CAT Exam  >  CAT Questions  >  Group QuestionAnswer the following question b... Start Learning for Free
Group Question 
Answer the following question based on the information given below.
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 average weight of the nine students?  
  • a)
    50.33 kg
  • b)
    48.22 kg
  • c)
    51.44 kg
  • d)
    49.67 kg
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Solution: Let the weight of the girls, in ascending order (in kgs), be p, q, r, s, t and the weight of the boys, also in ascending order (in kgs), be a, b, c, d.
Thus, p < q < r < s < t and a < b < c < d.
Number of weight combinations for three girls at a time = 5C3 = 10
Hence, the weight combinations for three girls at a time are: p + q + r, p + q + s, p + q + t; p + r+ s, p + r + t, p + s + t, q + r + s , q + r +t , q + s + t and r + s + t.
Addition of all these combinations gives: 6(p + q + r + s + t) Total of all these combinations = 122 + 127 + 130 + 130 + 133 + 134 + 137 + 138 + 142 + 145= 1338 kgs.
6 (p + q + r + s + t) = 1338
Total weight o f the girls = p + g + r + s + t = 1338/ 6 = 223 kgs.
Similarly, for the boys: 3(a + b + c + d ) = 163 + 165 + 170 + 174 = 672
Total weight of the boys = a + b + c + d = 672/3 = 224 kgs. Average weight of the nine students = (223 + 224)/(5 + 4) = 447/9 = 49.67 kgs Hence, option 4.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Average Weight Calculation:
To find the average weight of the nine students, we need to calculate the sum of all their weights and then divide it by the total number of students.

Sum of Weights:
First, let's calculate the sum of weights for the girls and boys separately.

For girls:
122 kg + 127 kg + 130 kg + 130 kg + 133 kg + 134 kg + 137 kg + 138 kg + 142 kg + 145 kg = 1338 kg

For boys:
174 kg + 170 kg + 165 kg + 163 kg = 672 kg

Total Sum of Weights:
Now, let's calculate the total sum of weights by adding the sum of weights for girls and boys.

1338 kg + 672 kg = 2010 kg

Number of Students:
Since there are nine students in total, we will divide the total sum of weights by nine to find the average weight.

2010 kg / 9 = 223.33 kg

Average Weight:
Therefore, the average weight of the nine students is 223.33 kg.

Correct Answer:
Option D) 49.67 kg
Community Answer
Group QuestionAnswer the following question based on the information g...
Ans must be D
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam
Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer?
Question Description
Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. 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 Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.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 average weight of the nine students? a)50.33 kgb)48.22 kgc)51.44 kgd)49.67 kgCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev