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The average o...

Question

The average of 20 numbers is 12. The average of the first 12 numbers is 11 and that of the next 7 numbers is 10. The last number is

A

40

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B

38

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C

48

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D

50

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Solution

The correct option is B 38
Sum of 20 numbers $= 20 \times 12 = 240$
Sum of first 12 numbers $= 11 \times 12 = 132$
Sum of next 7 numbers $= 10 \times 7 = 70$
$∴$ Last number $= 240 - (132 + 70) = 240 - 202 = 38$

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