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Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.
What is the weight of the heaviest student?
Correct answer is '100'. Can you explain this answer?
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Verified Answer
Five students went to a doctor for regular checkup. Doctor asked his a...
Let p, q, r, s, t be the weight of 5 students. Let us assume that p < q < r < s < t.
From the information mentioned above.
The three lightest students will have the least weight.
Hence, p + q + r = 95 (i)
The two lightest students and the fourth lightest student will have the second least weight.
p + q + s = 120 (ii)
The three heaviest students will have the highest weight.
r + s + t = 225 (iii)
The two heaviest students and the fourth heaviest student will have the second highest weight.
q + s + t = 200 (iv)
Since the students are weighed in triplets, 10 weightings mean each student is weighed 6 times.
Hence, 6(p + q + r + s + t) = 95 + 150 + 145 + 120 + 145 + 175 + 170 + 200 + 195 + 225 = 1620
=> p + q + r + s + t = 270 (v)
(i) + (iii) - (v) => r = 50
(i) + (iv) - (v) => q = 25
(ii) + (iii) - (v) => s = 75
Putting the values of q and r in (i), we get p=20
Putting the values of r and s in (iii), we get t=100
Weight of the heaviest student t = 100kg
From the information mentioned above.
The three lightest students will have the least weight.
Hence, p + q + r = 95 (i)
The two lightest students and the fourth lightest student will have the second least weight.
p + q + s = 120 (ii)
The three heaviest students will have the highest weight.
r + s + t = 225 (iii)
The two heaviest students and the fourth heaviest student will have the second highest weight.
q + s + t = 200 (iv)
Since the students are weighed in triplets, 10 weightings mean each student is weighed 6 times.
Hence, 6(p + q + r + s + t) = 95 + 150 + 145 + 120 + 145 + 175 + 170 + 200 + 195 + 225 = 1620
=> p + q + r + s + t = 270 (v)
(i) + (iii) - (v) => r = 50
(i) + (iv) - (v) => q = 25
(ii) + (iii) - (v) => s = 75
Putting the values of q and r in (i), we get p=20
Putting the values of r and s in (iii), we get t=100
Weight of the heaviest student t = 100kg
Most Upvoted Answer
Five students went to a doctor for regular checkup. Doctor asked his a...
Let p, q, r, s, t be the weight of 5 students. Let us assume that p < q < r < s < t.
From the information mentioned above.
The three lightest students will have the least weight.
Hence, p + q + r = 95 (i)
The two lightest students and the fourth lightest student will have the second least weight.
p + q + s = 120 (ii)
The three heaviest students will have the highest weight.
r + s + t = 225 (iii)
The two heaviest students and the fourth heaviest student will have the second highest weight.
q + s + t = 200 (iv)
Since the students are weighed in triplets, 10 weightings mean each student is weighed 6 times.
Hence, 6(p + q + r + s + t) = 95 + 150 + 145 + 120 + 145 + 175 + 170 + 200 + 195 + 225 = 1620
=> p + q + r + s + t = 270 (v)
(i) + (iii) - (v) => r = 50
(i) + (iv) - (v) => q = 25
(ii) + (iii) - (v) => s = 75
Putting the values of q and r in (i), we get p=20
Putting the values of r and s in (iii), we get t=100
Weight of the heaviest student t = 100kg
From the information mentioned above.
The three lightest students will have the least weight.
Hence, p + q + r = 95 (i)
The two lightest students and the fourth lightest student will have the second least weight.
p + q + s = 120 (ii)
The three heaviest students will have the highest weight.
r + s + t = 225 (iii)
The two heaviest students and the fourth heaviest student will have the second highest weight.
q + s + t = 200 (iv)
Since the students are weighed in triplets, 10 weightings mean each student is weighed 6 times.
Hence, 6(p + q + r + s + t) = 95 + 150 + 145 + 120 + 145 + 175 + 170 + 200 + 195 + 225 = 1620
=> p + q + r + s + t = 270 (v)
(i) + (iii) - (v) => r = 50
(i) + (iv) - (v) => q = 25
(ii) + (iii) - (v) => s = 75
Putting the values of q and r in (i), we get p=20
Putting the values of r and s in (iii), we get t=100
Weight of the heaviest student t = 100kg
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Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer?
Question Description
Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. 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 students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. 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 students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer?.
Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. 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 students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. 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 students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer?.
Solutions for Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer?, a detailed solution for Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer? has been provided alongside types of Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Five students went to a doctor for regular checkup. Doctor asked his assistant to measure the weight of these students. But the problem is that the weighing machine that assistant has measures only those weights which are more than 80kg. So assistant thought to measure weight of 3 students at a time and he weighed all the possible combinations of weight of students. He obtained the measurements as 95kg, 150kg, 125kg, 120kg, 145kg, 175kg, 170kg, 200kg, 195kg & 225kg.What is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer? tests, examples and also practice CAT tests.
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