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  1. The sum of all the natural numbers from 51 to 100 is
    1. 5050
    2. 4275
    3. 4025
    4. 3775
Correct Option: D

As we know that the sum of N natural Numbers 1 + 2 + 3 ........ + n

S =
n ( n + 1)
2

Given in the question,
∴  51 + 52 + ..... + 100
We can write as below
⇒  51 + 52 + ..... + 100 = (1 + 2 + 3 + 4 + 5 + ............ + 100) – ( 1 + 2 + 3 +..........+ 50)
=
100 × 101
50 × 51
22

= 5050 – 1275 = 3775



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