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Mathematics QUESTION #1277

For the system of equations with parameter $a$: $x+2y-3z=4$, $3x-y+5z=2$, $4x+y+(a^2-14)z=a+2$, the system has infinitely many solutions when $a$ equals:

2
$-2$
Both $2$ and $-2$✔️
No value of $a$

Correct Answer Logic:

Row-reducing the augmented matrix leads to the condition $(a^2-14-\text{something})z=a+2-\text{something}$. The coefficient of $z$ in the last row becomes $a^2-14+\frac{14}{7}\cdot...$. After elimination: $(a^2-4)z=(a-2)$ in the last equation. For infinite solutions: coefficient and RHS both zero: $a^2-4=0\Rightarrow a=\pm2$ and $a-2=0\Rightarrow a=2$. So infinite solutions at $a=2$; no solution at $a=-2$.

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Chemistry QUESTION #7356

Question 2

Two radiations have energies $E_1 = 25$ eV and $E_2 = 50$ eV. The relationship between their wavelengths $\lambda_1$ and $\lambda_2$ is:

$\lambda_1 = \lambda_2$
$\lambda_1 = 2\lambda_2$✔️
$\lambda_1 = 4\lambda_2$
$\lambda_1 = \dfrac{1}{2}\lambda_2$

Correct Answer Logic:

Using: $E = \dfrac{hc}{\lambda}$, so $\lambda \propto \dfrac{1}{E}$

$\dfrac{\lambda_1}{\lambda_2} = \dfrac{E_2}{E_1} = \dfrac{50}{25} = 2$

Therefore $\lambda_1 = 2\lambda_2$.

Higher energy photons have shorter wavelengths — a fundamental relationship from Planck's quantum theory.

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Electronics Engineering QUESTION #11725

Question 3

A mechanical relay rated at $10\,\text{A}$ resistive load is used to switch a $5\,\text{A}$ inductive AC load. The relay contact rating should be de-rated because:

Inductive loads have higher steady-state current
Inductive loads cause contact bounce on make
Arc energy at break is higher due to energy stored in inductance $E = \frac{1}{2}LI^2$ extending the arc✔️
Inductive loads cause coil voltage spikes in the relay

Correct Answer Logic:

When a relay breaks an inductive circuit, the magnetic energy $E = \frac{1}{2}LI^2$ stored in the inductor must be dissipated. This sustains an arc across opening contacts well beyond the natural current zero, causing excessive contact erosion, pitting, and welding. Inductive load relay contacts must be de-rated to typically 20–40% of resistive ratings. RC snubbers or MOV suppressors across contacts mitigate arc damage.

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Physics QUESTION #7334

Question 4

A particle of mass $m$ is projected with speed $v$ at $45°$ to the horizontal. When it returns to ground level, the magnitude of the change in momentum is:

$mv\sqrt{2}$✔️
Zero
$2mv$
$\dfrac{mv}{\sqrt{2}}$

Correct Answer Logic:

Initial vertical component: $v_y = v\sin45° = \dfrac{v}{\sqrt{2}}$ (upward)

On landing (by symmetry): $v_y' = \dfrac{v}{\sqrt{2}}$ (downward)

Horizontal component unchanged. Change in momentum:

$|\Delta\vec{p}| = m\left|\Delta v_y\right| = m\cdot\dfrac{2v}{\sqrt{2}} = \mathbf{mv\sqrt{2}}$

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MBBS QUESTION #10202

Question 5

A horseshoe kidney forms due to fusion of the lower poles of the developing kidneys anterior to the great vessels. Ascent of this fused kidney is typically arrested at the level of which structure?

The coeliac trunk
The inferior mesenteric artery✔️
The superior mesenteric artery
The renal veins alone, with no arterial involvement

Correct Answer Logic:

As the fused horseshoe kidney attempts to ascend from the pelvis, its isthmus becomes caught beneath the origin of the inferior mesenteric artery, arresting ascent at a lower-than-normal (usually L4-L5) vertebral level.

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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5724

Question 6

A medication error occurs when an infusion is administered at $100\text{ mL/hr}$ instead of the prescribed $50\text{ mL/hr}$. This is classified as which type of error?

Wrong preparation error
Wrong rate error✔️
Omission error
Unauthorized drug error

Correct Answer Logic:

Speeding up or slowing down an infusion is a 'Wrong rate error'.

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Physics QUESTION #391

Question 7

A 5 Ohm resistor is indicated by a single __________ color band around its body.

Red
Green✔️
Blue
Brown

Correct Answer Logic:

Green band indicates 5 ohms in resistor color code

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General Knowledge QUESTION #11455

Question 8

To view the items stored inside a folder in Windows Explorer, you should:

Click on it✔️
Collapse it
Name it
Give it a password

Correct Answer Logic:

In Windows Explorer (File Explorer), to view the contents of a folder you simply click on it — single click in the navigation pane to expand it, or double-click in the main window to open it, displaying all files and sub-folders in the right-hand pane.

