RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > There are 96 students in a class, out of whic...
Start Learning for Free
There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?
- a)55
- b)54
- c)51
- d)57
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
There are 96 students in a class, out of which the number of girls is ...
Given: Total student = 96
As we know, Average = sum of the observation / number of observation
Let the number of boys be x.
Sum of boys and girls = 96
Number of girls = 96−x
The number of girls is 40% more than boys
140x/100 = 96 - x
⇒ 14x = 960−10x
⇒ x = 40
Number of girls = 56
Total sum of boys and girls marks = 96×63 = 6048
Let the average of girls is M.
Sum of average of girls = 56M
The average of boys is 40% of girls = 140/100 x M
Sum of boys = 1.4 M×40 = 56 M
According to the question,
56M + 56 M = 6048
⇒ M = 6048/112
⇒ M = 54
As we know, Average = sum of the observation / number of observation
Let the number of boys be x.
Sum of boys and girls = 96
Number of girls = 96−x
The number of girls is 40% more than boys
140x/100 = 96 - x
⇒ 14x = 960−10x
⇒ x = 40
Number of girls = 56
Total sum of boys and girls marks = 96×63 = 6048
Let the average of girls is M.
Sum of average of girls = 56M
The average of boys is 40% of girls = 140/100 x M
Sum of boys = 1.4 M×40 = 56 M
According to the question,
56M + 56 M = 6048
⇒ M = 6048/112
⇒ M = 54
Free Test
FREE
| Start Free Test |
Community Answer
There are 96 students in a class, out of which the number of girls is ...
Given data:
- Total number of students = 96
- Number of girls = 40% more than boys
- Average score of boys = 40% more than girls
- Average score of all students = 63
Let's solve the problem step by step:
Step 1: Finding the number of boys and girls
- Let the number of boys be x
- Number of girls = 1.4x (40% more than boys)
- Total number of students = 96
- x + 1.4x = 96
- 2.4x = 96
- x = 40 (number of boys)
- Number of girls = 1.4 * 40 = 56
Step 2: Finding the average score of boys and girls
- Let the average score of girls be y
- Average score of boys = 1.4y (40% more than girls)
- Total average score of all students = 63
- (40 * y + 56 * 1.4y) / 96 = 63
- (40y + 78.4y) / 96 = 63
- 118.4y / 96 = 63
- y = 5040 / 118.4
- y ≈ 42.55
Step 3: Finding the average score of girls
- Average score of girls = 42.55
- Therefore, the average score of girls in mathematics is approximately 43
Therefore, the correct answer is option 'B' (54).
Attention RRB NTPC/ASM/CA/TA Students!
To make sure you are not studying endlessly, EduRev has designed RRB NTPC/ASM/CA/TA study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in RRB NTPC/ASM/CA/TA.
|
Explore Courses for RRB NTPC/ASM/CA/TA exam
|
|
Similar RRB NTPC/ASM/CA/TA Doubts
Top Courses for RRB NTPC/ASM/CA/TAView all
There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer?
Question Description
There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer?.
There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2024 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer?.
Solutions for There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for RRB NTPC/ASM/CA/TA.
Download more important topics, notes, lectures and mock test series for RRB NTPC/ASM/CA/TA Exam by signing up for free.
Here you can find the meaning of There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer?, a detailed solution for There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 96 students in a class, out of which the number of girls is 40% more than that of the boys. The average score in mathematics of the boys is 40% more than the average score of girls. If the average score in mathematics of all the students is 63, then what is the average score of the girls in mathematics?a)55b)54c)51d)57Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice RRB NTPC/ASM/CA/TA tests.
|
|
Explore Courses for RRB NTPC/ASM/CA/TA 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