Question

if the eight digit number 2575d568 is divisible by 54and 87 the value of d is ??​

Answer 1

54 = 2×3×3×3=2×3^3

87 = 3 ×29

The eight digit number 25,75d,568 must be divisible by 2 , 27 and 29.

So as to make it divisible by 27, it must be divisible by 3 at least.

From the divisibility rule for 3, the total of the digit must be divisible by 3.

Hence, 2 + 5 + 7 + 5 + d + 5 + 6 + 8 = 38 + d

d must be a single digit. So,

d = 1, 4 or 7.

But , if d = 1 and 4 then 25751568 and 25754568 are not divisible by 29.

Hence (d = 7)

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