Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a weighing machine…
2025
Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a weighing machine they try to find their weights.When Akhilesh stands on the machine, without his knowledge Bernard also climbs the machine and the weight shown was 132kg. When Bernard stands, without his knowledge Catherine also stands on the machine and the machine shows 130 kg. Similarly the weight of Catherine and Dinesh is found as 102 kg and that of Bernard and Dinesh is 116 kg. What is the weight of Dinesh?
- A.
44 kg
- B.
58 kg
- C.
78 kg
- D.
Cannot be determined from the given information
Attempted by 170 students.
Show answer & explanation
Correct answer: A
Solution: Let A, B, C and D denote the weights (in kg). Given the following pair sums:
A + B = 132, B + C = 130, C + D = 102, B + D = 116.
Add the equations C + D and B + D: (C + D) + (B + D) = 102 + 116 ⇒ B + C + 2D = 218.
Substitute B + C = 130 into that result: 130 + 2D = 218 ⇒ 2D = 88 ⇒ D = 44 kg.
Therefore, Dinesh's weight is 44 kg.