The divisibility test

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3?


The answer is 28.

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1 solution

Vilakshan Gupta
Feb 19, 2018

Hehe ! Thanks! :)

Btw, are you in class 10 or class 11?

Ojasee Duble - 3 years, 3 months ago

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I will be going in 11th this year (after a month).

Vilakshan Gupta - 3 years, 3 months ago

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All the best for your boards then!

Ojasee Duble - 3 years, 3 months ago

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@Ojasee Duble Thanks, what about you?

Vilakshan Gupta - 3 years, 3 months ago

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@Vilakshan Gupta Even I have my class 10 boards next week

Ojasee Duble - 3 years, 3 months ago

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@Ojasee Duble Isn't it from 6th March (CBSE) ? So you are in ICSE?

Vilakshan Gupta - 3 years, 3 months ago

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@Vilakshan Gupta Actually I have my board Pracs next week. And then written papers are starting from 3rd March. I'm in state board.

Ojasee Duble - 3 years, 3 months ago

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@Ojasee Duble Ok. Best of luck!

Vilakshan Gupta - 3 years, 3 months ago

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