Quant Exam > Quant Questions > The average height of 50 students in a class ...
Start Learning for Free
The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.
- a)187
- b)192
- c)197
- d)198
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The average height of 50 students in a class is 165cm. On a particular...
Answer – 3.197 Explanation : sum of height (50) = 50*165 = 8250 sum of height (47) = 47*163 = 7661 sum of the height of P, Q and R = 8250-7661 = 589 P+P+P-2 = 589 (as height of P is equal to Q and height of R = P -2) P = 197
Most Upvoted Answer
The average height of 50 students in a class is 165cm. On a particular...
**Given information:**
- Average height of 50 students in a class = 165 cm
- Average height of remaining students (after 3 students are absent) = 163 cm
**Let's solve the problem step by step:**
1. Find the total height of all students before 3 students were absent:
- Average height of 50 students = 165 cm
- Total height of 50 students = Average height * Number of students = 165 cm * 50 = 8250 cm
2. Find the total height of the remaining students after 3 students were absent:
- Average height of remaining students = 163 cm
- Number of remaining students = 50 - 3 = 47
- Total height of remaining students = Average height * Number of remaining students = 163 cm * 47 = 7661 cm
3. Find the total height of the absent students:
- Total height of absent students = Total height of all students - Total height of remaining students = 8250 cm - 7661 cm = 589 cm
4. Let's assume the height of student P as 'x' cm.
- Height of student Q is also 'x' cm (as given).
- Height of student R = Height of P - 2 cm = x - 2 cm
5. Calculate the total height of P, Q, and R:
- Total height of P, Q, and R = Height of P + Height of Q + Height of R
- Total height of P, Q, and R = x + x + (x - 2)
- Total height of P, Q, and R = 3x - 2
6. Calculate the total height of the absent students using the height of P, Q, and R:
- Total height of the absent students = Total height of P, Q, and R = 3x - 2
7. Calculate the average height of the absent students:
- Average height of the absent students = Total height of the absent students / Number of absent students
- Average height of the absent students = (3x - 2) / 3
8. Calculate the number of absent students:
- Number of absent students = Total height of absent students / Average height of all students
- Number of absent students = 589 cm / 165 cm = 3.56 (approx.)
Since the number of students cannot be in decimal, we can conclude that there are 4 absent students.
9. Calculate the height of each absent student:
- Height of each absent student = Total height of absent students / Number of absent students
- Height of each absent student = 589 cm / 4 = 147.25 cm
10. Calculate the height of student P:
- Height of student P = Height of each absent student + 2 cm (as height of R is 2 cm less than P)
- Height of student P = 147.25 cm + 2 cm = 149.25 cm
Therefore, the height of student P is approximately 149.25 cm, which is not given in the options. Hence, the correct answer is None of these.
- Average height of 50 students in a class = 165 cm
- Average height of remaining students (after 3 students are absent) = 163 cm
**Let's solve the problem step by step:**
1. Find the total height of all students before 3 students were absent:
- Average height of 50 students = 165 cm
- Total height of 50 students = Average height * Number of students = 165 cm * 50 = 8250 cm
2. Find the total height of the remaining students after 3 students were absent:
- Average height of remaining students = 163 cm
- Number of remaining students = 50 - 3 = 47
- Total height of remaining students = Average height * Number of remaining students = 163 cm * 47 = 7661 cm
3. Find the total height of the absent students:
- Total height of absent students = Total height of all students - Total height of remaining students = 8250 cm - 7661 cm = 589 cm
4. Let's assume the height of student P as 'x' cm.
- Height of student Q is also 'x' cm (as given).
- Height of student R = Height of P - 2 cm = x - 2 cm
5. Calculate the total height of P, Q, and R:
- Total height of P, Q, and R = Height of P + Height of Q + Height of R
- Total height of P, Q, and R = x + x + (x - 2)
- Total height of P, Q, and R = 3x - 2
6. Calculate the total height of the absent students using the height of P, Q, and R:
- Total height of the absent students = Total height of P, Q, and R = 3x - 2
7. Calculate the average height of the absent students:
- Average height of the absent students = Total height of the absent students / Number of absent students
- Average height of the absent students = (3x - 2) / 3
8. Calculate the number of absent students:
- Number of absent students = Total height of absent students / Average height of all students
- Number of absent students = 589 cm / 165 cm = 3.56 (approx.)
Since the number of students cannot be in decimal, we can conclude that there are 4 absent students.
9. Calculate the height of each absent student:
- Height of each absent student = Total height of absent students / Number of absent students
- Height of each absent student = 589 cm / 4 = 147.25 cm
10. Calculate the height of student P:
- Height of student P = Height of each absent student + 2 cm (as height of R is 2 cm less than P)
- Height of student P = 147.25 cm + 2 cm = 149.25 cm
Therefore, the height of student P is approximately 149.25 cm, which is not given in the options. Hence, the correct answer is None of these.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The average height of 50 students in a class is 165cm. On a particular day, three students P,Q and R are absent, so the average of the remaining students becomes 163cm. If the height of P and Q is equal and height of R is 2 cm less than P, then find the height of P.a)187b)192c)197d)198e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup