# What will be the Number? If

The least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38 respectively is

- 3448
- 3482
- 2468
- 3265

**Answer: (2) 3482.
Explanation:-**

The LCM of 35, 45, 55

35 = 5 x 7

45 = 3 x 3 x 5

55 = 5 x 11

The LCM = 3 x 3 x 5 x 7 x 11 = 3465

Remainders = 18, 28, 38

difference = 35 – 18 = 17, 45 – 28 = 17, 55 – 38 = 17

So, the number is 3465 + 17 = 3482.

Hence, the answer is (2) 3482.