2023 · Q90
Consider the following statements:
- 1The age of F cannot be determined due to insufficient data.
- 2The average weight of D and F is equal to weight of E.
- 3The weight difference is maximum for D and A.
Which of the statements given above are correct?
Elementary MathematicsAlgebra
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3
Explanation
Statement 1 is correct: no condition fixes F's age (only the weight chain reaches F), so it cannot be determined. Statement 2 is correct: the average weight of D and F is (40 + 32)/2 = 36 kg, which is exactly E's weight. Statement 3 is correct: the heaviest cousin is D (40 kg) and the lightest is A (15 kg), so the maximum weight difference 40 − 15 = 25 kg occurs between D and A. All three statements hold, option (D).