Discussion

Explanation:

Let x be the value of number removed.

Given, (6 × 12 - x)/5 = 11

⇒ 72 - x = 55

⇒ x = 17.

Alternately,

Had the number removed been same as average (i.e. 12), the average of remaining 5 numbers would not have changed.

Since average of now 5 numbers decreases by 1 ⇒ the total decrease for remaining numbers = 5 × 1 = 5.

This means that the number removed was 5 more than the old average.

⇒ x = 12 + 5 = 17.

Hence, option (d).

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