NIFT UG 2017 Question Paper with solutions

Question : 69 of 150

Marks: +1, -0

Find the sum of all natural numbers between 100 and 175.

Solution:

101+102+....+174

=(1+2+3+4+....+174)–(1+2+3+....+100)

=\;\;{(174)(175)}/{2}-\;\;{(100×101)}/{2}

=\;\;{30450}/{2}-\;\;{10100}/{2}

=\;\;{20350}/{2}=10175

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