Mean of 11 numbers is 35 . If mean of first 6 numbers is 32 and that of last 6 numbers is 37, then s

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The mean of $11$ numbers is $35 .$ If the mean of first $6$ numbers is $32$ and that of the last $6$ numbers is $37,$ then find the sixth number.

A

$28$

B

$29$

C

$30$

D

$27$

Solution

Some of all $11$ Number $=35 \times 11=385$

Some of First $6$ Number $=32 \times 6=192$

Some of last $6$ Number $=37 \times 6=222$

Sixth number $=192+222-385=414-385=29$

Standard 13

Quantitative Aptitude

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