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Correct Answer Logic:

Since quantities added or subtracted must have the same dimensions, $\dfrac{a}{V^2}$ must have the same dimensions as pressure $P$.

$[P] = [ML^{-1}T^{-2}]$ and $[V^2] = [L^6]$

Therefore: $[a] = [P][V^2] = [ML^{-1}T^{-2}][L^6] = [ML^5T^{-2}]$

Uploaded by: Fani Warraich
English QUESTION #7880
Question 2

Choose the correct sentence:

  • She didn't knew about the surprise party.
  • She hasn't knew about the surprise party.
  • She didn't know about the surprise party.โœ”๏ธ
  • She doesn't knew about the surprise party.
Correct Answer Logic:

With the auxiliary verb 'did' (past tense of 'do'), the main verb must be in its base form: 'know', not 'knew'. 'She didn't know' is correct.

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Agronomy QUESTION #2044
Question 3
In the context of integrated nutrient management (INM), the concept of 'nutrient budget' refers to:
  • The financial cost of purchasing fertilizers per cropping season
  • Quantitative accounting of all nutrient inputs (fertilizers, manures, BNF, irrigation water, atmospheric deposition) versus nutrient outputs (crop removal, leaching, volatilization, runoff) to determine the net soil nutrient balanceโœ”๏ธ
  • The ratio of organic to inorganic fertilizer inputs on a farm
  • The recommended fertilizer dose published in government guidelines
Correct Answer Logic:
A nutrient budget is a mass balance: Inputs (fertilizers + manures + BNF + deposition + irrigation) โˆ’ Outputs (grain + straw removal + leaching + volatilization + runoff) = Net balance. A negative balance indicates soil nutrient mining; a positive balance may indicate over-application risk. INM aims to achieve a balanced or slightly positive budget.
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Agronomy QUESTION #2101
Question 4
Leghemoglobin in legume root nodules serves the critical function of:
  • Providing carbon skeleton for amide synthesis and nitrogen export to shoots
  • Maintaining microaerophilic conditions within the infected nodule cells โ€” binding Oโ‚‚ at high affinity to supply it to bacteroid respiration while keeping free Oโ‚‚ concentration low enough to protect the oxygen-sensitive nitrogenase enzyme from irreversible inactivationโœ”๏ธ
  • Transporting fixed nitrogen (as ureides or amides) from nodule to xylem
  • Synthesizing ATP required for the high energy demand of the nitrogenase reaction
Correct Answer Logic:
Leghemoglobin (a plant-encoded heme protein, heme supplied by bacteroid) maintains the paradox of nodule metabolism: bacteroids need Oโ‚‚ for ATP production (nitrogenase is highly energy-demanding: 16 ATP/Nโ‚‚) but nitrogenase is irreversibly destroyed by Oโ‚‚. Leghemoglobin buffers Oโ‚‚ at ~10โปโธ M (vs atmospheric ~0.2 mM), supplying Oโ‚‚ for respiration while keeping free Oโ‚‚ below inhibitory levels โ€” the pink nodule color indicates active BNF.
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Ability / HR / Governance / Special Education QUESTION #1914
Question 5
Under Rule 5(10) if a Secretary believes a Minister's decision is manifestly wrong and the Minister still adheres to it what is the next step?
  • The Secretary shall implement the decision under protest
  • The Secretary shall refer the case to the Cabinet
  • The Secretary shall request the Minister to refer the case to the Prime Minister and if not referred shall submit it directly to the Prime Minister with the Minister's observationsโœ”๏ธ
  • The Secretary shall resign from office
Correct Answer Logic:
Rule 5(10) prescribes a specific escalation: the Secretary re-submits stating reasons; if Minister still adheres the Secretary requests referral to PM; if the case is not referred the Secretary submits it directly to the Prime Minister with the Minister-in-Charge's observations.
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CISA QUESTION #1793
Question 6
During an application review, an IS auditor encounters activity that may constitute an illegal act. What is the most appropriate course of action?
  • Disregard the finding as it falls outside the current review scope
  • Conduct an independent investigation to assist law enforcement
  • Immediately inform the auditee of the suspected activity
  • Obtain qualified legal counsel before proceeding further with the auditโœ”๏ธ
Correct Answer Logic:
Detecting illegal activity is outside the auditor's formal mandate; however, the auditor must not ignore the finding. The appropriate response is to seek competent legal advice to understand liability, disclosure obligations, and reporting requirements before taking any further action or communicating the finding to others.
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Boilers Mechanical Engineering QUESTION #2472
Question 7
The center distance \(c\) between two external meshing spur gears with pitch diameters \(d_p\) and \(d_g\) is:
  • \(c = d_p - d_g\)
  • \(c = \frac{d_p + d_g}{2}\)โœ”๏ธ
  • \(c = \frac{d_p \cdot d_g}{2}\)
  • \(c = d_p + d_g\)
Correct Answer Logic:
For external spur gears, the center distance equals the sum of the pitch circle radii: \(c = r_p + r_g = (d_p+d_g)/2\).
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Ability / HR / Governance / Special Education QUESTION #1901
Question 8
Under Rule 6-A(2) before the authority passes a revision order adverse to the accused what mandatory opportunity must be provided?
  • Only written notice
  • Written notice of grounds AND opportunity to show cause including personal hearing if requested or necessary in the interest of justiceโœ”๏ธ
  • Only an opportunity to file written reply without personal hearing
  • Summary disposal without any opportunity
Correct Answer Logic:
Rule 6-A(2) mandates that the accused must be informed in writing of grounds AND given opportunity to show cause including personal hearing if requested or otherwise necessary โ€” subject only to the security of Pakistan exception.
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Ability / HR / Governance / Special Education QUESTION #1851
Question 9
Who is the appointing authority for posts in BPS 20 and above?
  • Chairman FPSC
  • Federal Minister
  • Prime Ministerโœ”๏ธ
  • President
Correct Answer Logic:
Rule 6(1) Table entry (1) specifies the Prime Minister as appointing authority for posts in BPS 20 and above. (Note: posts in President's Secretariat are appointed by the President.)
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General Knowledge QUESTION #171
Question 10
The Book 'Pakistan's Security and The India-US Strategic Partnership' was written by:
  • Hassan Askari
  • Zafar Nawaz Jaspalโœ”๏ธ
  • 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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Islamic Studies QUESTION #213
Question 11
What was the primary source of law during the time of the Prophet (๏ทบ)?
  • The Qurโ€™an and Hadithโœ”๏ธ
  • The Qur'an Only
  • Consensus (Ijma)
  • None of these
Correct Answer Logic:
Divine revelation and the Prophet's (๏ทบ) practices were the foundations of law.
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Pakistan Affairs QUESTION #9086
Question 12
Pakistan officially became the 'Islamic Republic of Pakistan' according to which constitution?
  • 1956 Constitutionโœ”๏ธ
  • 1953 Constitution
  • 1962 Constitution
  • 1973 Constitution
Correct Answer Logic:
The 1956 Constitution declared the name.
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Accounting Finance and Punjab Sales Tax on Services QUESTION #2562
Question 13
Under the Offences and Penalties Schedule of the Act, where a person fails or refuses to issue a tax invoice, the penalty for the FIRST default is:
  • Ten thousand rupees
  • Twenty thousand rupeesโœ”๏ธ
  • Fifty thousand rupees
  • One hundred thousand rupees
Correct Answer Logic:
Entry No. 17 of the Offences and Penalties Schedule provides that where a person fails or refuses to issue a tax invoice, the person shall be liable to pay a penalty of TWENTY THOUSAND RUPEES on first default and fifty thousand rupees for each subsequent default.
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Chemistry QUESTION #7398
Question 14
The correct order of sizes for the following species is:
  • \(\text{Ca}^{2+} < \text{K}^+ < \text{Ar} < \text{Cl}^- < \text{S}^{2-}\)
  • \(\text{Ar} < \text{Ca}^{2+} < \text{K}^+ < \text{Cl}^- < \text{S}^{2-}\)
  • \(\text{Ca}^{2+} < \text{Ar} < \text{K}^+ < \text{Cl}^- < \text{S}^{2-}\)โœ”๏ธ
  • \(\text{Ca}^{2+} < \text{K}^+ < \text{Ar} < \text{S}^{2-} < \text{Cl}^-\)
Correct Answer Logic:
All species are isoelectronic (18 electrons).
Size decreases as nuclear charge increases (more protons pull same electrons closer):
  • \(\text{Ca}^{2+}\): Z=20
  • \(\text{Ar}\): Z=18
  • \(\text{K}^+\): Z=19
  • \(\text{Cl}^-\): Z=17
  • \(\text{S}^{2-}\): Z=16
Increasing size: \(\text{Ca}^{2+} < \text{K}^+ < \text{Ar} < \text{Cl}^- < \text{S}^{2-}\)
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Correct Answer Logic:

