CAT Exam > CAT Questions > Five students went to a doctor for regular c...
Start Learning for Free
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?
Most Upvoted Answer
Five students went to a doctor for regular checkup. Doctor asked his ...
Let p, q, r, s, t be the weight of 5 students. Let us assume that p < q="" />< r="" />< s="" />< />
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
Community Answer
Five students went to a doctor for regular checkup. Doctor asked his ...
To solve this problem, we need to find the weights of each individual student.
Let's start by looking at the combinations of weights that the assistant obtained:
95kg, 150kg, 125kg
120kg, 145kg, 175kg
170kg, 200kg, 195kg
From these combinations, we can see that the weight of the heaviest student is 200kg.
Now, let's consider the combinations that include the weight of the heaviest student:
170kg, 200kg, 195kg
Based on this combination, we can conclude that the weight of the second heaviest student is 195kg.
Now, let's consider the combinations that include the weights of the two heaviest students:
170kg, 200kg, 195kg
From this combination, we can conclude that the weight of the third heaviest student is 170kg.
Now, let's consider the remaining combinations:
95kg, 150kg, 125kg
120kg, 145kg, 175kg
From these combinations, we can conclude that the weight of the lightest student is 95kg.
Finally, let's consider the combinations that include the weight of the lightest student:
95kg, 150kg, 125kg
From this combination, we can conclude that the weight of the second lightest student is 125kg.
Therefore, the weights of the five students are as follows:
Student 1: 95kg
Student 2: 125kg
Student 3: 170kg
Student 4: 195kg
Student 5: 200kg
Let's start by looking at the combinations of weights that the assistant obtained:
95kg, 150kg, 125kg
120kg, 145kg, 175kg
170kg, 200kg, 195kg
From these combinations, we can see that the weight of the heaviest student is 200kg.
Now, let's consider the combinations that include the weight of the heaviest student:
170kg, 200kg, 195kg
Based on this combination, we can conclude that the weight of the second heaviest student is 195kg.
Now, let's consider the combinations that include the weights of the two heaviest students:
170kg, 200kg, 195kg
From this combination, we can conclude that the weight of the third heaviest student is 170kg.
Now, let's consider the remaining combinations:
95kg, 150kg, 125kg
120kg, 145kg, 175kg
From these combinations, we can conclude that the weight of the lightest student is 95kg.
Finally, let's consider the combinations that include the weight of the lightest student:
95kg, 150kg, 125kg
From this combination, we can conclude that the weight of the second lightest student is 125kg.
Therefore, the weights of the five students are as follows:
Student 1: 95kg
Student 2: 125kg
Student 3: 170kg
Student 4: 195kg
Student 5: 200kg
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
|
|
Similar CAT Doubts
Top Courses for CATView all
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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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.
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 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 & 225kgWhat is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat 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 & 225kgWhat is the weight of the heaviest student?Correct answer is '100'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup