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A, B, C, D, E, F, and G are seven weightlifters. Each of them takes a day off from the gym on one of the different days of the week, which starts from Monday and ends on Sunday. Additionally, each weightlifter has a different height, with measurements of 165 cm, 169 cm, 170 cm, 172 cm, 174 cm, 176 cm, and 179 cm. They also have different weights, which are 60 kg, 64 kg, 65 kg, 68 kg, 70 kg, 72 kg, and 75 kg. The heights and weights may not correspond to each other in the same order.The further information is also known that:(i) The weight difference between the weightlifters who take a day off from gym on Monday and Friday is 1 kg.(ii) A is 169 cm tall and took a day off from gym on Thursday. F is 179 cm tall.(iii) C weighs 68 kg and he takes a day off from gym on a day after Thursday. There are only two weightlifters who take a day off from gym between C and D.(iv) G is 174 cm tall and weighs 2 kg less than D, who takes a day off from gym immediately after B.(v) E takes a day off from gym immediately before the individual who is 170 cm tall and has the lowest weight. The person who is 165 cm tall takes a day off from gym on Monday.Question No 42.Which weightlifter takes a day off from the gym on Friday?1)  F2)  E3)  G4)  C

Question

A, B, C, D, E, F, and G are seven weightlifters. Each of them takes a day off from the gym on one of the different days of the week, which starts from Monday and ends on Sunday. Additionally, each weightlifter has a different height, with measurements of 165 cm, 169 cm, 170 cm, 172 cm, 174 cm, 176 cm, and 179 cm. They also have different weights, which are 60 kg, 64 kg, 65 kg, 68 kg, 70 kg, 72 kg, and 75 kg. The heights and weights may not correspond to each other in the same order.The further information is also known that:(i) The weight difference between the weightlifters who take a day off from gym on Monday and Friday is 1 kg.(ii) A is 169 cm tall and took a day off from gym on Thursday. F is 179 cm tall.(iii) C weighs 68 kg and he takes a day off from gym on a day after Thursday. There are only two weightlifters who take a day off from gym between C and D.(iv) G is 174 cm tall and weighs 2 kg less than D, who takes a day off from gym immediately after B.(v) E takes a day off from gym immediately before the individual who is 170 cm tall and has the lowest weight. The person who is 165 cm tall takes a day off from gym on Monday.Question No 42.Which weightlifter takes a day off from the gym on Friday?1)  F2)  E3)  G4)  C

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Solution

To solve this question, we need to arrange the given information in a table or a chart.

Let's start with the information that is directly given:

  • A is 169 cm tall and took a day off from gym on Thursday.
  • F is 179 cm tall.
  • C weighs 68 kg and he takes a day off from gym on a day after Thursday.
  • G is 174 cm tall and weighs 2 kg less than D.
  • The person who is 165 cm tall takes a day off from gym on Monday.

From these, we can infer that:

  • Since C takes a day off after Thursday and there are only two weightlifters who take a day off from gym between C and D, D must take a day off on Monday, Tuesday, or Wednesday. But since the person who is 165 cm tall takes a day off on Monday, D cannot take a day off on Monday. Therefore, D must take a day off on Tuesday or Wednesday.
  • Since D takes a day off immediately after B, B must take a day off on Monday or Tuesday. But since the person who is 165 cm tall takes a day off on Monday, B cannot take a day off on Monday. Therefore, B must take a day off on Tuesday, and D must take a day off on Wednesday.
  • Since E takes a day off immediately before the individual who is 170 cm tall, E cannot take a day off on Monday. Therefore, E must take a day off on Sunday, Tuesday, Wednesday, or Thursday. But since B and D take a day off on Tuesday and Wednesday, and A takes a day off on Thursday, E cannot take a day off on these days. Therefore, E must take a day off on Sunday.
  • Since the weight difference between the weightlifters who take a day off from gym on Monday and Friday is 1 kg, the weightlifters who take a day off on these days must be either 60 kg and 61 kg, 64 kg and 65 kg, or 70 kg and 71 kg. But since C weighs 68 kg and takes a day off after Thursday, the weightlifters who take a day off on Monday and Friday cannot be 70 kg and 71 kg. Therefore, the weightlifter who takes a day off on Friday must be 60 kg or 65 kg.
  • Since G weighs 2 kg less than D, and the weights are all different, D cannot weigh 60 kg or 64 kg. Therefore, the weightlifter who takes a day off on Friday cannot be 65 kg. Therefore, the weightlifter who takes a day off on Friday must be 60 kg.

From all these inferences, we can conclude that the weightlifter who takes a day off from the gym on Friday is F. So, the answer is 1) F.

This problem has been solved

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