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Chemistry QUESTION #1008

The species which does NOT undergo disproportionation reaction is:

$\text{ClO}_3^-$
$\text{ClO}^-$
$\text{ClO}_2^-$
$\text{ClO}_4^-$✔️

Correct Answer Logic:

$\text{ClO}_4^-$ (perchlorate) has chlorine in its highest oxidation state ($+7$), so it cannot be oxidized further. Disproportionation requires an element to be simultaneously oxidized and reduced, which is impossible at the maximum oxidation state.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2566

Question 2

Under section 7(3), where the person providing the service and the recipient are ASSOCIATED PERSONS and the service is supplied for no consideration or lower consideration, the value of the service shall be:

The cost of providing the service
Open market price of the service
The price at which the service is provided to non-associated persons✔️
Zero, since no consideration is received

Correct Answer Logic:

Section 7(3) states that where parties are associated persons and the service is supplied for no consideration or lower consideration, the value shall be the price at which the service is provided to OTHER PERSONS WHO ARE NOT ASSOCIATED PERSONS.

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Math Physics Chemistry Biology QUESTION #739

Question 3

The range of visible wavelength spectrum is:

400-750 nm✔️
100-400 nm
400-1000 nm
300-600 nm

Correct Answer Logic:

The visible light spectrum ranges from approximately 400 nm (violet) to 750 nm (red).

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3190

Question 4

'Cardiac Output' is calculated by which formula?

$\text{Heart Rate} \times \text{Stroke Volume}$✔️
$\text{Blood Pressure} / \text{Resistance}$
$\text{Pulse Pressure} + \text{Diastolic Pressure}$
$\text{Volume} / \text{Time}$

Correct Answer Logic:

Cardiac Output ($CO$) is the volume of blood pumped by each ventricle per minute.

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General Knowledge QUESTION #169

Question 5

Which article of Pakistan's constitution talks about a clean environment?

Article 8A
Article 9A
Article 7A
None of these✔️

Correct Answer Logic:

While the right to a clean environment is read into Article 9 (Right to Life), there is no specific Article 9A/8A/7A.

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Chemistry QUESTION #5576

Question 6

The strongest acid among the following compounds is:

HCOOH (formic acid)
$CH_3CH_2CH(Cl)CO_2H$ (2-chlorobutanoic acid)✔️
$ClCH_2CH_2CH_2COOH$ (4-chlorobutanoic acid)
$CH_3COOH$ (acetic acid)

Correct Answer Logic:

Acid strength increases with electron-withdrawing inductive effect of substituents closer to the –COOH group. In option B, Cl is at the $\alpha$-carbon (adjacent to –COOH), providing maximum inductive withdrawal. In option C, Cl is at the $\gamma$-position (far from –COOH), with much weaker inductive effect. Formic acid (A) is stronger than acetic acid (D) but weaker than $\alpha$-chloro acid.

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Accounting & Finance QUESTION #1225

Question 7

Taxes are an important instrument of which of the following policy?

Monetary Policy
Fiscal Policy✔️
Trade Policy
Economic Policy

Correct Answer Logic:

Taxes are the core instrument of Fiscal Policy — the government's use of revenue collection (taxes) and spending to influence aggregate demand, resource allocation, income distribution, and economic stability. Monetary policy uses interest rates and money supply, while trade policy uses tariffs and trade agreements.

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Civil Procedure QUESTION #3736

Question 8

In a criminal trial for assault, the prosecution wants to introduce evidence that the defendant has a reputation in the community for being a 'violent bully.' The defendant has not yet testified or introduced any evidence of his own character. Is this evidence admissible?

Yes, to show that the defendant likely committed the assault.
No, because the prosecution cannot introduce negative character evidence to show propensity until the defendant 'opens the door.'✔️
Yes, but only as 'habit' evidence.
No, unless it is a bench trial.

Correct Answer Logic:

Under Federal Rule of Evidence 404(a), character evidence is generally inadmissible to prove that on a particular occasion the person acted in accordance with the character (propensity), unless the defendant first introduces evidence of their own good character.

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Mathematics QUESTION #1255

Question 9

If $\varphi: \mathbb{Z}_6 \to \mathbb{Z}_6$ is a one-to-one (injective) homomorphism, then $\ker(\varphi)$ is:

{$\bar{0}, \bar{2}, \bar{4}$}
{$\bar{0}, \bar{3}$}
{$\bar{0}$}✔️
All of $\mathbb{Z}_6$

Correct Answer Logic:

A one-to-one (injective) homomorphism has trivial kernel. Since $\ker(\varphi) = \{x : \varphi(x) = 0\}$ and $\varphi$ is injective, only $\varphi(0)=0$, so $\ker(\varphi) = \{\bar{0}\}$.

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Ability / HR / Governance / Special Education QUESTION #1885

Question 10

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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Administration QUESTION #2928

Question 11

The "Open System" of recruitment in public service allows for:

Entry only at the base level
Lateral entry at various levels✔️
Only internal promotions
No competitive testing

Correct Answer Logic:

An open system allows qualified candidates from outside the government to enter the service at different ranks or specialized positions.

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Biology QUESTION #4235

Question 12

Arthritis is a disease that primarily affects the

Kidneys
Lungs
Joints✔️
Muscles

Correct Answer Logic:

Arthritis affects joints.

