Let  $A=\{1,\left\{1\right\},2,\{3,4\},\varphi ,\left\{\varphi \right\}\}$ Consider the following statements (where $\varphi$ is NULL set)

(i) $1\in A$       (ii) $\left\{1\right\}\subset A$     (iii)  $\left\{1\right\}\in A$        (iv)   $\left\{2\right\}\in A$
(v) $\varphi \subset A$      (vi)  $\varphi \in A$      (vii)  $\left\{\varphi \right\}\subset A$      (viii)  $\{1,\left\{3\right\}\}\in A$
 number of correct statements are

In general, the symbol $\in$ used between an element and set.  and the subset or superset symbol will be used between two sets. 

(i) $1\in A$, this is correct because 1 is an element of the set $A$

(ii) $\left\{1\right\}\subset A$, this is correct statement because 1 is an element of $A$ 

(iii) $\left\{1\right\}\in A$, this is correct. 

(iv) $\left\{2\right\}\in A$, this is wrong, since $\left\{2\right\}$ is not an element in the set $A$

(v) $\varphi \subset A$, this is correct, because empty set is subset of any set. 

(vi) $\varphi \in A$, this is correct, since $\varphi$ is an element of $A$

(vii) $\left\{\varphi \right\}\subset A$, This is correct,  set having $\varphi$ as an element is subset of $A$

(viii) $\{1,\left\{3\right\}\}\in A$, this is wrong because between two sets the symbol must be either super set or subset. 

out of 8, 6 statements are correct.