**Numbers Aptitude Questions & Answers with explanation– Test Paper 7 **

1) Find the largest 4 digit number that is exactly divisible by 66.

- 9987
- 9912
- 9916
- 9966

**Answer:** 4

**Explanation:**

Largest 4-digit number = 9999

So, the number is: 9999 – 33 = 9966.

2) Find the value of the expression:

**1+1/ (1+1/ (1+1/ (1+1 /x)))**

- (7x+3)/(5x+2)
- (3x+3)/(7x+2)
- (5x+3)/(3x+2)
- (11x+3)/(9x+2)

**Answer:** 3

**Explanation:**

Solve (1+1/x) = (x+1)/x, then

1+1/ ((x+1)/x) = (2x+1)/ (x+1), then

1+1/ ((2x+1)/(x+1)) = (3x+2)/ (2x+1), then

1+1/ ((3x+2)/ (2x+1)) = (5x+3)/ (3x+2)

Hence, we get (5x+3)/ (3x+2)

3) Find the number which is completely divisible by 45.

- 306990
- 331145
- 256987
- 181660

**Answer:** 1

**Explanation:**

A number, which is divisible by 3, 5, and 9, is also divisible by 45.

A number is divisible by 3 if the sum of its entire digits is divisible by 3.

A number is divisible by 9 if the sum of its entire digits is divisible by 9.

The number which ends with 0 or 5 is divisible by 5.

The number 306990 fulfils all the requirements, so the answer is 306990.

Also See the test Paper 6

[…] Also See Test Paper 7 […]