Questions

Sets, Relations and Functions

The smallest set $$A$$ such that $$A\cup \left\{ 1,2 \right\} =\left\{ 1,2,3,5,9 \right\} $$ is

Sets, Relations and Functions

Let $$S$$ be a non-empty subset of $$R$$. Consider the following statement: $$p$$ : There is a rational number $$x$$ such that $$x > 0$$. which of the following statements is the negation of statement P?

Sets, Relations and Functions

Which of the following are sets? Justify the answer. The collection of ten most talented writers of India

Sets, Relations and Functions

State whether the following statement is true or false. $$\{a\}\in\{a, b, c\}$$.

Sets, Relations and Functions

State whether the following statement is true or false. $$\{a, b\}=\{a, a, b, b, a\}$$.

Sets, Relations and Functions

Say true or false. The collection of rich people in your district is an example of a set.

Sets, Relations and Functions

Say true or false: The sets $$A = \{b, c, d, e \}$$ and $$B = \{x : x$$ $$\text {is a letter in the word "master"} \}$$ are joint.

Sets, Relations and Functions

State true or false. Given universal set= $$\displaystyle =\left \{ -6,-5\frac{3}{4}, -\sqrt{4}, -\frac{3}{5}, -\frac{3}{8}, 0, \frac{4}{5}, 1, 1\frac{2}{3}, \sqrt{8}, 3.01, \pi , 8.47 \right \}$$ From the given set, find set of non-negative integers is $$\displaystyle \left \{0,1 \right \}$$.

Sets, Relations and Functions

What universal set (s) would you propose for each of the following: The set of isosceles triangles.

Sets, Relations and Functions

The union of the following pair of sets is: $$A = \{2, 3, 5, 6, 7\}, B = \{4, 5, 7, 8\}$$

Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$B \cap C$$

Sets, Relations and Functions

Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$A \cup (B \cap C)$$

Sets, Relations and Functions

In an examination, $$34\%$$ of the candidates fail in Arithmetic and $$42\%$$ in English. If $$20\%$$ fail in Arithmetic and English, the percentage of those passing in both subjects is :

If $$A = $${1,4,6}, $$B = $${3,6}, then find $$(A \cap B)$$

Sets, Relations and Functions

Let $$A$$ and $$B$$ be two sets then, $$(A \cup B') \cap (A' \cap B)$$ is equal to

Sets, Relations and Functions

Let, $$n(u)=700,n(A)=200,n(B)=300$$ $$n\left( A\cap B \right) =100,n\left( A^{\prime} \cap B^{\prime} \right) =$$

Sets, Relations and Functions

Let A = { letters of the word "IDEA"} and B = {letters of the word "MAN"}. Then the sets A and B are

Sets, Relations and Functions

Let $$A=\left\{ 1,2,3,4 \right\} $$ and $$B=\left\{ 2,3,4,5,6 \right\} $$, then $$A\triangle B$$ is equal to =?$$$$ where, $$A\triangle B$$ is defined as $$\displaystyle {A}\triangle {B}=\{{x}:{x}\in\frac{{A}}{{B}}$$ or $$\displaystyle {x}\in\frac{{B}}{{A}}\})$$

Sets, Relations and Functions

In a combined test in Maths and Chemistry. $$84\%$$candidates passed in Maths, $$76\%$$ in Chemistry and $$8\%$$ failed in both. If $$340$$ candidates passed in the test, then how many appeared ?

Sets, Relations and Functions

Let $$A$$ be a non-empty set such that $$A \times A$$ has $$9 $$ elements among which are found $$(-1, 0)$$ and $$(0, 1)$$, then

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