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Match Item I (compound) with the correct Item II (reagent/property):
| Item I | Item II |
|---|---|
| (A) Acetaldehyde | (P) Tollen's reagent |
| (B) Benzaldehyde | (Q) Lucas reagent |
| (C) Cyclohexanol | (R) NaHSO$_3$ |
| (D) Phenol | (S) FeCl$_3$ |
Matching logic:
- Acetaldehyde (CH$_3$CHO): Aliphatic aldehyde โ gives silver mirror with Tollen's reagent (P).
- Benzaldehyde (PhCHO): Aromatic aldehyde โ forms addition compound with NaHSO$_3$ (R) (bisulphite addition).
- Cyclohexanol: Secondary alcohol โ reacts with Lucas reagent (Q) (ZnCl$_2$/HCl) to form turbid chloride (within minutes).
- Phenol: Gives characteristic violet colour with FeCl$_3$ (S).
Correct: (A)โ(P), (B)โ(R), (C)โ(Q), (D)โ(S)
Radius of curvature $R = \frac{v^2}{a_{\perp}}$.
- At $t=1$: $v_x = 10 \cos 60^{\circ} = 5$; $v_y = 10 \sin 60^{\circ} - 10(1) = 5\sqrt{3} - 10 \approx -1.34$.
- Total $v = \sqrt{5^2 + (-1.34)^2} \approx 5.18$.
- $a_{\perp} = g \cos \theta$ where $\theta$ is the angle of the velocity vector. After calculation, $R \approx 2.8\text{ m}$.
From the following data, calculate the value of purchases of raw materials:
Raw material consumed $= \text{Rs. }26{,}500$; Closing stock $= \text{Rs. }4{,}500$; Opening stock $= \text{Rs. }3{,}000$.
Using the raw material formula:
$\text{Purchases} = \text{Consumption} + \text{Closing Stock} - \text{Opening Stock}$
$= 26{,}500 + 4{,}500 - 3{,}000 = \mathbf{Rs.\ 28{,}000}$
Opening stock plus purchases minus closing stock equals consumption. Rearranging: Purchases $=$ Consumption $+$ Closing Stock $-$ Opening Stock.
Data: Average inventory $15,000; Rate of inventory turnover 8 times; Mark-up 25%. What is the business's revenue (sales)?
Option B ($150,000) is correct.
COGS = 8 × $15,000 = $120,000
Mark-up 25%: Revenue = $120,000 × 1.25 = $150,000
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