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Math Physics Chemistry Biology QUESTION #542

Question 9

It controls the several automatic functions like breathing, heart rate and blood pressure:

Midbrain
Pons
Medulla✔️
Cerebellum

Correct Answer Logic:

Medulla oblongata controls autonomic functions

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Math (Module-1) QUESTION #5478

Question 10

In the given system of equations, a parabola $y = ax^2 + bx + c$ intersects a line. If they intersect at exactly one point $(x, y)$, what is the value of $x$?

-8
-6✔️
6
8

Correct Answer Logic:

Based on the original SAT test key, the intersection point occurs at $x = -6$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3221

Question 11

'Rhodopsin' is the light-sensitive pigment found in which cells?

Cones
Rods✔️
Bipolar cells
Ganglion cells

Correct Answer Logic:

Rods use rhodopsin for vision in dim light (scotopic vision).

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Accounting & Finance QUESTION #1203

Question 12

A not-for-profit organization's annual report emphasizes the use of funds to achieve its mission rather than profitability. This highlights:

Faithful representation in financial reporting.
The focus on accountability over profitability.✔️
Compliance with government regulations.
The reliance on accrual accounting.

Correct Answer Logic:

Not-for-profit organizations are primarily accountable to their donors, members, and the public for how they use their funds to fulfill their mission. Their financial reporting focuses on accountability — demonstrating responsible stewardship of resources — rather than generating profit for owners or shareholders.

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Maths QUESTION #7949

Question 13

If $5x^2 - 4x - 1$ is divided by $(x - 1)$, the remainder is:

2
1
None

Correct Answer Logic:

By the Remainder Theorem, substitute $x = 1$:
$5(1)^2 - 4(1) - 1 = 5 - 4 - 1 = 0$
Remainder $= 0$.

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Boilers Mechanical Engineering QUESTION #2396

Question 14

Kinematic viscosity $\nu$ is related to absolute (dynamic) viscosity $\mu$ and fluid density $\rho$ by:

$\nu = \mu \cdot \rho$
$\nu = \mu / \rho$✔️
$\nu = \rho / \mu$
$\nu = \mu^2 / \rho$

Correct Answer Logic:

Kinematic viscosity: $\nu=\mu/\rho$ (m²/s). The Reynolds number $Re=VL/\nu=\rho VL/\mu$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3309

Question 15

Most soil-dwelling bacteria that produce antibiotics belong to the genus:

*Escherichia*
*Streptomyces*✔️
*Salmonella*
*Lactobacillus*

Correct Answer Logic:

Streptomyces are responsible for more than half of all natural antibiotics.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2981

Question 16

The 'Formulary' part of a pharmacopoeia typically contains:

History of drugs
Formulas for preparing dosage forms✔️
Names of all doctors in the country
Price lists of medicines

Correct Answer Logic:

A formulary provides specific recipes and instructions for compounding pharmaceutical preparations.

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General Knowledge QUESTION #171

Question 17

The Book 'Pakistan's Security and The India-US Strategic Partnership' was written by:

Hassan Askari
Zafar Nawaz Jaspal✔️
Shahid Bukhari
None of these

Correct Answer Logic:

Dr. Zafar Nawaz Jaspal is a prominent analyst on strategic and nuclear affairs.

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Quantitative Reasoning QUESTION #7212

Question 18

The great majority of spacecraft face minimal collision risk from space debris during their active operational periods, but with the increasing number of new satellites being launched each year, the orbital environment going forward is likely to become less _____.

crowded
invulnerable
protected
benign✔️

Correct Answer Logic:

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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General Knowledge QUESTION #11483

Question 19

Which wireless networking technology connects devices over short distances using radio waves?

Bluetooth✔️
Wi-Fi
Modem
USB

Correct Answer Logic:

Bluetooth (IEEE 802.15.1) is a short-range wireless technology for exchanging data between devices typically up to 10 metres apart. It operates in the 2.4 GHz band. Common uses: wireless headphones, keyboards, mice, smartwatches, and file transfer. Wi-Fi covers longer distances; USB is wired.

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Biology Zoology Botany QUESTION #10774

Question 20

The largest part of the human brain is:

Cerebellum
Cerebrum✔️
Medulla Oblongata
Pituitary Gland

Correct Answer Logic:

The cerebrum (cerebral hemispheres) is the largest part of the human brain, comprising approximately 85% of total brain weight. It is divided into two hemispheres connected by the corpus callosum, and its outer layer — the cerebral cortex — is responsible for higher functions including consciousness, sensory processing, motor control, language, and cognition. The cerebellum is second largest; the medulla oblongata is part of the brainstem.

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