The average weight of 15 men is decreased by 2 kg when one of them whose weight is 70 kg is replaced by a new man. What is the weight of the new man?

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UGC NET Paper 1: Held on 11 Oct 2022 Shift 2
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  1. 35
  2. 45
  3. 38
  4. 40

Answer (Detailed Solution Below)

Option 4 : 40
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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Given

The average of 15 men decreased by 2

A 70 kg is replaced by a new man

Formula used

Average = Sum of all values/No. of values

Solution

Let the average of 15 men be x,

and the weight of new man be a.

⇒ 15x - 70 + a = 15(x - 2)

⇒ 15x - 70 + a = 15x - 30

⇒ a = 70 - 30 = 40 kg

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