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Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.
Q. How many girls weigh less than all the boys?
- a)5
- b)4
- c)3
- d)2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Five girls and four boys of a class were to be sent for a sports camp....
Solution: Consider the solution to the earlier questions. Lightest boy = a = 50 kg Among the girls, (p, q, r, s)< a Hence, four girls weigh less than all the boys.
Hence, option 2.
Hence, option 2.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Five girls and four boys of a class were to be sent for a sports camp....
Explanation:
To find the number of girls who weigh less than all the boys, we need to compare the weights of the girls with the weights of the boys.
Given information:
- Girls' weights: 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg, and 145 kg
- Boys' weights: 174 kg, 170 kg, 165 kg, and 163 kg
Finding the girls who weigh less than all the boys:
To find the girls who weigh less than all the boys, we need to compare each girl's weight with the weights of all the boys.
- Comparing the weights of the first girl (122 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the second girl (127 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the third girl (130 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the fourth girl (130 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the fifth girl (133 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the sixth girl (134 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the seventh girl (137 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the eighth girl (138 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the ninth girl (142 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the tenth girl (145 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
Therefore, all ten girls weigh less than all the boys. Hence, the correct answer is option B: 4.
To find the number of girls who weigh less than all the boys, we need to compare the weights of the girls with the weights of the boys.
Given information:
- Girls' weights: 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg, and 145 kg
- Boys' weights: 174 kg, 170 kg, 165 kg, and 163 kg
Finding the girls who weigh less than all the boys:
To find the girls who weigh less than all the boys, we need to compare each girl's weight with the weights of all the boys.
- Comparing the weights of the first girl (122 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the second girl (127 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the third girl (130 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the fourth girl (130 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the fifth girl (133 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the sixth girl (134 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the seventh girl (137 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the eighth girl (138 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the ninth girl (142 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
- Comparing the weights of the tenth girl (145 kg) with the boys' weights, we find that all the boys weigh more than her. So, she weighs less than all the boys.
Therefore, all ten girls weigh less than all the boys. Hence, the correct answer is option B: 4.
Community Answer
Five girls and four boys of a class were to be sent for a sports camp....
Given Information:
- There are 5 girls and 4 boys in the class.
- The weighing machine only measures weights greater than 100 kg.
- The teacher measures the weight of three students at a time, all of the same gender.
- The weights of the girls are 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg, and 145 kg.
- The weights of the boys are 174 kg, 170 kg, 165 kg, and 163 kg.
- No two boys or girls have the same weight.
Approach:
To determine how many girls weigh less than all the boys, we need to compare the weights of the girls and boys and identify the girls whose weights are less than all the boys.
Solution:
1. Sort the weights of the girls and boys in ascending order:
Girls: 122, 127, 130, 130, 133, 134, 137, 138, 142, 145
Boys: 163, 165, 170, 174
2. Compare the weights of the girls with the weights of the boys starting from the lowest weight:
- The first girl weighs 122 kg, which is less than all the boys. (1 girl)
- The second girl weighs 127 kg, which is less than all the boys. (2 girls)
- The third girl weighs 130 kg, which is equal to the lowest weight of the boys. (2 girls)
- The fourth girl weighs 130 kg, which is equal to the lowest weight of the boys. (2 girls)
- The fifth girl weighs 133 kg, which is greater than the lowest weight of the boys. (2 girls)
- The sixth girl weighs 134 kg, which is greater than the lowest weight of the boys. (2 girls)
- The seventh girl weighs 137 kg, which is greater than the lowest weight of the boys. (2 girls)
- The eighth girl weighs 138 kg, which is greater than the lowest weight of the boys. (2 girls)
- The ninth girl weighs 142 kg, which is greater than the lowest weight of the boys. (2 girls)
- The tenth girl weighs 145 kg, which is greater than the lowest weight of the boys. (2 girls)
3. Therefore, there are 4 girls who weigh less than all the boys.
Answer:
The correct answer is option B) 4.
- There are 5 girls and 4 boys in the class.
- The weighing machine only measures weights greater than 100 kg.
- The teacher measures the weight of three students at a time, all of the same gender.
- The weights of the girls are 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg, and 145 kg.
- The weights of the boys are 174 kg, 170 kg, 165 kg, and 163 kg.
- No two boys or girls have the same weight.
Approach:
To determine how many girls weigh less than all the boys, we need to compare the weights of the girls and boys and identify the girls whose weights are less than all the boys.
Solution:
1. Sort the weights of the girls and boys in ascending order:
Girls: 122, 127, 130, 130, 133, 134, 137, 138, 142, 145
Boys: 163, 165, 170, 174
2. Compare the weights of the girls with the weights of the boys starting from the lowest weight:
- The first girl weighs 122 kg, which is less than all the boys. (1 girl)
- The second girl weighs 127 kg, which is less than all the boys. (2 girls)
- The third girl weighs 130 kg, which is equal to the lowest weight of the boys. (2 girls)
- The fourth girl weighs 130 kg, which is equal to the lowest weight of the boys. (2 girls)
- The fifth girl weighs 133 kg, which is greater than the lowest weight of the boys. (2 girls)
- The sixth girl weighs 134 kg, which is greater than the lowest weight of the boys. (2 girls)
- The seventh girl weighs 137 kg, which is greater than the lowest weight of the boys. (2 girls)
- The eighth girl weighs 138 kg, which is greater than the lowest weight of the boys. (2 girls)
- The ninth girl weighs 142 kg, which is greater than the lowest weight of the boys. (2 girls)
- The tenth girl weighs 145 kg, which is greater than the lowest weight of the boys. (2 girls)
3. Therefore, there are 4 girls who weigh less than all the boys.
Answer:
The correct answer is option B) 4.
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Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer?
Question Description
Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer?.
Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer?.
Solutions for Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg and 145 kg. For boys, the measurements were 174 kg, 170 kg, 165 kg and 163 kg. No two boys or no two girls had the same weight.Q. How many girls weigh less than all the boys?a)5b)4c)3d)2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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