Question
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is_____________?
Answer: Option D
SUM OF 11 NUMBERS = 11×10.9 = 119.9
SUM OF 1ST 6 NUMBERS = 6×10.5 = 63
SO, SUM OF LAST 5 NUMBERS = 119.9-63 = 56.9
AND SUM OF LAST 6 NUMBERS = 6×11.4 = 68.4
HENCE SIXTH NUMBER WILL BE = 68.4-56.9= 11.5
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SUM OF 11 NUMBERS = 11×10.9 = 119.9
SUM OF 1ST 6 NUMBERS = 6×10.5 = 63
SO, SUM OF LAST 5 NUMBERS = 119.9-63 = 56.9
AND SUM OF LAST 6 NUMBERS = 6×11.4 = 68.4
HENCE SIXTH NUMBER WILL BE = 68.4-56.9= 11.5
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