Each \(\text{NH}_2\) group increases molecular weight by 42 upon acetylation:
\[ 192 - 108 = 84 \] \[ \frac{84}{42} = 2 \]Thus, the compound \(x\) has:
\[ \text{2 amino groups.} \]The descending order of basicity of following amines is :
Choose the correct answer from the options given below :
Which of the following amine(s) show(s) positive carbamylamine test?
The correct order of basicity for the following molecules is:
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: