Question

212y5 is a multiple of 3 and 11. Find the value of y?

Answer 1

Answer:

y=8

Step-by-step explanation:

212y5 is a multiple of 3 and 11.

Divisibility by 11:- the difference between the sum of digits at the even

position and the sum of digits at odd position is 0 or 11

Now,

(2 + 1 + 2 + x + 5 ) = (10+x) is divisible by 3 ......(1)

and (1 + x) - (2 + 2 + 5) = 0 or divisible by 11

x - 8 = 0 or divisible by 11

x = 8 or 8 + multiple of 11  ........(2)

From (1) and (2), we get

y = 8

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