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If the mean of 1, 2, 3, … , n is 6n/11, then the value of n is: (a) 10 (b) 12 (c) 11 (d) 13

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If the mean of 1, 2, 3, … , n is \(\frac{6n}{11}\), then the value of n is: 

(a) 10 

(b) 12 

(c) 11

(d) 13

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1 Answer

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(c) 11

The mean of 1, 2, 3,…, n is \(\frac{6n}{11}\)

11(n + 1) = 2 x 6 

11n + 11 = 12n 

∴ n = 11

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