Which of the following is not correct?

In which of the following organic compounds are all effects (i.e.,mesomeric effect,hyperconjugation effect,and inductive effect) present?

In which of the following does the hyperconjugation effect operate?

The migratory aptitude of the following groups in decreasing order is:

Given below are two statements:
Statement $I$: In $O_2N-C_6H_4-CH^+-C_6H_4-OCH_3$,the carbocation is stabilised by $+R$ effect of $-OCH_3$ group.
Statement $II$: In $O_2N-C_6H_4-CH^--C_6H_4-OCH_3$,the carbanion is stabilised by $-R$ effect of $-NO_2$ group.
In the light of the above statements,choose the correct answer from the options given below:

$+I$ effect is shown by: