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:

  1. 150
  2. 147
  3. 148
  4. 149
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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2 Answer(s)

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.

Anurag Mishra Professor Answered on 21st November 2015.
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Answer : (2) 147

Sol.

LCM of 8, 12, 16 = 48

Required Number = 48k + 3 if k = 3
the Number  = 48 *3 + 3 = 147

sujeetstar24 Newbie Answered on 21st November 2015.
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