Maharashtra Board Solutions for Chapter: Sets, Exercise 5: Problem set

Which of the following collections is a set?

Which of the following set represents $N\cap W?$

$P=\{x | x$ is a letter of the word 'Indian'$\}$, then which one of the following is the set $P$ in listing form?

If $T=\left\{1, 2, 3, 4, 5\right\}$ and $M=\left\{3, 4, 7, 8\right\}$ then $T\cup M=?$

$70$ trees were planted by Parth and $90$ trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these, $25$ trees were planted by both of them together. How many trees were planted by Parth or Pradnya?

If $n\left(A\right)=20, n\left(B\right)=28$ and $n\left(A\cup B\right)=36$ then $n\left(A\cap B\right)=?$

In a class, $8$ students out of $28$ have a dog as their pet animal at home, $6$ students have a cat as their pet animal. $10$ students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

If $n\left(A\right)=7, n\left(B\right)=13, n\left(A\cap B\right)=4$, then $n\left(A\cup B\right)=?$