Direction for questions: Answer the questions on the basis of the information given below.

In a school when a survey is conducted on liking of subjects out of three subjects physics, chemistry mathematics then outcome is as follow.

Total number of students who like physics, chemistry and mathematics is 30, 40, 50 respectively. 10 students shown interest in all three subjects, Number of students who like physics and mathematics both is equal to number of students who like chemistry and mathematics both and is equal to 3/4 times number of students who like physics and chemistry both 15 students like only chemistry.

When class teacher saw this survey report he told head master that at least 20% and at max 40% of those who told they like physics are liars about physics liking. Same percentage for chemistry is 40% to 50%.

Further class teacher added that the liars must belong to those who like only 1 subject and if numbers of liars is more then it belongs to those who like 2 subjects and probability that the who likes all three subjects is a liar is negligible.

According to survey what is the ratio of number of students who like only Physics to those who like only Chemistry to those who like only Maths.

Option 1 - <p>1 : 3 : 4</p>
Option 2 - <p>2 : 3 : 3</p>
Option 3 - <p>1 : 3 : 5</p>
Option 4 - <p>None of these</p>
1 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
P
6 months ago
Correct Option - 1
Detailed Solution:

From the given condition g = 10,

Number of students who like both Physics and Maths = 10 + f

Number of students who like both chemistry and Maths = 10 + e

From given condition 10 + f = 10 + e or e = f

Similarly from 3rd condition ¾ (10 + e) = 10 + d

Or 30 + 3e = 40 + 4d

Or

d = 3e - 10/4

 Since 15 student

...Read more

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