Equal, Equivalent and Unequal Sets

Q.

Which of the following is/are equal sets?

1. A = Set of prime numbers less than 6

   B = set of prime factors of 30

2. A = {x: x - 5 = 0}

   B = {x: x is a positive integral root of the equation $x^2$-2x-15=0 }

3. A = {x: x is even integer and x ≤ 10}

   B = {2, 4, 6, 8, 10}

4. A = {x: x is a letter in the word FELLOW}

   B = {y: y is a letter in the word WOLF}

Q. Choose the correct pair of Equivalent Sets.

1. $\{1,4,c,d\}$
2. $\{1,2,2,3\}$
3. $\{a,b,d,e\}$
4. $\{p,p,q,q,r\}$
5. $\{1,1,1,1,p\}$
6. $\{r,1,1,1,1\}$

Q. $A$ is set of letters of the word 'NARAYANA'
$B$ is the set of letters of the word 'ARANYA'.
Then which of the following option is incorrect ?

1. $A$ and $B$ are equivalent sets
2. $A$ and $B$ are equal sets
3. $n\left(A\right)=n\left(B\right)$
4. $n\left(A\right)>n\left(B\right)$

Q. Select which of the following pair of sets are equivalent sets.

1. $\{2,10,15,20\}\&\{10,20,15,2\}$
2. $\{a,b,c,d,e\}\&\{a,c,d,e,a\}$
3. $\{x:x\text{is a positive multiple of 7}\}$ and $\{7,14,21,28,...\}$