The average height of 41 telecom towers which are arranged in an ascending order is 278 m. If the average height of first 20 telecom towers is 278 m and that of last 20 telecom towers is 278 m, then what is the height of 21st telecom tower? (In m)

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  1. 298
  2. 278
  3. 288
  4. 268

Answer (Detailed Solution Below)

Option 2 : 278
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Detailed Solution

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Given:

Average of 41 towers = 278 m

Average of 1st 20 towers = 278 m

Average of last 20 towers = 278 m

Concept used:

Calculation:

Average of 1 to 20 =  ----- (1)

Average of 1 to 20 = 5560

Average of 21 to 41 =  ----- (2)

Average of 21 to 41 = 5560

From the given data, towers are arranged in ascending order

⇒  ----- (3)

Substitute (1) and (2) in (3)

 278 × 41 = 5560 + 5560 + 21st

 11398 = 11120 + 21st

 21st = 11398 - 11120

 21st = 278

The height of 21st telecom tower is 278m.

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