R S Aggarwal Solutions for Exercise 6: EXERCISE 1F

A school awarded $42$ medals in hockey, $18$ in basketball and $23$ in cricket. If these medals were bagged by a total of $65$ students and only $4$ students got medals in all the three sports, how many students received medals in exactly two of the three sports?

In a survey of $60$ people, it was found that $25$ people read newspaper $H, 26$ read newspaper $T, 26$ read newspaper$I, 9$ read both $H$ and $I, 11$ read both $H$ and $T, 8$ read both $T$ and $I$, and $3$ read all the three newspapers. Find the number of people who read at least one of the newspapers.

In a survey of $60$ people, it was found that $25$ people read newspaper $H, 26$ read newspaper $T, 26$ read newspaper$I, 9$ read both $H$ and $I, 11$ read both $H$ and $T, 8$ read both $T$ and $I$, and $3$ read all the three newspapers. Find the number of people who read exactly one newspaper.

In a class, $18$ students offered physics, $23$ offered chemistry and $24$ offered mathematics. Of these, $13$ are in both chemistry and mathematics; $12$ in physics and chemistry; $11$ in mathematics and physics, and $6$ in all the three subjects. Find how many students are there in the class.
 

In a class, $18$ students offered physics, $23$ offered chemistry and $24$ offered mathematics. Of these, $13$ are in both chemistry and mathematics; $12$ in physics and chemistry; $11$ in mathematics and physics, and $6$ in all the three subjects. Find how many offered mathematics but not chemistry.

In a class, $18$ students offered physics, $23$ offered chemistry and $24$ offered mathematics. Of these, $13$ are in both chemistry and mathematics; $12$ in physics and chemistry; $11$ in mathematics and physics, and $6$ in all the three subjects. Find how many are taking exactly one of the three subjects.

In a survey of $100$ students, the number of students studying the various languages is found as: English only $18$ ; English but not Hindi $23$ ; English and Sanskrit $8$ ; Sanskrit and Hindi $8$ ; English $26$ ; Sanskrit $48$ and no language $24$. Find how many students are studying Hindi;

In a survey of $100$ students, the number of students studying the various languages is found as: English only $18$ ; English but not Hindi $23$ ; English and Sanskrit $8$ ; Sanskrit and Hindi $8$ ; English $26$ ; Sanskrit $48$ and no language $24$. Find how many students are studying English and Hindi both.