Is it simple!

The 300-digit numbers with all equal digits is

only divisible by 37 divisible by 101 only divisible by both 37&101 divisable by neithet 37 nor 101

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3 solutions

Samir Rana
Mar 13, 2015

It's simple.. as we know 37 3 = 111 37*3=111 And Any number containing multiple of three time 1 1 is dividable by 111 111 is also dividable by 37 37 . And then given number divided by 37 37 . Similarly 101 11 = 1111 101*11=1111 And any number containing multiple of four time 1 1 Is dividable by 1111 1111 . So this number is also divided by botha 37 37 And 101 101 .

Every three digit number with same digit is divisible by 111 .and 300 is divisible by 3. So the number is divisible by 111.

To be frank, I just guessed.

You may be an astrologer in future

Aritra Chakraborty - 6 years, 3 months ago

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Actually I cudn't figure out how 2 solve it. Can u explain me d proper way ?

Mayukh Chakrabarty - 6 years, 3 months ago

Sorry dont mind

Aritra Chakraborty - 6 years, 3 months ago

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Not at all. It was a good joke.

Mayukh Chakrabarty - 6 years, 3 months ago

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Can you under stand this

Aritra Chakraborty - 6 years, 3 months ago

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@Aritra Chakraborty sorry . i didn't get u.

Mayukh Chakrabarty - 6 years, 3 months ago

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@Mayukh Chakrabarty Every number with number of digit 3n with same digit is divisible by 111. You can try this in trial and error method . You get the answer.

Aritra Chakraborty - 6 years, 3 months ago

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@Aritra Chakraborty Thnx . It helped me a lot.

Mayukh Chakrabarty - 6 years, 3 months ago

@Aritra Chakraborty What if 2 is written 300 times then it is not divisible by 37

Aman Real - 6 years, 2 months ago

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