The sum of all natural numbers from 75 to 97 is -
A. 1598
B. 1798
C. 1958
D. 1978
Answer: Option D
Solution(By Examveda Team)
The sum of all natural numbers upto 97 - sum of all natural numbers upto 74sum of n natural numbers
$$\eqalign{ & = \frac{{n\left( {n + 1} \right)}}{2}\,\,\left( {{\text{Formula}}} \right) \cr & = \frac{{97 \times 98}}{2} - \frac{{74 \times 75}}{2} \cr & = 4753 - 2775 \cr & = 1978 \cr} $$
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Comments ( 2 )
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
@aditi we need to deduct total of all natural numbers till 74 from total of all natural numbers till 97. Hence, to find that total we have once taken n as 97 and once as 74.
In the above solved question, why are you taking 74 as n?