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Question

The sum of all three-digit natural numbers which leave a remainder 2 when divided by 3
  1. 168450
  2. 168850
  3. 165840
  4. None of these

A
168850
B
None of these
C
168450
D
165840
Solution
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The correct option is A 168450
First three digit number leaves remainder 2 is 101
The next being 104,107,110,...…
Last 3 digit number =998
101,104,998
a=101,d=3
nth term 998=a+(n1)d
998=101+(n1)3
(n1)/3=/897299
n=300.
Sn=3002(2(101)+(3001)3)=3002(202+897)
=164850.

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