21y8 is a multiple of 6 , what is value of y is
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Answer:
2+1+y+8. multiple of 6
11+y. 6,12,18,24.....
11+1
11+7
value of y:1,7
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Step-by-step explanation:
Clearly, 21y8 has an even digit at units place. So, it is a multiple of 2.
Now,
21y8 will be a multiple of 3, if the sum of its digits. is a multiple of 3.
=> 2+1+y+8 is a multiple of 3
=> y+11 is a multiple of 3
=> y+11 = 0,3,6,9,12.......... (i)
But y is a digit. So, y can take values 0,1,2,3,4........,9
=> y+11 = 11,12,13.........,20. (ii)
From (i) and (ii), we have
=> y+11 = 12 or 15 or 18
=> y+11 = 12 or y+11 = 15 or y+11 = 18
=> y = 1 or 4 or 7.
Hence, y can take values 1 or 4 or 7.
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