Which digit(s) should be filled in the box so that 114 O 367 is divisible by 33?
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- 8 is the smallest digit which should be filled in the blank so that 114_367 is divisible by 33.
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Divisibility rule for 11: The difference of sum of digits in odd positions and the sum of digits in even positions should be a multiple of 11.
(a + a) - (b + a) = 0/11
a - b = 0/11
=> a - b = 0 (a and b are single digit numbers)
=> a = b
Therefore, the number is of the form aaaa.
aaaa is divisible by 3.
Three such numbers 3333, 6666 and 9999 are possible.
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