Match List-I with List-II for the following reaction pattern: \[ \text{Glucose} \quad \text{Reagent} \quad \rightarrow \quad \text{Product} \quad \rightarrow \quad \text{Structural prediction} \]
Which of the following is not an aromatic compound?
Among the following, identify the compound that is not an isomer of hexane:
Chlorobenzene reacts with bromine gas in the presence of Anhydrous AlBr_3 to yield p-Bromochlorobenzene. This reaction is classified as
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]