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Math Physics Chemistry Biology QUESTION #4310

Effect of increased substrate concentration on enzyme activity:

Decrease the rate of reaction
Increase the reaction rate until all active sites are saturated✔️
Have no effect on the reaction rate
Increase the rate of reaction in a straight diagonal line

Correct Answer Logic:

As substrate concentration increases, more enzyme active sites are occupied and reaction rate increases. However, once all active sites are saturated ($V_{max}$), the rate plateaus.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3467

Question 3022

'Maltose' is a disaccharide commonly known as:

Table sugar
Milk sugar
Malt sugar✔️
Fruit sugar

Correct Answer Logic:

It consists of two glucose molecules.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2577

Question 3023

Under the Offences and Penalties Schedule Entry No. 24, where a person refuses to RECEIVE any notice or order issued by an officer of the Authority, the penalty is:

Twenty thousand rupees fixed
Fifty thousand rupees or one hundred percent of the tax payable for the tax period to which the offence relates, whichever is higher✔️
One hundred thousand rupees fixed
Ten percent of the tax payable

Correct Answer Logic:

Entry No. 24 provides that where any person refuses to receive any notice or order, such person shall be liable to pay a penalty of FIFTY THOUSAND RUPEES OR ONE HUNDRED PERCENT of the tax payable for the tax period to which the offence relates, whichever is HIGHER.

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Chemistry QUESTION #7369

Question 3024

A particle moves at 3 times the speed of an electron. If the ratio of de Broglie wavelength of the particle to that of the electron is $1.8 \times 10^{-4}$, the particle is:

Neutron
$\alpha$-particle✔️
Deuteron
Tritium

Correct Answer Logic:

de Broglie wavelength: $\lambda = \dfrac{h}{mv}$

$\dfrac{\lambda_p}{\lambda_e} = \dfrac{m_e v_e}{m_p v_p} = \dfrac{m_e}{m_p \times 3} = 1.8 \times 10^{-4}$

$m_p = \dfrac{m_e}{3 \times 1.8 \times 10^{-4}} = \dfrac{9.1 \times 10^{-31}}{5.4 \times 10^{-4}} \approx 6.68 \times 10^{-27}$ kg

This is approximately 4 times the proton mass, matching the $\alpha$-particle (He nucleus, mass $\approx 4$ u).

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Mathematics QUESTION #7456

Question 3025

The distance of the point $(1, 3, -7)$ from the plane passing through the point $(1, -1, -1)$, having normal perpendicular to both the lines $\frac{x-1}{1} = \frac{y+2}{-2} = \frac{z-4}{3}$ and $\frac{x-2}{2} = \frac{y+1}{-1} = \frac{z+7}{-1}$, is:

$\frac{20}{\sqrt{74}}$
$\frac{10}{\sqrt{83}}$
$\frac{5}{\sqrt{83}}$
$\frac{10}{\sqrt{74}}$✔️

Correct Answer Logic:

The direction ratios of the two lines are $(1,-2,3)$ and $(2,-1,-1)$. The normal to the plane is perpendicular to both, so it's their cross product: $\vec{n} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 1 & -2 & 3 \\ 2 & -1 & -1 \end{vmatrix} = \hat{i}(2-(-3)) - \hat{j}(-1-6) + \hat{k}(-1-(-4)) = 5\hat{i} + 7\hat{j} + 3\hat{k}$. The plane equation through $(1,-1,-1)$ with normal $(5,7,3)$ is $5(x-1) + 7(y+1) + 3(z+1) = 0$, which gives $5x+7y+3z+5 = 0$. Distance from $(1,3,-7)$ is $\frac{|5(1)+7(3)+3(-7)+5|}{\sqrt{25+49+9}} = \frac{|5+21-21+5|}{\sqrt{83}} = \frac{10}{\sqrt{83}}$.

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General Knowledge QUESTION #7718

Question 3026

The Abbasid Governor _____ came to Sindh in 140 AH / 757 AD.

Hisham✔️
Walid
Musa
None of these

Correct Answer Logic:

Hisham ibn Amr al-Taghlibi was appointed as the Abbasid governor of Sindh around 140 AH (757 AD). The Abbasid period saw administrative changes in Sindh following the earlier Umayyad conquest of the region.

