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Which of the numbers below is exactly divisible by 33?
Question

Which of the numbers below is exactly divisible by 33?

A.

25080

B.

27441

C.

19679

D.

73205

Correct option is A

​Given:

Check divisibility by 33
33 = 3 × 11

Concept used:

Rule for divisibility by 3:

Sum of digits is divisible by 3.

Rule for divisibility by 11:

Difference between the sum of alternating digits is divisible by 11

Solution:

Check each option:

25080:

Sum of digits=2+5+0+8+0=15 (divisible by 3)\text{Sum of digits} = 2 + 5 + 0 + 8 + 0 = 15 \, (\text{divisible by } 3)​.

Alternating sum:

(2+0+0)(5+8)=213=11 (divisible by 11)(2 + 0 + 0) - (5 + 8) = 2 - 13 = -11 \, (\text{divisible by } 11)​.

Thus, 25080 divisible by 33

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