Quant Exam > Quant Questions > 400 students took a mock exam in Delhi. 60% o...
Start Learning for Free
400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?
- a)100
- b)120
- c)150
- d)300
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
400 students took a mock exam in Delhi. 60% of the boys and 80% of the...
Most Upvoted Answer
400 students took a mock exam in Delhi. 60% of the boys and 80% of the...
The ratio of boys and girls appearing for the exam can be seen to be 3:1 using the following alligation figure.
This means that out of 400 students, there must have been 100 girls who appeared in the exam.
Free Test
FREE
| Start Free Test |
Community Answer
400 students took a mock exam in Delhi. 60% of the boys and 80% of the...
Given data:
- Total number of students who took the mock exam = 400
- Percentage of students who cleared the cut off = 65%
- Percentage of boys who cleared the cut off = 60%
- Percentage of girls who cleared the cut off = 80%
To find: Number of girls who appeared in the examination
Solution:
Let the number of boys be 'b' and the number of girls be 'g' who appeared for the examination.
Total number of students who cleared the cut off = 65% of 400 = (65/100)*400 = 260
Number of boys who cleared the cut off = 60% of b = (60/100)*b
Number of girls who cleared the cut off = 80% of g = (80/100)*g
Total number of students who cleared the cut off = Number of boys who cleared the cut off + Number of girls who cleared the cut off
(60/100)*b + (80/100)*g = 260
Simplifying the above equation, we get:
6b + 8g = 2600 (dividing by 10)
3b + 4g = 1300 (dividing by 2)
Now, we need to find the value of 'g' (number of girls). We can use the method of options to check which option satisfies the above equation.
a) If g = 100, then 3b + 4g = 3b + 400 = 1300, which gives b = 300.
So, the total number of students who cleared the cut off = (60/100)*300 + (80/100)*100 = 180 + 80 = 260 (which matches the given data).
Hence, option A is correct.
b) If g = 120, then 3b + 4g = 3b + 480 = 1300, which gives b = 273.33 (not possible as b should be a whole number).
c) If g = 150, then 3b + 4g = 3b + 600 = 1300, which gives b = 233.33 (not possible as b should be a whole number).
d) If g = 300, then 3b + 4g = 3b + 1200 = 1300, which gives b = 33.33 (not possible as b should be a whole number).
Therefore, the correct answer is option A, i.e., 100 girls appeared in the examination.
- Total number of students who took the mock exam = 400
- Percentage of students who cleared the cut off = 65%
- Percentage of boys who cleared the cut off = 60%
- Percentage of girls who cleared the cut off = 80%
To find: Number of girls who appeared in the examination
Solution:
Let the number of boys be 'b' and the number of girls be 'g' who appeared for the examination.
Total number of students who cleared the cut off = 65% of 400 = (65/100)*400 = 260
Number of boys who cleared the cut off = 60% of b = (60/100)*b
Number of girls who cleared the cut off = 80% of g = (80/100)*g
Total number of students who cleared the cut off = Number of boys who cleared the cut off + Number of girls who cleared the cut off
(60/100)*b + (80/100)*g = 260
Simplifying the above equation, we get:
6b + 8g = 2600 (dividing by 10)
3b + 4g = 1300 (dividing by 2)
Now, we need to find the value of 'g' (number of girls). We can use the method of options to check which option satisfies the above equation.
a) If g = 100, then 3b + 4g = 3b + 400 = 1300, which gives b = 300.
So, the total number of students who cleared the cut off = (60/100)*300 + (80/100)*100 = 180 + 80 = 260 (which matches the given data).
Hence, option A is correct.
b) If g = 120, then 3b + 4g = 3b + 480 = 1300, which gives b = 273.33 (not possible as b should be a whole number).
c) If g = 150, then 3b + 4g = 3b + 600 = 1300, which gives b = 233.33 (not possible as b should be a whole number).
d) If g = 300, then 3b + 4g = 3b + 1200 = 1300, which gives b = 33.33 (not possible as b should be a whole number).
Therefore, the correct answer is option A, i.e., 100 girls appeared in the examination.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer?
Question Description
400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. 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 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer?.
400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. 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 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer?.
Solutions for 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. 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 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 400 students took a mock exam in Delhi. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?a)100b)120c)150d)300Correct answer is option 'A'. 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