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  • The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7 , isOption: 1 514<str

The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7 , is

Option: 1

514


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

3 digit numbers divisible by either 2 or 3
\mathrm{P}=\mathrm{n}($ divisible by 2$)+\mathrm{n}($ divisible by 3$)-\mathrm{n}($ divisible by 6$)
P=450+300-150
\mathrm{P}=600
\mathrm{Q}=\mathrm{n}($ divisible by 14$)+\mathrm{n}($ divisible by 21$)-\mathrm{n}($ divisible by 42$)
=64+43-21=86
3 digit number divisible by either 2 or 3
But not divisible by -1 so \mathrm{P}-\mathrm{Q}=600-86=514

Posted by

vishal kumar

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