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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. What is the difference in the weights of the second heaviest boy and the  second lightest girl?
  • a)
    14 kg
  • b)
    15 kg
  • c)
    18 kg
  • d)
    20 kg
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Five girls and four boys of a class were to be sent for a sports camp....
Solution: Consider the solution to the first question. p < q < r < s < t and a < b <c <d Consider the boys. a+ b+ c< a + b + d < a + c+ d < b+ c+ d
a + b + c = 163 ; a + b + d = 165 ;a + c + d = 170 and b + c + d = 1 7 4 From the earlier solution, a + b + c + d = 224 ... (i) Hence, subtracting each of the above equations from (i), a = 50, b = 54, c = 59 and d = 61 
Similarly, consider the combinations for the girls.
The three lightest girls will have the least total and the three heaviest girls will have the greatest total. p + q + r = 122 and r + s + t = 145 Adding the two equations above, (p + q + r  + s + t ) + r = 122 + 145
Considering the total weight of the girls as obtained in the earlier question, 223 + r = 267 r = 44.  p + q = 78 and s + t = 101. 
Considering the eight remaining combinations, it can be said that the second lowest sum is for p + q + s. p + q + s = 127. So  s = 127 - 78 = 49, t = 101 - 4 9 = 52 Similarly, the second highest sum is from q + s + t. q + s + t = 142. q= 142- 101 = 41 ... p = 78 - 41 = 37. Second heaviest boy ~ Second lightest girl = c - q = 59 - 41 = 18 kg 
Hence, option 3.
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Most Upvoted Answer
Five girls and four boys of a class were to be sent for a sports camp....
To solve this problem, we need to find the second heaviest boy and the second lightest girl and then calculate the difference in their weights.

Finding the second heaviest boy:
- The weights of the boys are 174 kg, 170 kg, 165 kg, and 163 kg.
- Sorting these weights in descending order, we get 174 kg, 170 kg, 165 kg, and 163 kg.
- The second heaviest boy is 170 kg.

Finding the second lightest girl:
- 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.
- Sorting these weights in ascending order, we get 122 kg, 127 kg, 130 kg, 130 kg, 133 kg, 134 kg, 137 kg, 138 kg, 142 kg, and 145 kg.
- The second lightest girl is 127 kg.

Calculating the difference:
- The second heaviest boy weighs 170 kg and the second lightest girl weighs 127 kg.
- The difference in their weights is 170 kg - 127 kg = 43 kg.

Therefore, the difference in the weights of the second heaviest boy and the second lightest girl is 43 kg.

Answer: c) 18 kg.
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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. What is the difference in the weights of the second heaviest boy and the second lightest girl?a)14 kgb)15 kgc)18 kgd)20 kgCorrect answer is option 'C'. Can you explain this answer?
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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. What is the difference in the weights of the second heaviest boy and the second lightest girl?a)14 kgb)15 kgc)18 kgd)20 kgCorrect answer is option 'C'. 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. What is the difference in the weights of the second heaviest boy and the second lightest girl?a)14 kgb)15 kgc)18 kgd)20 kgCorrect answer is option 'C'. 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. What is the difference in the weights of the second heaviest boy and the second lightest girl?a)14 kgb)15 kgc)18 kgd)20 kgCorrect answer is option 'C'. Can you explain this answer?.
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