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Aptitude · Q36

Simplification

Competitive Exams · Aptitude · question 36

Q36

Given that ( 12 + 22 + 32 + .......... + 102 ) = 385, then the value of ( 22 + 42 + 62 + .......... + 202 ) is equal to = ?

A.
770
B.
1155
C.
1540
Answer
D.
(385)2

Answer: Option C

Solution

Answer: Option C
Solution:
( 22 + 42 + 62 + .......... + 202 )
= 22 ( 12 + 22 + 32 + .......... + 102 )
= 4 × 385
= 1540