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1.Set Theory
easy
Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\{ 0,1,2,3,4,5,6\} $
Option A
Option B
Option C
Option D
Solution
It can be seen that $A \subset\{0,1,2,3,4,5,6\}$
$B \subset\{0,1,2,3,4,5,6\}$
However, $C \not\subset \{ 0,1,2,3,4,5,6\} $
Therefore, the set $\{0,1,2,3,4,5,6\}$ cannot be the universal set for the sets $A , B ,$ and $C.$
Standard 11
Mathematics
Similar Questions
Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
| $(i)$ $\{1,2,3,6\}$ | $(a)$ $\{ x:x$ is a prime number and a divisor $6\} $ |
| $(ii)$ $\{2,3\}$ | $(b)$ $\{ x:x$ is an odd natural number less than $10\} $ |
| $(iii)$ $\{ M , A , T , H , E , I , C , S \}$ | $(c)$ $\{ x:x$ is natural number and divisor of $6\} $ |
| $(iv)$ $\{1,3,5,7,9\}$ | $(d)$ $\{ x:x$ a letter of the work $\mathrm{MATHEMATICS}\} $ |
medium