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Urdu QUESTION #2951

Question 13

نسلی اعتبار سے لفظ اردو کس زبان کا لفظ ہے؟

سنسکرت
برج بھاشا
ترکیہ
ترکی✔️

Correct Answer Logic:

No explanation provided for this question.

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Physics QUESTION #7095

Question 14

A projectile trajectory is $y = \alpha x - \beta x^2$. Find the angle of projection and max height $H$.

$tan^{-1}\alpha$, $\frac{4\alpha^{2}}{\beta}$
$tan^{-1}\beta$, $\frac{\alpha^{2}}{2\beta}$
$tan^{-1}(\frac{\beta}{\alpha})$, $\frac{\alpha^{2}}{\beta}$
$tan^{-1}\alpha$, $\frac{\alpha^{2}}{4\beta}$✔️

Correct Answer Logic:

Compare $y = \alpha x - \beta x^2$ with $y = x \tan\theta - \frac{gx^2}{2u^2 \cos^2\theta}$.

$\tan\theta = \alpha \implies \theta = \tan^{-1}\alpha$.
Max height occurs at $x = \frac{\alpha}{2\beta}$ (where $dy/dx = 0$).
$H = \alpha(\frac{\alpha}{2\beta}) - \beta(\frac{\alpha}{2\beta})^2 = \frac{\alpha^2}{2\beta} - \frac{\alpha^2}{4\beta} = \frac{\alpha^2}{4\beta}$.

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Physics QUESTION #4390

Question 15

If a body having mass $m_1 = 2\ kg$ moving with $5\ m/s$ approaches another mass $m_2 = 3\ kg$ with $1\ m/s$ in the same direction, relative speed of approach is $4\ m/s$. Relative speed of separation after collision will be:

$4\ m/s$✔️
$2\ m/s$
$6\ m/s$
Depends on masses

Correct Answer Logic:

By the law of conservation of momentum and the coefficient of restitution for elastic collisions: relative speed of approach $=$ relative speed of separation. Since relative speed of approach $= 5 - 1 = 4\ m/s$, the relative speed of separation $= 4\ m/s$.

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Islamic Studies QUESTION #351

Question 16

Jerusalem was conquered in the period of:

Hazrat Abu Bakr (RA)
Hazrat Umar (RA)✔️
Hazrat Usman (RA)
Hazrat Ali (RA)

Correct Answer Logic:

Jerusalem was surrendered to Caliph Hazrat Umar (RA) in 637 AD.

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Physics QUESTION #7096

Question 17

A ball dropped from $5\text{ m}$ bounces back to $81/100$ of its previous height repeatedly. Find its average speed ($g=10\text{ ms}^{-2}$).

$3.50\text{ ms}^{-1}$
$2.0\text{ ms}^{-1}$
$2.50\text{ ms}^{-1}$✔️
$3.0\text{ ms}^{-1}$

Correct Answer Logic:

Average speed = $\frac{\text{Total Distance}}{\text{Total Time}}$.

Total Distance $D = H + 2e^2H + 2e^4H... = H(\frac{1+e^2}{1-e^2})$ where $e^2 = 0.81$.
Total Time $T = \sqrt{\frac{2H}{g}} + 2e\sqrt{\frac{2H}{g}}... = \sqrt{\frac{2H}{g}}(\frac{1+e}{1-e})$.
With $H=5, g=10, e=0.9$, average speed results in $2.50\text{ ms}^{-1}$.

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Mathematics QUESTION #4101

Question 18

The Maclaurin series for $f(Z)=Z^2e^{3Z}$, using $e^{3Z}=\displaystyle\sum_{n=0}^{\infty}\dfrac{3^nZ^n}{n!}$, begins as:

$Z^2+3Z^3+\dfrac{9}{2}Z^4+\cdots$✔️
$Z^2+3Z^3+\dfrac{9}{2}Z^4+\dfrac{9}{2}Z^5+\cdots$
$1+3Z+\dfrac{9Z^2}{2}+\cdots$
$Z^2+Z^3+Z^4+\cdots$

Correct Answer Logic:

$Z^2e^{3Z}=Z^2\sum_{n=0}^\infty\dfrac{3^nZ^n}{n!}=Z^2+3Z^3+\dfrac{3^2}{2!}Z^4+\dfrac{3^3}{3!}Z^5+\cdots = Z^2+3Z^3+\dfrac{9}{2}Z^4+\dfrac{9}{2}Z^5+\cdots$.

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English QUESTION #7644

Question 19

Urdu meaning: Evoke:

‫یاد کرنا‬✔️
‫یاد دلانا/جگانا‬
‫حوصلہ افزائی کرنا‬
None of these

Correct Answer Logic:

'Evoke' means to bring or recall to the mind, to call forth emotions or memories. The Urdu equivalent is 'یاد دلانا' (yaad dilana) or 'یاد کرنا' (yaad karna), which means to remind or to bring to memory.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3295

Question 20

The large vessel used for industrial microbial growth is called a:

Autoclave
Incubator
Bioreactor (Fermenter)✔️
Centrifuge

Correct Answer Logic:

Bioreactors control $pH$, temperature, and aeration for optimal microbial yield.

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