Difference of Sets

IMPORTANT

Difference of Sets: Overview

This topic discusses the difference of sets and how it is represented symbolically, i.e. the difference of sets A and B is A–B. It also explains how it can be represented as a diagram.

Important Questions on Difference of Sets

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IMPORTANT

For any two sets A and BA-A-B is equal to

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IMPORTANT

Let A be te set of non-negative integers, I is the set of integers, B is the set of non-positive integers, E is the set of even integers and P is the set of prime numbers then

EASY
IMPORTANT

If X=x:x2-12x+20=0 and Y=x:x2+5x-14=0, then X-Y=

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When AB, then A-B=

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If nAB=97,nAB=23 and nA-B=39, then nB is equal to

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IMPORTANT

The set B-A from the figure is  Question Image

MEDIUM
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The number of elements in set A is 40, the number of elements in the intersection of the sets A,B is 25. Find the number of Elements in the difference of two sets A,B.

MEDIUM
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In a class of 60 students, 25 students play cricket, 20 students play tennis and 10 students play both the games. Then the number of students who play tennis only is

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IMPORTANT

As per question No.33 with the same order of options (a), (b), (c) and (d) the set B' is

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As per question No.24 A-B  is

EASY
IMPORTANT

If AB=(A-B)(B-A) and A={1,2,3,4},B={3,5,7} than AB is

MEDIUM
IMPORTANT

The sum of the digits in a three digit number is 12 . If the digits are reversed the number is increased by 495 but reversing only of the ten's and unit digits increases the number by 36 . The number is _____.

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IMPORTANT

If number of terms in sets n(A-B)=20, n(AB)=80 and n(AB)=30, then find n(B).

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IMPORTANT

If A & B are two sets defined as, A={x-8<x<4,x} and B={x-2<x11, x}, then find nAB

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IMPORTANT

If R is the set of real numbers and Q is the set of rational numbers, then what is R-Q ?

EASY
IMPORTANT

Let A={3,6,12,15,18,21},B={4,8,12,16,20},C={2,4,6,8,10,12,14,16} and  D={5,10,15,20}. Find

D-C

MEDIUM
IMPORTANT

Let A={3,6,12,15,18,21},B={4,8,12,16,20},C={2,4,6,8,10,12,14,16} and  D={5,10,15,20}. Find

C-D

MEDIUM
IMPORTANT

Let A={3,6,12,15,18,21},B={4,8,12,16,20},C={2,4,6,8,10,12,14,16} and  D={5,10,15,20}. Find

D-B

MEDIUM
IMPORTANT

Let A={3,6,12,15,18,21},B={4,8,12,16,20},C={2,4,6,8,10,12,14,16} and  D={5,10,15,20}. Find

C-B

MEDIUM
IMPORTANT

If A=(-7,3]B=[2,6] and C=[4,9] Then find A-B