
Concept:
Thus, the required conditions are:
Step 1: Check the given structures.
Compounds containing the group: \[ -CONH_2 \] undergo Hofmann rearrangement and produce primary amines.
Step 2: Exclude substituted amides.
Compounds with: \[ -CONHCH_3 \quad \text{or} \quad -CONHC_2H_5 \] produce secondary amines, which cannot be prepared by Gabriel synthesis.
Step 3: Count valid compounds.
Only those compounds which:
Number of such compounds: \[ 3 \]
Final Answer:
\[ \boxed{3} \]


Find the area of the region \[ R = \{(x, y) : xy \le 27,\; 1 \le y \le x^2 \}. \]
An object of uniform density rolls up the curved path with the initial velocity $v_o$ as shown in the figure. If the maximum height attained by an object is $\frac{7v_o^2}{10 g}$ ($g=$ acceleration due to gravity), the object is a _______
