The organic compound that gives following qualitative analysis is :
`{:(,"Test","Inference"),((a),Dil.HCl,"Insoluble"),((b),NaOH" solution","soluble"),((c ),Br_(2)//"water","Decolourization"):}`

Options

A.
B.
C.
D.

Explanation

To determine the organic compound based on the qualitative analysis provided, we will analyze each of the tests and their inferences step by step.

### Step 1: Analyze the solubility in Dilute HCl
- The compound is **insoluble** in dilute HCl. This suggests that the compound is not an acid or does not have acidic properties, as acids typically dissolve in dilute HCl.

**Hint:** Consider the nature of the compound based on its solubility in acids.

### Step 2: Analyze the solubility in NaOH solution
- The compound is **soluble** in NaOH solution. This indicates that the compound likely has acidic properties, as it can react with the base (NaOH) to form a soluble salt.

**Hint:** Think about compounds that can react with bases to form soluble salts.

### Step 3: Analyze the reaction with Br2 water
- The compound causes **decolorization** of Br2 water. This is a characteristic reaction of unsaturated compounds (like alkenes or phenols), which can react with bromine to form dibrominated products, leading to the loss of color.

**Hint:** Unsaturated compounds typically undergo addition reactions with bromine.

### Step 4: Combine the observations
- From the above steps, we have determined:
- The compound is **insoluble in dilute HCl** (not an acid).
- The compound is **soluble in NaOH** (indicates it is acidic).
- The compound **decolorizes Br2 water** (indicates it is unsaturated).

### Step 5: Identify the possible compounds
- The characteristics we have identified suggest that the compound is likely a phenol. Phenols are acidic (hence soluble in NaOH), and they have unsaturation (the benzene ring) which allows them to decolorize bromine water.

**Hint:** Recall the properties of phenols and how they interact with bases and bromine.

### Conclusion
Based on the qualitative analysis, the organic compound is **phenol**. It is insoluble in dilute HCl, soluble in NaOH, and decolorizes Br2 water.

**Final Answer:** Phenol