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Ability / HR / Governance / Special Education QUESTION #1921

Question 3027

Under Rule 12(2) if a Minister cannot agree with the Finance Minister and desires to press a proposal requiring Finance Division concurrence what is the procedure?

The proposal is automatically rejected
The Minister may submit it to the Prime Minister or if the Prime Minister desires to the Cabinet✔️
The proposal is referred to the Secretaries' Committee for resolution
The Cabinet Secretary decides the matter

Correct Answer Logic:

Rule 12(2) provides that if a Minister cannot reach agreement with the Minister for Finance and desires to press the proposal he shall submit it to the Prime Minister or if the Prime Minister so desires to the Cabinet.

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Physics QUESTION #1026

Question 3028

The kinetic energies of cars A and B are 100 J and 225 J. Car A stops after 1000 m and car B stops after 1500 m. The ratio $F_A/F_B$ is:

$\dfrac{1}{3}$
$\dfrac{1}{2}$✔️
$\dfrac{3}{2}$
$\dfrac{2}{3}$

Correct Answer Logic:

By work-energy theorem: $F \cdot d = KE$. So $F_A = \frac{100}{1000} = 0.1\ \text{N}$ and $F_B = \frac{225}{1500} = 0.15\ \text{N}$. Ratio: $\frac{F_A}{F_B} = \frac{0.1}{0.15} = \frac{2}{3}$. Wait: $\frac{0.1}{0.15}=\frac{2}{3}$. Answer is option (4) = $\frac{2}{3}$... re-checking: $\frac{100/1000}{225/1500}=\frac{0.1}{0.15}=\frac{2}{3}$. Correct option index: 3.

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Ability / HR / Governance / Special Education QUESTION #1873

Question 3029

What is the standard probation period for persons appointed by initial appointment, promotion, or transfer under Rule 21?

Six months
One year✔️
Two years
Three years

Correct Answer Logic:

Rule 21(1) states persons appointed by initial appointment, promotion or transfer shall be on probation for a period of one year.

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Boilers Mechanical Engineering QUESTION #2388

Question 3030

The standard second-order closed-loop transfer function is written as:

$Y(s) = \frac{2\zeta\omega_n}{s^2+2\zeta\omega_n s+\omega_n^2}$
$Y(s) = \frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}$✔️
$Y(s) = \frac{\omega_n^2}{s^2+\omega_n^2}$
$Y(s) = \frac{1}{s^2+2\zeta s+1}$

Correct Answer Logic:

The standard second-order system: $Y(s)=\frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}$ where $\omega_n$ is the undamped natural frequency and $\zeta$ is the damping ratio. Poles: $s=-\zeta\omega_n\pm\omega_n\sqrt{\zeta^2-1}$.

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Constitutional Law QUESTION #5809

Question 3031

To reduce the federal deficit, Congress passes a law that taxes the gross receipts of all state-operated lotteries at a rate of 25%. A state that uses its lottery revenue exclusively for public education sues to enjoin the tax, claiming it violates the Tenth Amendment. Is the tax constitutional?

Yes, because the tax is uniform across all states and falls within the taxing power.✔️
Yes, because the Tenth Amendment does not protect state-run commercial activities from federal taxation.
No, because the tax targets a specific state function and interferes with state sovereignty.
No, because the tax is not for the general welfare as it depletes educational funding.

Correct Answer Logic:

Under the Taxing and Spending Clause, Congress has broad power to tax. A tax is generally valid if it is geographically uniform and reasonably related to revenue production. The Tenth Amendment rarely limits federal taxes that apply to state-owned businesses unless they are uniquely discriminatory or destructive to state existence.

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Chemistry QUESTION #7134

Question 3032

An ideal gas undergoes an isothermal expansion from $1\text{ dm}^3$ to $10\text{ dm}^3$ at $300\text{ K}$ against a constant external pressure of $1\text{ bar}$. Determine the change in entropy of the surroundings ($\Delta S_{surr}$) in $\text{J K}^{-1}$.

