Multiple choice

The average body weights of 4 men A, B, C and D is 50 kg. Decide whether the data given in the statements I, II and III is sufficient to find the individual body weights of B and D. I. The weight of A is 65 kg and that of C is 45 kg. II. The sum of the weights of B and D is 90 kg. III. D has the least weight compared to A, B and C.

  1. Data in I and II is sufficient.

  2. Data in II and III is sufficient.

  3. Data in I, II and III sufficient.

  4. Data in I, II and III is not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Average of 4 = 50, so sum = 200. A+B+C+D = 200. I: A=65, C=45. B+D = 200 - 65 - 45 = 90. II: B+D = 90. III: D is least. Even with all, we only know B+D=90 and D is smaller than A, B, C, but we cannot isolate B or D individually.

AI explanation

From the given average, the total weight of the four men is 4 multiplied by 50, which is 200 kg. Statement I gives the weights of A and C as 65 kg and 45 kg, and statement II states the sum of the weights of B and D is 90 kg, which is consistent with the total but only provides their combined weight. Because there is no information to differentiate between the individual weights of B and D, all three statements combined are not sufficient.

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