Multiple choice

The average weight of P, Q and R is 55 kg. If the average weight of P and Q is 50 kg and that of Q and R is 42 kg, then the weight of Q is

  1. 21 kg

  2. 19 kg

  3. 29 kg

  4. 34 kg

  5. NA
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

P+Q+R = 55 * 3 = 165. P+Q = 50 * 2 = 100. Q+R = 42 * 2 = 84. (P+Q) + (Q+R) = 100 + 84 = 184. (P+Q+R) + Q = 184. 165 + Q = 184. Q = 19.

AI explanation

The total weight of P, Q and R is 3 multiplied by 55, which equals 165 kg. The total weight of P and Q is 2 multiplied by 50, which is 100 kg, and the total weight of Q and R is 2 multiplied by 42, which is 84 kg. The sum of the weights of (P and Q) and (Q and R) is 100 plus 84, giving 184 kg. Subtracting the combined weight of all three from this sum gives the weight of Q, so 184 minus 165 equals 19 kg.

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