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Mathematics QUESTION #1286

A subgroup $H$ of a group $G$ is called normal if for all $g\in G$:

gH=H
gHg^{-1}\subseteq H✔️
H contains the identity
H is abelian

Correct Answer Logic:

A subgroup $H$ is normal in $G$ if $gHg^{-1}=H$ (equivalently $gHg^{-1}\subseteq H$) for all $g\in G$. This means left and right cosets coincide: $gH=Hg$ for all $g\in G$. Normal subgroups are the kernels of homomorphisms.

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Therapeutics and Patient Care QUESTION #3916

Question 2

Which antiemetic agent is most clinically appropriate for the treatment of vertigo?

Ondansetron
Metoclopramide
Prochlorperazine✔️
Selegiline

Correct Answer Logic:

Prochlorperazine is a phenothiazine with vestibular suppressant and antiemetic properties, making it the most appropriate choice for vertigo management among the listed options.

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Reading and Writing (Module-1) QUESTION #5429

Question 3

Francis Cecil Sumner was a psychologist and also a(n) ____ increasing opportunities for Black students: he helped found Howard University's psychology department.

proponent of✔️
supplement to
beneficiary of
distraction for

Correct Answer Logic:

He supported increasing opportunities, so "proponent of" fits.

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Accounting & Finance QUESTION #6196

Question 4

Calculate the Future Value ($FV$) of $\$2,000$ invested for $2$ years at $10\%$ compound interest.

$2,200
$2,400
$2,420✔️
$2,662

Correct Answer Logic:

$FV = 2000(1.10)^2 = 2000 \times 1.21 = 2420$ [cite: 50, 51].

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Mathematics QUESTION #4118

Question 5

Which IS a valid basis for the subspace of symmetric $2 \times 2$ matrices?

$\left\{\begin{pmatrix} 1 & 0 \ 0 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 0 \ 0 & 1 \end{pmatrix}\right\}$
$\left\{\begin{pmatrix} 1 & 1 \ 1 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 1 \ 1 & 1 \end{pmatrix}, \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}\right\}$
$\left\{\begin{pmatrix} 1 & 0 \ 0 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 1 \ 1 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 0 \ 0 & 1 \end{pmatrix}\right\}$✔️
$\left\{\begin{pmatrix} 1 & 1 \ 0 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 0 \ 1 & 1 \end{pmatrix}, \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix}\right\}$

Correct Answer Logic:

Option C gives standard basis for symmetric matrices. Option A has only 2 matrices (dimension 3 needed). Option B matrices are linearly dependent. Option D contains non-symmetric matrices.

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Mathematics QUESTION #1332

Question 6

For a parabola $y^2=4ax$, the latus rectum is the chord through the focus perpendicular to the axis. Its $x$-coordinate is:

$a$✔️
$2a$
$4a$

Correct Answer Logic:

For the parabola $y^2=4ax$, the focus is at $(a,0)$. The latus rectum is the vertical chord through the focus, so it is at $x=a$. The arc from vertex $(0,0)$ to the latus rectum end ($x=a$) is used to find the center of mass of the corresponding surface of revolution.

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Ability / HR / Governance / Special Education QUESTION #1885

Question 7

Under Rule 6(2) what is the minimum and maximum time given to an accused to submit a written defence after the charge is communicated?

Minimum 3 days maximum 7 days
Minimum 7 days maximum 14 days✔️
Minimum 14 days maximum 21 days
Minimum 10 days maximum 20 days

Correct Answer Logic:

Rule 6(2) specifically prescribes not less than seven days and not more than fourteen days for submitting a written defence.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3169

Question 8

The pH of human blood is normally within the range of:

$6.5$ to $7.0$
$7.35$ to $7.45$✔️
$7.0$ to $8.0$
$1.0$ to $3.0$

Correct Answer Logic:

Blood is slightly alkaline and strictly regulated.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3596

Question 9

'Senna' and 'Aloe' belong to which chemical class of glycosides?

Saponin Glycosides
Anthraquinone Glycosides✔️
Cardiac Glycosides
Cyanophore Glycosides

Correct Answer Logic:

Anthraquinone glycosides are well known for their stimulant laxative properties.

