Which of the following is an equivalent set?

# Which of the following is an equivalent set?

1. A

A = { a,b.c,d },B = { d,c,b,a }

2. B

A = { 4,8,12,16}, B = { 8,4,16,18 }

3. C

A = { $\chi$ : $\chi$ is multiple of 10 }

B = { 10,15,20,25,30 }

4. D

None of these

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### Solution:

(a) Here, all the elements of the sets $A$ and $B$ are same which are $a,b,c$ and $d$. Thus, $A$ = $B$. So , A and B are equivalent set

(b) Here, 12 is an element of $A$ but not the element of $B$ and 18 is an element of $B$ but not  the element of $A$. Thus, all the elements of the sets $A$ and $B$ are not same. Hence, $A$ $\ne$$B$.

(c) Here,  { $\chi$ : $\chi$ is a multiple of 10} $\left\{10,20,30,40,\dots \right\}$ and $B=\left\{10,15,20,25,30,..\right\}$

Clearly, $A$$\ne$$B$ as all the elements of the sets $A$ and $B$ are not same.

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