# What will be the least value of x? If

A number x is divisible by 7. When this number is divided by 8, 12 and 16, it leaves a remainder 3 in each case. The least value of x is:

- 150
- 147
- 148
- 149

**Answer: (2) 147**

**Explanation:-**The LCM of 8, 12 and 16,

The factors of 8 = 2 x 2 x 2 ,

The factors of 12 = 2 x 2 x 3,

The factors of 16 = 2 x 2 x 2 x 2.

Then, the LCM of 8, 12 and 16 = 2 x 2 x 2 x 2 x 3

= 48

Required number = 48 k + k where, k = constant

Taken k = 3

Then, 48 x 3 + 3

= 144 + 3

= 147 Which is divisible by 7, 8, 12 and 16.

Hence, the answer is (2) 147.

Answer : (2) 147

Sol.

LCM of 8, 12, 16 = 48

Required Number = 48k + 3 if k = 3

the Number = 48 *3 + 3 = 147