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SSC GD Constable 2021 · Question 157 of 377

If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:

average

  1. A11
  2. B13Correct
  3. C9
  4. D12

Answer: B. 13

Explanation

Given: Average of 5 consecutive odd integers in increasing order is 11 Formula used: Average = Total sum/Number of elements Calculation: Let 5 consecutive odd numbers be a, a + 2, a + 4, a + 6, and a + 8 According to question, a + a + 2 + a + 4 + a + 6 + a + 8 = 5 × 11 ⇒ 5a + 20 = 55 ⇒ 5a = 35 ⇒ a = 35/5 = 7 Now, Last three numbers are 11, 13, 15 Total = 11 + 13 + 15 ⇒ 39 Average = 39/3 = 13 ∴ The average of the last 3 of them is 13.

Source: SSC GD Constable 2021 Prev. Year Paper (2021-11-23 Shift 1) English — Prepp (with solutions) · reliable-secondary

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