R S Aggarwal Solutions for Exercise 7: EXERCISE 1G

In a survey of $60$ people, it was found that $25$ people read newspaper $H, 26$ read newspaper $T, 26$ read the 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 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 number of students studying English and Hindi both

In a town of $10,000$ families, it was found that $40\%$ of the families buy newspaper $A$, $20\%$ buy newspaper $B$, $10\%$ buy newspaper $C$, $5\%$ buy $A$ and $B$; $3\%$ buy $B$ and $C$, and $4\%$ buy $A$ and $C$. If $2\%$ buy all the three newspapers, find the number of families which buy $A$ only

In a town of $10,000$ families, it was found that $40\%$ of the families buy newspaper $A$, $20\%$ buy newspaper $B$, $10\%$ buy newspaper $C$, $5\%$ buy $A$ and $B$; $3\%$ buy $B$ and $C$, and $4\%$ buy $A$ and $C$. If $2\%$ buy all the three newspapers, find the number of families which buy $B$ only

In a town of $10,000$ families, it was found that $40\%$ of the families buy newspaper $A$, $20\%$ buy newspaper $B$, $10\%$ buy newspaper $C$, $5\%$ buy $A$ and $B$; $3\%$ buy $B$ and $C$, and $4\%$ buy $A$ and $C$. If $2\%$ buy all the three newspapers, find the number of families which buy none of $A, B$, and $C$.

A class has $175$ students. The following description gives the number of students one or more of the subjects in this class: mathematics $100$, physics $70$, chemistry $46$, mathematics and physics $30$; mathematics and chemistry $28$; physics and chemistry $23$; mathematics, physics and chemistry $18$. Find how many students are enrolled in mathematics alone, physics alone and chemistry alone.

A class has $175$ students. The following description gives the number of students one or more of the subjects in this class: mathematics $100$, physics $70$, chemistry $46$, mathematics and physics $30$; mathematics and chemistry $28$; physics and chemistry $23$; mathematics, physics and chemistry $18$. Find the number of students who have not offered any of these subjects.