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Read the information given below carefully and answer. 
In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.
Consider the following statements:
1. The number of students who had passed in only one subject is equal to the number of students who had passed in exactly two subjects.
2. The number of students who had passed in at least two subjects is four times the number of students who had passed in all the three subjects.
Q. Which of the above statements are true?
  • a)
    1 only
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Read the information given below carefully and answer.In a survey of a...
Given
number of the strength=60
no.of students passed in one subject
In mathematics=25
In physics=30
In chemistry=41
no.of students passed in two subjects
In mathematics and chemistry=5
In mathematics and physics=12
In physics and chemistry=15
no. of students passed in three subjects
mathematics and physics and chemistry=2
option1)
no of students passed in one subject=no.of students passed exactly 2 subjects
From the given information the above statement is not true
option 2)
(no. of students passed in atleast 2subjects)4= no.of students passed in 3 subjects
from the given information the above statement is not true therefore answer is d
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Read the information given below carefully and answer.In a survey of a...
Filling in the information given in the question in a Venn Diagram we get:

As given in the question, 30 students passed in Physics. So, 30 – (12 + 15 + 2) = 1 student passed in Physics only.
Similarly, 25 students passed in Mathematics. So, only 6 students passed in Mathematics only. 41 students passed in Chemistry.
Therefore, 19 students passed in Chemistry only. The final picture that emerges from all this is shown below:

The class contains only 60 students. It can be seen from the diagram that all the 60 student have been accounted for. So, it can be concluded that none of the students failed in all the three subjects.
Number of students who passed in only one subject = 1 + 6 + 19 = 26
Number of students who passed in exactly two subjects = 15 + 12 + 5 = 32
So, statement 1 is incorrect.
Number of students who passed in at least two subjects = Number of students who passed in only two subjects + Number of students who passed in all the three subjects = 32 + 2 = 34
Number of students who passed in all the three subjects = 2
So, statement 2 is wrong too.
Hence, option (d) is the correct answer.
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Read the information given below carefully and answer.In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.Consider the following statements:1. The number of students who had passed in only one subject is equal to the number of students who had passed in exactly two subjects.2. The number of students who had passed in at least two subjects is four times the number of students who had passed in all the three subjects.Q. Which of the above statements are true?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?
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Read the information given below carefully and answer.In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.Consider the following statements:1. The number of students who had passed in only one subject is equal to the number of students who had passed in exactly two subjects.2. The number of students who had passed in at least two subjects is four times the number of students who had passed in all the three subjects.Q. Which of the above statements are true?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Read the information given below carefully and answer.In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.Consider the following statements:1. The number of students who had passed in only one subject is equal to the number of students who had passed in exactly two subjects.2. The number of students who had passed in at least two subjects is four times the number of students who had passed in all the three subjects.Q. Which of the above statements are true?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the information given below carefully and answer.In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.Consider the following statements:1. The number of students who had passed in only one subject is equal to the number of students who had passed in exactly two subjects.2. The number of students who had passed in at least two subjects is four times the number of students who had passed in all the three subjects.Q. Which of the above statements are true?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'D'. Can you explain this answer?.
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