If $A=\{a,b,c,d\}$ list the element of power set $P\left(a\right)$

Important Questions on Sets, Relations and Functions

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

If $A=\left\{1,2,3,\dots \dots 10\right\}$ then number of subsets of $A$ containing only odd numbers is

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Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

If $A$ and $B$ are two non-empty finite sets having $3$ and $4$ elements respectively, then what would be the possible number of subsets of $A\times B?$

MEDIUM

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

Two finite sets $A$ and $B$ have $m$ and $n$ elements respectively. If the total number of subsets of $A$ is $112$ more than the total number of subsets of $B$, then the value of $m$ is

HARD

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

Let $Z$ be the set of integers. If $A=\left\{x\in Z: 2^{\left(x+2\right)\left(x^2-5x+6\right)}=1\right\}$ and $B=\{x\in Z:-3<2x-1<9\}$, then the number of subsets of the set $A\times B$, is :

EASY

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

MEDIUM

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If $X=\left(4^n-3n-1:n\in N \right)$ and $Y=\left\{9\left(n-1\right):n\in N\right\}$, then $X\cap Y=$

MEDIUM

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $48$ more than the total number of subsets of the second. The values of $m$ and $n$ respectively, are

EASY

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

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The number of proper subsets of a set having $n+1$ elentents is

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The total number of subsets of the set $\{1, 2, \dots \dots ,10\}$ which do not contain the element $6$ is

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Let $S=\left\{1, 2, 3, \dots .,100\right\}$, then number of non-empty subsets $A$ of $S$ such that the product of elements in $A$ is even is :

HARD

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

Let $A$ and $B$ be two sets containing four and two elements respectively. Then the number of subsets of the set $A\times B$, each having at least three elements is

EASY

Quantitative Aptitude>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

MEDIUM

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

Let $A$ and $B$ be two sets containing $2$ elements and $4$ elements respectively. The number of subsets of $A\times B$ having $3$ or more elements is :

EASY

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

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Quantitative Aptitude>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:

MEDIUM

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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

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There is a set $P$ of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that $M=4^{10}.$ How many elements will be there in power set of $P$ ?

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

If the total number of $m$-element subsets of the set $A=\left\{a_1,a_2,\dots ,a_n\right\}$ is $k$ times the number of $m$ element subsets containing $a_4$, then $n$ is

EASY

Quantitative Aptitude>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