Multiple choice

The average weight of 3 students P, Q and R is 84kg. Another student S joins the group and the average becomes 80kg. If another man T whose weight is 3kg more than that of S, replaces P, then the average weight of Q, R, S and T becomes 79 kg then the weight of P is

  1. 75

  2. 82

  3. 45

  4. 98

  5. 88
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

P + Q + R = 3 × 84 = 252kg. When S joins: P + Q + R + S = 4 × 80 = 320kg. Therefore S = 320 - 252 = 68kg. T's weight = S + 3 = 71kg. Q + R + S + T = 4 × 79 = 316kg. So Q + R = 316 - (68 + 71) = 177kg. Then P = (P + Q + R) - (Q + R) = 252 - 177 = 75kg. Option A is correct.

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