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Financial data: Profit from operations $125,000; Profit for year $116,000; Shareholders' equity $423,000; Long-term loan $80,000; Current liabilities $45,000. What is the ROCE?
Option D (24.85%) is correct.
ROCE = Profit from operations ÷ Capital Employed × 100
Capital Employed = Shareholders' equity + Non-current liabilities = $423,000 + $80,000 = $503,000
(Current liabilities are excluded from capital employed.)
ROCE = $125,000 ÷ $503,000 × 100 = 24.85%
Meningeal Irritation Signs:
| Sign | Test | Positive Finding |
|---|---|---|
| Brudzinski's Sign | Passive neck flexion (supine patient) | Involuntary flexion of hips and knees |
| Kernig's Sign | Hip and knee flexed to 90ยฐ; attempt to extend knee | Resistance/pain โ cannot fully extend (positive if <135ยฐ) |
| Nuchal rigidity | Passive neck flexion | Resistance; chin cannot touch chest |
The question describes Brudzinski's sign first (neck flexion โ knee/hip flex), then Kernig's sign (hip-knee 90ยฐ โ cannot extend knee).
Meningitis management (bacterial):
- IV Ceftriaxone \(100\,\text{mg/kg/day}\) in 2 divided doses
- Dexamethasone \(0.15\,\text{mg/kg}\) IV every 6 hrs ร 4 days (reduces inflammation, hearing loss)
- Isolate patient for first 24 hrs of antibiotics
CSF findings in bacterial meningitis: Turbid, \(\uparrow\) WBC (neutrophils), \(\downarrow\) glucose, \(\uparrow\) protein, positive culture/Gram stain.
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, $R \approx 2.8\text{ m}$.
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