The mean of five numbers is $27$ . If one of the numbers is excluded, the mean gets reduced by $2.$ Find the excluded number.

35

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27

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25

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40

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Solution

The correct option is C $35$
Mean of $5$ number $= 27.$
If $1$ of the numbers is excluded,

Therefore $M^{'} = M - 2 = 27 - 2 = 25 * 4 = 100$
$M = 27 * 5 = 135$

Excluded number $= 135 - 100 = 35.$

Therefore, the answer is $35.$

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