Sets - Class 11 Commerce Maths - Extra Questions

In an examination, $$35$$% students failed in Hindi, $$45$$% students failed in English and $$20$$% students failed in both the subjects. What is the percentage of students passing in both the subjects?  



If $$X$$ and $$Y$$ are two sets such that $$n ( X ) = 17$$,$$n ( Y ) = 23$$ $$n ( X \cup Y ) = 38$$ find $$n ( X \cap Y )$$



Let $$O=$$ Set of odd natural numbers $$=\{1,3,5,7,9,...\}$$ and $$E=$$Set of even natural numbers $$=\{2,4,6,8,10,........\}$$. Then show that $$28\in E$$.



If $$A=\left\{1, 3, 9, 11, 13\right\}$$ and $$B=\left\{1, 9, 11\right\}$$ then find $$A\cup B$$ and $$A\cap B$$.



In a group of $$950$$ persons, $$750$$ can speak Hindi and $$460$$ can speak English. Find how many can speak both Hindi and English.



Let $$u=\{1, 2, 3, 4, 5, 6, 7, 8, 9\}, A=\{1, 2, 3, 4\}, B=\{2, 4, 6, 8\}$$ and $$C=\{3, 4, 5, 6\}$$. Find B'.



If $$A -B = \phi$$ then $$A \cup B$$ =............



Complete the following statements 
1.AB=BB........AA∩B=B⟹B........A



Solve :- $$-12x>30,$$ when 
(i) $$x$$ is a natural number 
(ii) $$x$$ is an integer.



If $$A=\{1, 2\}$$ and $$B=\{1, 3\}$$, find $$A\times B$$ and $$B\times A$$.



If $$A=\{1, 2, 3\}$$ and $$B=\{2, 4\}$$, what are $$A\times B, B\times A, A\times A, B\times B$$, and $$(A\times B)\cap (B\times A)$$



Let $$A=\{1, 2, 3\}$$ and $$B=\{3, 4\}$$. Find $$A\times B$$ and show it graphically.



If A and B are two sets having $$3$$ elements in common. If $$n(A)=5, n(B)=4$$, find $$n(A\times B)$$ and $$n\{(A\times B)\cap (B\times A)\}$$.



Class 11 Commerce Maths Extra Questions