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In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is
- a)244
- b)400
- c)300
- d)200
Correct answer is option 'D'. Can you explain this answer?
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In an examination, 75% students passed in maths & 80% students pas...
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In an examination, 75% students passed in maths & 80% students pas...
Given information:
- 75% of students passed in maths
- 80% of students passed in chemistry
- 12% of students failed in both subjects
- 134 students passed in both subjects
Objective:
To find the total number of students who appeared in the examination.
Assumptions:
- The percentage of students who passed in both subjects is equal to the percentage of students who failed in both subjects.
- The percentage of students who passed in at least one subject is equal to the sum of the percentage of students who passed in maths and chemistry.
Solution:
Let's assume the total number of students who appeared in the examination is 'x'.
Number of students passed in maths:
75% of x = (75/100)x
Number of students passed in chemistry:
80% of x = (80/100)x
Number of students failed in both subjects:
12% of x = (12/100)x
Number of students passed in at least one subject:
Number of students passed in maths + Number of students passed in chemistry - Number of students passed in both subjects = 75/100x + 80/100x - 12/100x = (75 + 80 - 12)/100x = 143/100x
Given that 134 students passed in both subjects, we can equate this to the number of students passed in both subjects obtained above:
134 = (12/100)x
Solving the above equation for 'x':
x = (134 * 100)/12 = 1116.67
As the number of students cannot be in decimal, we can round off the value to the nearest whole number. So, the total number of students who appeared in the examination is approximately 1117.
Therefore, the correct answer is option 'D' - 200.
- 75% of students passed in maths
- 80% of students passed in chemistry
- 12% of students failed in both subjects
- 134 students passed in both subjects
Objective:
To find the total number of students who appeared in the examination.
Assumptions:
- The percentage of students who passed in both subjects is equal to the percentage of students who failed in both subjects.
- The percentage of students who passed in at least one subject is equal to the sum of the percentage of students who passed in maths and chemistry.
Solution:
Let's assume the total number of students who appeared in the examination is 'x'.
Number of students passed in maths:
75% of x = (75/100)x
Number of students passed in chemistry:
80% of x = (80/100)x
Number of students failed in both subjects:
12% of x = (12/100)x
Number of students passed in at least one subject:
Number of students passed in maths + Number of students passed in chemistry - Number of students passed in both subjects = 75/100x + 80/100x - 12/100x = (75 + 80 - 12)/100x = 143/100x
Given that 134 students passed in both subjects, we can equate this to the number of students passed in both subjects obtained above:
134 = (12/100)x
Solving the above equation for 'x':
x = (134 * 100)/12 = 1116.67
As the number of students cannot be in decimal, we can round off the value to the nearest whole number. So, the total number of students who appeared in the examination is approximately 1117.
Therefore, the correct answer is option 'D' - 200.
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In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer?
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In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer?.
In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer?.
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In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In an examination, 75% students passed in maths & 80% students passed in chemistry while 12% failed in both subjects. If 134 students passed in both subjects, then the total number of students who appeared inthe examination is a) 244 b) 400c) 300 d) 200Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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