Application Based Questions
1. Replace # in the number 178# by the smallest possible digit so that it is divisible by 6.
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divisibility rule of 6
has to be divisible by 2 and 3
divisibility rule of 2
last digit should be a even number
so '#' should be a even number
divisibility rule of 3
sum of the digits should come in 3 tables
1 + 7 + 8 = 16
16 is not divisible by 3
but it is divisible by 2
if '#' was 0 then 1+7+8+0=16
16 is not divisible by 3
if '#' was 2 then 1+7+8+2=18
18 is divisible by 3 and 2
∴ '#' should be 2
number = 1782
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