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The average height of 39 telecom towers which are arranged in an ascending order is 282 m. If the average height of first 19 telecom towers is 280 m a
Question

The average height of 39 telecom towers which are arranged in an ascending order is 282 m. If the average height of first 19 telecom towers is 280 m and that of last 19 telecom towers is 284 m, then what is the height of 20th telecom tower? (In m)

A.

272

B.

282  

C.

262

D.

292

Correct option is B

Average height of 39 towers = 282 m

Total height of 39 towers
= 39 × 282
= 10998 m

Average of first 19 towers = 280 m
Total = 19 × 280
= 5320 m

Average of last 19 towers = 284 m
Total = 19 × 284
= 5396 m

Height of 20th tower
= 10998 − (5320 + 5396)
= 10998 − 10716
= 282 m

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