A) 1121
B) 3210
C) 3121
D) 1520
Correct Answer: C
Solution :
Natural numbers between 100 and 200. |
101, 102, .... 199 Either divide by 7 or divide by 13. |
(sum of numbers (divide by 7) + (sum of number divide by 13) - (sum of number of divide by 91) |
\[\sum\limits_{r=1}^{14}{(98+7r)}+\sum\limits_{r=1}^{8}{(91+13r)}-(182)\] |
\[=\left( 98\times 14+7.\frac{14\times 15}{2} \right)+\left( (91\times 8)+13\times \frac{8\times 9}{2} \right)-182\] |
\[=1372+735+728+468-182=3121.\] |
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