$3.0$
$-3.0$✔️
$2.5$
$-2.5$

Correct Answer Logic:

In an irreversible expansion against constant external pressure, the work done by the gas is $w = -P_{ext}\Delta V = -1 \text{ bar} \times (10 - 1) \text{ dm}^3 = -900\text{ J}$. For an isothermal process of an ideal gas, $\Delta U = 0$, so $q_{sys} = -w = 900\text{ J}$. The heat gained by the surroundings is $q_{surr} = -q_{sys} = -900\text{ J}$. Thus, $\Delta S_{surr} = \frac{q_{surr}}{T} = \frac{-900}{300} = -3.0\text{ J K}^{-1}$.

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General Knowledge QUESTION #9011

Question 3033

Michael Dell is a major name in which field?

Luxembourg's stock market
Today's computer world (Dell Computers)✔️
Latin America's drug mafia
German politics

Correct Answer Logic:

Michael Dell founded Dell Computers.

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Mathematics QUESTION #4135

Question 3034

Given $\nabla r^n = nr^{n-2}\vec{r}$, what is $\nabla \left(\frac{1}{r}\right)$ for $r \neq 0$?

$-\frac{\vec{r}}{r^3}$✔️
$\frac{\vec{r}}{r^3}$
$-\frac{1}{r^2}$
$\frac{1}{r^2}$

Correct Answer Logic:

Using formula with $n = -1$: $\nabla r^{-1} = (-1)r^{-3}\vec{r} = -\frac{\vec{r}}{r^3}$.

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Pakistan Affairs QUESTION #4667

Question 3035

What is the largest source of electricity generation in Pakistan?

Thermal✔️
Hydel
Coal
Nuclear

Correct Answer Logic:

Thermal power plants (using natural gas, oil, and coal) have been the largest source of electricity generation in Pakistan, accounting for a majority of total generation capacity.

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Urdu QUESTION #5228

Question 3036

فورٹ ولیم کالج کب بنا؟

1800✔️
1700
1900
ان میں سے کوئی نہیں

Correct Answer Logic:

فورٹ ولیم کالج 1800ء میں کلکتہ میں قائم کیا گیا جہاں اردو کے بڑے ادبی کام ہوئے۔

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Education QUESTION #7568

Question 3037

The logical order of content organization means arranging the content according to:

Course
Behavior
Design
Logical sequence✔️

Correct Answer Logic:

Logical sequence means organizing content in a step-by-step manner that follows natural progression, from simple to complex or from concrete to abstract.

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Reading and Writing (Module-1) QUESTION #5374

Question 3038

A lesson from the 2003 Human Genome Project is that genes are influenced by many things, including their interactions with proteins. ______ researchers have now begun to study the human 'proteome' (the full set of proteins) rather than just looking at the genome alone. Which choice completes the text with the most logical transition?

In other words,
That said,
For example,
Accordingly,✔️

Correct Answer Logic:

'Accordingly' (therefore) shows that the shift in research focus is a logical response to the discovery mentioned.

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Biology Zoology Botany QUESTION #1369

Question 3039

The study of heritable changes in gene expression without alteration in the underlying DNA sequence is called:

Epigenetics✔️
Genetics
Genomics
Evolutionary biology

Correct Answer Logic:

Epigenetics is the study of heritable changes in gene expression that do not involve changes to the underlying DNA sequence. Mechanisms include DNA methylation, histone modification, and non-coding RNA regulation. These changes can be influenced by the environment and may be passed from parent to offspring, affecting gene activity without altering the genetic code.

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Quantitative Reasoning QUESTION #8029

Question 3040

The true significance of the Magna Carta lies not in its _______ provisions, but in its broader impact: it established the principle that the king was subject to the law.

specific✔️
revolutionary
implicit
finite

Correct Answer Logic:

The sentence contrasts 'specific provisions' with 'broader impact.' Specific fits because the document's lasting importance is not in its particular details but in the sweeping principle it established. 'Revolutionary' would make the provisions sound important, contradicting the contrast. 'Implicit' and 'finite' don't fit the contrast as naturally.

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