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SSC GD Constable 2021 · Question 53 of 377

Three persons start a morning walk together. Their steps measure 70 cm, 75 cm and 80 cm, respectively. What is the minimum distance each should walk, so that all of them can cover the same distance in complete steps?

time-work

  1. A8800 cm
  2. B8400 cmCorrect
  3. C6400 cm
  4. D8000 cm

Answer: B. 8400 cm

Explanation

Given: Three persons start a morning walk together and their step measure 70cm, 75cm, and 80cm respectively. Calculation: Their steps measure 70cm, 75cm, and 80cm respectively Minimum distance covered by each = LCM(70, 75, 80) For LCM ⇒ 70 = 2 × 5 × 7 ⇒ 75 = 3 × 5 2 ⇒ 80 = 2 4 × 5 Now, LCM = 2 4 × 5 2 × 3 × 7 = 8400 So, the minimum distance covered by each is 8400cm.

Source: SSC GD Constable 2021 Prev. Year Paper (2021-11-30 Shift 1) English — Prepp (with solutions) · reliable-secondary

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