Which number among 34936, 35508, 35580, and 36508 is divisible by 33?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 35508.
Given that
A number among 34936, 35508, 35580 and 36508 is divisible by 33
Concept used
The divisibility rule of 33 = The number should be divided by 3 and 11 both
The divisibility rule of 3 = If the sum of digits of a number is divisible by 3 then the number will be divisible by 3
The divisibility rule of 11 = The difference of even position digits and the odd position digits of a number
is zero or divided by 11 then the whole number will be divisible by 11
Calculation
The number = 34936 = 3 + 4 + 9 + 3 + 6 = 25 i.e not divisible by 3 so this number is not divisible by 33
The number = 35508 = 3 + 5 + 5 + 0 + 8 = 21 i.e. divisible by 3
and (3 + 5 + 8) - (5 + 0) = 16 - 5 = 11 i.e. divisible by 11
Hence, the number 35508 is divisible by 33