In a college of 300 students, every student reads 5 newspaper and every newspaper is read by 60 stud

English

Gujarati

Hindi

1.Set Theory

hard

In a college of $300$ students, every student reads $5$ newspaper and every newspaper is read by $60$ students. The no. of newspaper is

A

At least $30$

B

At most $20$

C

Exactly $25$

D

None of these

(IIT-1998)

Solution

(c) Let number of newspapers be $x$. If every students reads one newspaper, the number of students would be $x(60) = 60x$

Since, every students reads $5$ newspapers

$\therefore$ Numbers of students $ = {{x \times 60} \over 5} = 300$, $x = 25$.

Standard 11

Mathematics

Share

Similar Questions

In a Mathematics test, the average marks of boys is $x \%$ and the average marks of girls is $y \%$ with $x \neq y$. If the average marks of all students is $z \%$, the ratio of the number of girls to the total number of students is

hard

(KVPY-2017)

Out of $500$ car owners investigated, $400$ owned car $\mathrm{A}$ and $200$ owned car $\mathrm{B} , 50$ owned both $\mathrm{A}$ and $\mathrm{B}$ cars. Is this data correct?

medium

Out of all the patients in a hospital $89\, \%$ are found to be suffering from heart ailment and $98\, \%$ are suffering from lungs infection. If $\mathrm{K}\, \%$ of them are suffering from both ailments, then $\mathrm{K}$ can not belong to the set :

medium

(JEE MAIN-2021)

In a class of $100$ students, $55$ students have passed in Mathematics and $67$ students have passed in Physics. Then the number of students who have passed in Physics only is

easy

In a group of $65$ people, $40$ like cricket, $10$ like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?

medium