If $A$ is any set, then

Important Questions on Sets, Relations and Functions

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 11

Let $X=\{x/x\in N, 1\le x\le 8\}, A=\{1, 2, 3\}, B=\{2, 4, 6\}, C=\{1, 3, 5, 7\},$ then $(A\cup B{)}^{\text{'}}=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 12

If $A=\{a, e, i, o, u\}, C=\{p, q, r,\dots , z\}$ and $X=\{a, b, c,\dots , z\}$ is the universal set, then $(A\cup C{)}^{\text{'}}=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 13

$A=\left\{x|x^2-7x+12=0\right\},$ $B=\left\{x|x^2-x-12=0\right\},$ then $A\cap B=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 14

$B=\left\{x|x^2-x-12=0\right\},$ $C=\left\{x|x^2-8x+15=0\right\},$ then $B\cup C=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 15

If $C=\left\{x\right|x$ is an odd number $\},$ $D=\left\{x\right|x$ is a prime number $\},$ $C\cap D=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 16

If $A=\{x\mid x$ is a multiple of $2, x\in N\},$ $B=\{x\mid x$ is a multiple of $5, x\in N\},$ $C=\{x\mid x$ is a multiple of $10,x\in N\},$ then $A\cap (B\cup C)=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 17

If $X$ is the universal set and $A, B$ are subsets of $X$ such that $n\left(X\right)=99, n\left(A^{\text{'}}\right)=80,$ $n\left(B^{\text{'}}\right)=85$ and $n(A\cap B{)}^{\text{'}}=94,$ then $n(A\cup B)=$

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 18

Which of the following is an empty set?