Question

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

• A. $27$
• B. $29$
• C. $30$
• D. $32$

Answer 1

The correct option is B $29$

Mean of 11 number=35

Sum of 11 number$=35\times 11=385$

Mean of first 6 number=32

Sum of 6 number$=32\times 6=192$

Mean of last 6 number=37

Sum of 6 number$=37\times 6=222$

$\therefore Sixthnumber=(192+222)-385$

$\Rightarrow 414-385=29$