Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weighs 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct ar

examrobotsa's picture

Submitted by examrobotsa on

Q: 150 (IAS/1999)
Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weighs 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in the ascending order of their weights is

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,0,9,2,5,2,0

keywords: 

{'combined weight': [0, 1, 0, 0], 'weights': [1, 2, 1, 3], 'amar': [0, 1, 0, 0], 'anthony': [0, 1, 0, 0], 'akbar': [7, 4, 6, 2], 'matron farah': [0, 1, 0, 0], 'kg': [0, 1, 9, 24], 'farah': [0, 1, 0, 0], 'correct arrangement': [0, 2, 1, 1], 'ascending order': [0, 1, 1, 0], 'persons': [4, 4, 9, 10]}

The question revolves around the relative weights of four people: Amar, Akbar, Anthony, and Farah.

In option 1, according to this order, Amar should be the heaviest, but the question says Anthony weighs 25% less than Amar, meaning Anthony should weigh less than Amar, making this option incorrect.

Option 2 elevates Farah to be heavier than Amar which contradicts with the information given in the question that Farah weighs only a third of the combined weight of the boys, so it is incorrect.

Option 3 places Amar before Farah, which contradicts the fact that Farah weighs less than the combined total of the boys.

Only option 4 aligns correctly with the information from the question: Akbar, then Anthony (who weighs 25% less than Amar), then Farah who weighs a third of the total weight of the boys, and finally Amar who is the heaviest of the individuals. Hence, option 4 is the correct answer.