Question:
The sum of all natural numbers ' $n$ ' such that $100
Correct Option: , 4
Solution:
$\because 91=13 \times 7$
Then, the required numbers are either divisible by 7 or 13 .
$\therefore$ Sum of such numbers $=$ Sum of no. divisible by $7+$
sum of the no. divisible by 13 - Sum of the numbers divisible by 91
$=(105+112+\ldots+196)+(104+117+\ldots+195)-182$
$=2107+1196-182$
$=3121$
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