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Numbers-Data Intensity 1 :: Discussion

32.	(51 + 52 + 53 + ... + 100) = ?
	A.	2525
	B.	2975
	C.	3225
	D.	3775

Answer: Option D

Explanation:

S_n = (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100) - (1 + 2 + 3 + ... + 50)

=	100	x (1 + 100) -	50	x (1 + 50)
	2		2

= (50 x 101) - (25 x 51)

= (5050 - 1275)

= 3775.

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Published by:Michael Daani

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