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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The average weight of 24 men is increased by 1.5 kg when a man in the crew whose weight is 50 kg is replaced by a new man. Find the weight of the new man? Quantity B: The average weight of a class of 40 students is 46 kg. If the weight of teacher is included with the students, the new average becomes 47 kg. Find the weight of teacher?

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The average weight of 24 men is increased by 1.5 kg when a man in the crew whose weight is 50 kg is replaced by a new man. Find the weight of the new man? Quantity B: The average weight of a class of 40 students is 46 kg. If the weight of teacher is included with the students, the new average becomes 47 kg. Find the weight of teacher? Correct Answer Quantity A < Quantity B

Quantity A:

New man’s weight = Replaced man’s weight + Total no. of men × increment

⇒ New man’s weight = 50 + 24 × 1.5 = 50 + 36 = 86 kg

Quantity B:

Sum of weight of teacher and students = New avg. × (No. of students + teacher) - Existing avg. × No. of students = 47 × 41 – 46 × 40 = 1927 – 1840 = 87 kg

∴ Quantity A < Quantity B

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