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Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 1. 57 kg 2. 56.8 kg 3. 58.2 kg 4. 52.2 kg Ans: Choice (1) Can Any one explain it?
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Que 6: When a student weighing 45 kg left a class, the average weight ...
Given data:
- A student weighing 45 kg left a class.
- The average weight of the remaining 59 students increased by 200g.

To find: Average weight of the remaining 59 students.

Solution:
Let the average weight of the original class be 'x'.
Total weight of the original class = x * 60 (60 students in total)

When the student weighing 45 kg left the class, the total weight of the remaining 59 students became:
x * 59 + (x + 0.2) * 59 = x * 60
[Adding the weight of the student who left to the weight of the remaining 59 students would give the total weight of the original class]

Simplifying the above equation, we get:
59x + 11.8 = 60x
x = 11.8

Therefore, the average weight of the original class was 11.8 kg.

When the student weighing 45 kg left, the total weight of the remaining 59 students became:
11.8 * 59 + (x + 0.2) * 59 = 12.8 * 59
[Using the average weight of the original class, we can find the total weight of the remaining 59 students]

Simplifying the above equation, we get:
x + 0.2 = 57
x = 56.8

Therefore, the average weight of the remaining 59 students is 56.8 kg.

Hence, the correct answer is option (1) 57 kg.
Community Answer
Que 6: When a student weighing 45 kg left a class, the average weight ...
Let x= Total weight of 59 students
y= Average weight of 60 students

(x+45)/60 = y ---- equation 1
x/59 = y+0.2 ---- equation 2

Solving both equations we get y= 56.8
Average weight of 59 students = y+0.2 = 56.8 + 0.2 = 57 kg
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Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 1. 57 kg 2. 56.8 kg 3. 58.2 kg 4. 52.2 kg Ans: Choice (1) Can Any one explain it?
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Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 1. 57 kg 2. 56.8 kg 3. 58.2 kg 4. 52.2 kg Ans: Choice (1) Can Any one explain it? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 1. 57 kg 2. 56.8 kg 3. 58.2 kg 4. 52.2 kg Ans: Choice (1) Can Any one explain it? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 1. 57 kg 2. 56.8 kg 3. 58.2 kg 4. 52.2 kg Ans: Choice (1) Can Any one explain it?.
Solutions for Que 6: When a student weighing 45 kg left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 1. 57 kg 2. 56.8 kg 3. 58.2 kg 4. 52.2 kg Ans: Choice (1) Can Any one explain it? 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.
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