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General Abilities QUESTION #7659

Question 10

If three arithmetic means are inserted between 5 and 25, the second arithmetic mean is:

$10$
$15$✔️
$20$
None of these

Correct Answer Logic:

When three arithmetic means are inserted between 5 and 25, we have 5 terms total: 5, a₁, a₂, a₃, 25. Common difference $d = \frac{25-5}{4} = 5$. The terms are: 5, 10, 15, 20, 25. The second arithmetic mean is 15.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3595

Question 11

'Digitalis purpurea' (Foxglove) contains glycosides used as:

Laxatives
Cardiotonics (Heart stimulants)✔️
Sedatives
Antiseptics

Correct Answer Logic:

Digitalis increases the force of heart contraction in heart failure.

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General Knowledge QUESTION #2599

Question 12

A PDA (Personal Digital Assistant) made a significant contribution to computing history primarily by:

Introducing the first graphical user interface
Allowing computing to go mobile for the first time✔️
Developing the first internet browser
Creating the first spreadsheet application

Correct Answer Logic:

A PDA (Personal Digital Assistant) allows computing to go mobile. It was a handheld device combining computing, communication, and organizational tools — a key step toward today's smartphones and tablets.

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General Abilities QUESTION #3965

Question 13

If the length of a rectangle's base is expanded by $30\%$ while its height is reduced by $20\%$, by what percentage does the total area increase?

$25\%$✔️
$10\%$
$5\%$
$1\%$

Correct Answer Logic:

4

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Biomedical Sciences QUESTION #3800

Question 14

What is the physiological effect of parathyroid hormone (PTH) on calcium and phosphate metabolism?

Increased mobilisation of calcium from bone✔️
Decreased renal tubular reabsorption of calcium
Decreased resorption of phosphate from bone
Decreased excretion of phosphate

Correct Answer Logic:

PTH raises serum calcium by stimulating osteoclastic bone resorption, increasing renal tubular calcium reabsorption, and promoting renal phosphate excretion.

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Psychology QUESTION #1455

Question 15

Which term is used for the study of psychological development across the lifespan?

Cognitive psychology
Developmental psychology✔️
Social psychology
Neuropsychology

Correct Answer Logic:

Developmental psychology is the scientific study of how and why humans change across the entire lifespan — from conception through old age. It examines physical, cognitive, emotional, and social development. Key theorists include Piaget (cognitive development), Erikson (psychosocial development), and Vygotsky (social learning). Social psychology studies group behavior; neuropsychology focuses on brain-behavior relationships.

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Biology Zoology Botany QUESTION #1347

Question 16

Which type of biome has the highest annual precipitation?

Tropical rainforests✔️
Grasslands
Tundra
None of these

Correct Answer Logic:

Tropical rainforests receive the highest annual precipitation of any terrestrial biome, averaging 2,000–4,000 mm (200–400 cm) per year with consistently high temperatures. This combination supports the highest terrestrial biodiversity. Grasslands receive moderate rainfall (250–750 mm/year), and tundra receives very low precipitation (less than 250 mm/year).

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Math Physics Chemistry Biology QUESTION #729

Question 17

One light year is equal to:

9 x 10^12 m
6 x 10^12 m
9.5 x 10^13 m✔️
None

Correct Answer Logic:

One light year is the distance light travels in one year = 9.461 x 10^15 m ≈ 9.5 x 10^15 m. The closest answer is 9.5 x 10^13 m (option C as given in paper).

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Physics and Math QUESTION #764

Question 18

If $a$ is 1st term and $r$ is common ratio, then $(n+1)$th term is?

$ar^n$✔️
$ar$
$a$
None

Correct Answer Logic:

The general term of a GP is $T_n = ar^{n-1}$, so the $(n+1)$th term is $T_{n+1} = ar^n$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3594

Question 19

Glycosides are compounds that, upon hydrolysis, yield a sugar part called 'Glycone' and a non-sugar part called:

Anion
Aglycone (Genin)✔️
Enzyme
Lactose

Correct Answer Logic:

The aglycone part is usually responsible for the therapeutic activity of the glycoside.

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Ability / HR / Governance / Special Education QUESTION #1928

Question 20

Under Rule 20(5) the Cabinet Secretary shall ordinarily issue the agenda and summaries to Ministers how many days in advance of a Cabinet meeting?

One day
Two days
Three days✔️
Seven days

Correct Answer Logic:

Rule 20(5) states that the Cabinet Secretary shall ordinarily issue the circular showing proposed agenda and summaries to Ministers three days in advance of a meeting; in special meetings the agenda may be issued with less than three days' notice.

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