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Question

Question: If<img src="https://cdn.pureessence.tech/canvas_362.png?top_left_x=300&top_left_y=1329&width=300&hei...

If, then the value ofnn is.

A

35

B

36

C

37

D

40

Answer

35

Explanation

Solution

We have

n2[6+(n1)2]102[10+(101)3]=7n(2n+4)10×37=7\Rightarrow \frac { \frac { n } { 2 } [ 6 + ( n - 1 ) 2 ] } { \frac { 10 } { 2 } [ 10 + ( 10 - 1 ) 3 ] } = 7 \Rightarrow \frac { n ( 2 n + 4 ) } { 10 \times 37 } = 7

\Rightarrow n2+2n1295=0(n+37)(n35)=0n ^ { 2 } + 2 n - 1295 = 0 \Rightarrow ( n + 37 ) ( n - 35 ) = 0

Hence n=35n = 35.