Multiple choice

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly with the following given options. (a) Quantity I > Quantity II (b) Quantity I < Quantity II (c) Quantity I ≥ Quantity II (d) Quantity I ≤ Quantity II (e) Quantity I = Quantity II or No relation Quantity I: The average weight of A and B is 50 kg, average weight of B and C is 45 kg and average weight of C and A is 55 kg. The weight of A. Quantity II: 45 kg

  1. a

  2. b

  3. c

  4. d

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

(A+B)/2 = 50 -> A+B = 100. (B+C)/2 = 45 -> B+C = 90. (C+A)/2 = 55 -> C+A = 110. Adding these: 2(A+B+C) = 300 -> A+B+C = 150. A = 150 - (B+C) = 150 - 90 = 60. Quantity I (60) > Quantity II (45).

AI explanation

From the given averages, the sums of weights are 100 kg for A and B, 90 kg for B and C, and 110 kg for C and A. Adding these three sums gives a total of 300 kg, which represents twice the combined weight of A, B, and C; dividing by 2 yields their combined weight of 150 kg. Subtracting the 90 kg combined weight of B and C from 150 kg leaves A weighing 60 kg; since 60 kg is greater than 45 kg, Quantity I is greater than Quantity II.

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