Question

If the number 314a298 is divisible by 11 and a is a digit, find the value of a.​

Answer 1

Answer:

Answer

It is given that, y3y6 is divisible by 11

So, by divisibility test of 11 difference of alternative sum of digits must be multiple of 11

Therefore we get (1+3+6)−(y+y)=0,11,22

⇒ 10−2y=0,11,22

⇒ 10−2y=0, because for all other options y is negative.

⇒ 2y=10

⇒ y=5

So, number is 15356