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0 votes
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in Mathematics by (52.4k points)

Find the sum of all integers of 3 digits that are divisible by 11. 

(a) 49,335 

(b) 41,338 

(c) 44,550 

(d) 47,300

1 Answer

+1 vote
by (48.5k points)
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Best answer

Correct option(c) 44,550

Explanation:

The required sum would be given by the sum of the series 110, 121, 132, .... 990. The number of terms in this series = (990 − 110)/11 + 1 = 80 + 1 = 81. 

The sum of the series = 81 × 550 (average of 110 and 990) = 44,550.

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