The first step in the planning process is to _____.

Important Questions on Sets, Relations and Functions

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $A$ and $B$ are disjoint sets, then $B\cap A^{\text{'}}$, where $A^{\text{'}}$ is complement of $A$, is equal to

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A survey shows that $73\%$ of the persons working in an office like coffee, whereas $65\%$ like tea. If $x$ denotes the percentage of them, who like both coffee and tea, then $x$ cannot be:

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $\mathrm{A}=\left\{x/x\le 10, x\in \mathrm{N}\right\}$ and $\mathrm{B}=\left\{x/x\le 10, x\in \mathrm{W}\right\}$, then $\mathrm{A}\cap \mathrm{B}=?$

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

In an examination, $53\%$ of the candidates failed in science and $48\%$ failed in mathematics. If $40\%$ failed in both subjects, what percentage passed in both subjects ?

MEDIUM

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

In a group of boys, $25$ play volleyball, $20$ play badminton and $10$boys play cricket. Five boys play all the three games. 8 boys play atleast two of the three games. How many of them play only one game? 

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If a set $A$ has $4$ elements, then the total number of proper subsets of set $A$, is

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $n\left(A\right)=3, n\left(B\right)=6$ and $A\subseteq B,$ then the number of elements in $\left(A\cup B\right)$ is equal to

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $*$ is a binary operation such that $a * b=a^2+b^2$, then $3*5$ is

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

Two finite sets have $m$ and $n$ elements. The number of subsets of the first set is $112$ more than that of the second. The values of $m$ and $n$ are respectively

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $A\subset B,$ then $A\mathrm{\Delta }B$ is equal to

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

In an examination, $54\%$ of the candidates passed in science and $42\%$ failed in mathematics. If $32\%$ failed in both subjects, what percentage passed in both subjects ?

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $A=\left\{x\right|x\in N,x$ is a prime number less than $12\}$ and $B=\left\{x\right|$$x\in N$ , $x$ is factor of $10\}$, then $A\cap B$$=$…

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $n\left(P\right)=8, n\left(Q\right)=10$ and $n\left(R\right)=5$ ($\text{'}n\text{'}$ denotes cardinality) for three disjoint sets $P, Q, R$, then $n\left(PUQUR\right)=$

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

In a class of $175$ students the following data shows the number of students opting one or more subjects. Mathematics $100$, Physics $70$, Chemistry $40$, Mathematics and Physics $30,$ Mathematics and Chemistry $28$, Physics and Chemistry $23$, Mathematics, physics and Chemistry $18$. The number of students who have opted Mathematics alone is

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

If $a\ast b=a^2+b^2+ab+2$ on $Z$, then $4\ast 3=$_____

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

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

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

In a class, students are assigned roll numbers from I to $140$. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by $5$ opted for football, and all those whose roll numbers are divisible by $3$ opted for basketball. The number of students who did not opt for any of the three sports is

MEDIUM

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

A survey shows that $63\%$ of the people in a city read newspaper $A$ whereas $76\%$ read news paper $B$. If  $x\%$ of the people read both the newspapers, then a possible value of $x$ can be:

HARD

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

In an examination $51\%$ students fail in English and $45\%$ fail in Maths. If $21\%$students fail in both the subjects, then $169$ students pass the examination. What is the total number of students taking the exam?
 

EASY

Mathematics>Algebra>Sets, Relations and Functions>Sets and Relations

Let $A=\left\{1,2,3,4,5,6,7,8,9,10\right\}.$ Then the number of subsets of $A$ containing two or three elements is