Study questions platform-wide or filter by specific tests with correct answers revealed.
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 90Β°; attempt to extend knee | Resistance/pain β cannot fully extend (positive if <135Β°) |
| Nuchal rigidity | Passive neck flexion | Resistance; chin cannot touch chest |
The question describes Brudzinski's sign first (neck flexion β knee/hip flex), then Kernig's sign (hip-knee 90Β° β 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 Γ 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.
The displacement of a particle is given by $s = t^3 - 6t^2 + 3t + 4$ metres. The velocity when acceleration is zero is:
$v = \dfrac{ds}{dt} = 3t^2 - 12t + 3$
$a = \dfrac{dv}{dt} = 6t - 12$
Setting $a = 0$: $t = 2\text{ s}$
$v\big|_{t=2} = 3(4) - 12(2) + 3 = 12 - 24 + 3 = \mathbf{-9\text{ m/s}}$
The hind leg bones found in whales are best described as:
Vestigial structures are remnants of organs that had a function in ancestors but are reduced/non-functional in current species. Whale hind limb bones indicate evolution from four-legged land mammals.
In the $xy$-plane, circle $C$ has center at $(-6,\ -7)$. The point $(-6,\ 5)$ lies inside the circle, and the point $(8,\ -7)$ lies outside the circle. If the radius $m$ of circle $C$ is an integer, what is the value of $m$?
The distance from the center $(-6, -7)$ to the inside point $(-6, 5)$:
$d_1 = \sqrt{(-6-(-6))^2 + (5-(-7))^2} = \sqrt{0 + 144} = 12$
Since $(-6, 5)$ is inside the circle: $m > 12$.
The distance from the center $(-6, -7)$ to the outside point $(8, -7)$:
$d_2 = \sqrt{(8-(-6))^2 + (-7-(-7))^2} = \sqrt{196 + 0} = 14$
Since $(8, -7)$ is outside the circle: $m < 14$.
So $12 < m < 14$, and $m$ is an integer, therefore $m = \mathbf{13}$.
This sentence has a contrast structure: spacecraft currently face little risk, but the future will be less _____. Whatever fills the blank must describe the current relatively safe state that will diminish in the future.
- Crowded — the future would logically become more crowded, not less. “Less crowded” contradicts the premise.
- Invulnerable — possible in isolation, but not a natural descriptor of an orbital environment as a whole.
- Protected — implies external protective mechanisms, which is not the argument’s focus.
- Benign — means safe and harmless. The current environment is benign (low risk), and the future will be less benign (more dangerous). This fits perfectly.
Correct Answer: D — Benign. The logic requires a word describing the current “safe” state that will erode as more satellites are launched.
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