The question asks:

How many compounds among the given compounds show inductive effect, mesomeric effect, and hyperconjugation effect simultaneously?

However, the actual list/structures of the compounds is missing from the prompt. Without the compounds, it is impossible to count how many satisfy all three conditions.

What is required for a compound to show all three?

A compound must have:

1. Inductive effect ($I$ effect)
   Presence of a polar substituent/group that can withdraw or donate electron density through $\sigma$-bonds.

2. Mesomeric effect ($M$ effect)
   A conjugated system or a group capable of resonance interaction, such as $-NO_2$, $-OH$, halogen, carbonyl, etc., attached to a $\pi$-system.

3. Hyperconjugation
   Usually requires at least one $\alpha$-hydrogen adjacent to a double bond, carbocation, radical, or aromatic substituent where $\sigma(C-H)$ can overlap with a neighboring empty/$\pi$ orbital.

Why the answer cannot be determined

Since the compounds themselves are not shown, we cannot examine:

• whether a substituent produces an inductive effect,
• whether resonance/mesomeric interaction is possible,
• whether suitable $\alpha$-hydrogens exist for hyperconjugation.

Therefore, the numerical answer cannot be verified from the information provided.

Comparison with stored answer

The stored correct answer is 4, but because the list of compounds is missing, I cannot independently derive or verify that value.

So I must disagree with the stored answer based on insufficient data, not because 4 is definitely wrong.