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In a class of 60 students , 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in reasoning?
- a)17
- b)33
- c)23
- d)37
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class of 60 students , 40% of the students passed in Reasoning, 5...
Given:
Total student = 60
Passed in Quants = 40% students
Failed in both the subjects= 5%
Passed in Both subjects = 20%
Calculation:
The number of failed students in both subjects = 5% of 60
= 5/100 × 60 = 3
The number of passed students in both subjects = 20% of 60
= 20/100 × 60 = 12
The number of students who passed in Quants = 40% of 60
= 40/100 × 60 = 24
Those passed only in Quants = 24 - 12 = 12
Those passed only in Reasoning = 60 - (12+12+3)
= 60 - 27 = 33
∴ The correct answer is 33.
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
In a class of 60 students , 40% of the students passed in Reasoning, 5...
Given data:
Total number of students = 60
Percentage of students passed in Reasoning = 40%
Percentage of students failed in Quants and Reasoning = 5%
Percentage of students passed in both subjects = 20%
To find: Number of students passed only in Quants
Solution:
Let's first find out the number of students who passed in Reasoning.
Number of students passed in Reasoning = (40/100) x 60 = 24
Now, let's find out the number of students who failed in Quants and Reasoning.
Number of students failed in Quants and Reasoning = (5/100) x 60 = 3
We know that 20% of the students passed in both the subjects. So, the number of students who passed in both the subjects will be:
Number of students passed in both the subjects = (20/100) x 60 = 12
Now, we can find out the number of students who passed in Quants as follows:
Number of students passed in Quants = Total number of students - Number of students failed in Quants and Reasoning - Number of students passed in both the subjects
Number of students passed in Quants = 60 - 3 - 12 = 45
Finally, we can find out the number of students who passed only in Quants as follows:
Number of students passed only in Quants = Number of students passed in Quants - Number of students passed in both the subjects
Number of students passed only in Quants = 45 - 12 = 33
Therefore, the number of students passed only in Quants is 33, which is option (b).
Total number of students = 60
Percentage of students passed in Reasoning = 40%
Percentage of students failed in Quants and Reasoning = 5%
Percentage of students passed in both subjects = 20%
To find: Number of students passed only in Quants
Solution:
Let's first find out the number of students who passed in Reasoning.
Number of students passed in Reasoning = (40/100) x 60 = 24
Now, let's find out the number of students who failed in Quants and Reasoning.
Number of students failed in Quants and Reasoning = (5/100) x 60 = 3
We know that 20% of the students passed in both the subjects. So, the number of students who passed in both the subjects will be:
Number of students passed in both the subjects = (20/100) x 60 = 12
Now, we can find out the number of students who passed in Quants as follows:
Number of students passed in Quants = Total number of students - Number of students failed in Quants and Reasoning - Number of students passed in both the subjects
Number of students passed in Quants = 60 - 3 - 12 = 45
Finally, we can find out the number of students who passed only in Quants as follows:
Number of students passed only in Quants = Number of students passed in Quants - Number of students passed in both the subjects
Number of students passed only in Quants = 45 - 12 = 33
Therefore, the number of students passed only in Quants is 33, which is option (b).
Community Answer
In a class of 60 students , 40% of the students passed in Reasoning, 5...
Yes .... ans is 33 . draw the venn diagram and get the answer .. or contact me on facebook .. juns navodian . I will send u pic of the answer
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In a class of 60 students , 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in reasoning?a)17b)33c)23d)37e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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