**

- 3
- 2
- 1
- 0

**Answer**- b) 2
**Solution**-
Let n=4q + 3. Then, 2n = 8q + 6 = 4(2q + 1) + 2.

Thus, when 2n is divided by 4, the remainder is 2.

**44)
Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
**

- 639
- 2079
- 3791
- 37911
- None Of These

**Answer**- b) 2079
**Solution**-
639 is not divisible by 7.

2079 is divisible by each one of 3, 7, 9, 11.

**45)
A number when divided by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is :
**

- 0
- 1
- 2
- 3

**Answer**- d) 3
**Solution**-
Let x = 6q + 3. Then, x² = (6q + 3)² = 36q² + 36q + 9

6(6q² + 6q + 1) + 3

Thus, when x² is divided by 6, then remainder = 3.