**CBSE NET JANUARY 2017 PAPER II**

How many multiples of 6 are there between the following pairs of numbers?

0 to 100 and

-6 to 34

(1) 16 and 6

(2) 17 and 6

(3) 17 and 7

(4) 16 and 7

**Ans: **(3)

**Explanation:**

This question can be solved using simple logic too.

Number of multiples of 6 between 1 to 100 = 100/6 = 16

Since the range starts from zero, we need to take zero too.

*Note: zero is a multiple of every integer,except zero itself.*

So, answer = 16+1 = 17

Number of multiples of 6 between 1 to 34 = 34/6 = 5

Since the range is -6 to 34, we need to take -6 and zero.

So, answer = 5+2 = 7

So option 3 is correct.