Multiple choice

What is the average weight of Priya and Sony? Statement I: The average weight of Priya, Sony and Tina is 50 kg. Statement II: The average weight of Priya, Ritu and Sony is 48 kg. Statement III: The average weight of Ritu and Tina is 60 kg.

  1. I and II

  2. II and III

  3. I and III

  4. All I, II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

P+S+T = 150. P+R+S = 144. R+T = 120. We have 3 equations with 4 variables. We need to find (P+S)/2. From 1 and 2, (P+S+T) - (P+S+R) = 150 - 144 = 6, so T-R = 6. Combined with R+T=120, we can solve for T and R. Then we can find P+S. All three statements are required.

AI explanation

To find the sum of Priya and Sony's weights, you can use any two statements that include the weights of Tina and Ritu. From Statement I, the sum of Priya, Sony and Tina is 150 kg, and from Statement III, the sum of Ritu and Tina is 120 kg; however, solving this requires all three statements because Statement II provides the necessary link for Priya, Sony and Ritu. Adding the sums from Statement I (150 kg) and Statement II (144 kg) gives a total of 294 kg, which represents two times Priya's weight, two times Sony's weight, Tina's weight and Ritu's weight. Subtracting Statement III (120 kg) from this total leaves exactly two times the combined weight of Priya and Sony, meaning you can successfully isolate their average using all three statements.

Keep practicing — related questions