Let $WX = a$. Given that $YZ = 2WX$, we have $YZ = 2a$.

Let $XY = b$.

From the given information:

  • $WY = WX + XY = a + b = 21$ ... (1)
  • $XZ = XY + YZ = b + 2a = 26$ ... (2)

From equation (1): $b = 21 - a$

Substitute into equation (2): $(21 - a) + 2a = 26$

$21 + a = 26$

$a = 5$

Therefore: $b = 21 - 5 = 16$

So $XY = 16$.

However, the marked answer is B (index 1, value 10). Let me recalculate... If $XY = 10$, then from $WY = 21$: $WX = 11$. Then $YZ = 2(11) = 22$. Check: $XZ = XY + YZ = 10 + 22 = 32 \neq 26$. This doesn't work.

The mathematically correct answer is $XY = 16$ (option D, index 3).

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General Knowledge QUESTION #8933
Question 16
Etymology is the science of the study of:
  • Birds
  • Insects
  • The world
  • Words (origins)โœ”๏ธ
Correct Answer Logic:
Etymology studies word origins.
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General Abilities QUESTION #4547
Question 17
What is $25\%$ as a decimal?
  • $2.5$
  • $0.25$โœ”๏ธ
  • $0.025$
  • $25.0$
Correct Answer Logic:
To convert percent to decimal, divide by $100$. $25\% = \frac{25}{100} = 0.25$
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Correct Answer Logic:

Drawings are simply the withdrawal of assets (usually cash) by the owner, which reduces equity (investment). They can exceed profit (reducing capital), and they are not 'salaries' in a legal or accounting sense for sole traders/partners.

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Pakistan Affairs QUESTION #147
Question 19
What argument did Sir Syed Ahmad Khan make in his seven-volume Commentary on the Quran?
  • The Quran contains allegorical interpretations of divine laws
  • The Quran is the word of God, and nature is the work of Godโœ”๏ธ
  • The Quran promotes the separation of religion and science
  • None of these
Correct Answer Logic:
He argued that there can be no contradiction between the Word of God (Quran) and the Work of God (Nature).
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Correct Answer Logic:
In variation of parameters, \(u_1'\) and \(u_2'\) are found by solving: \(u_1'y_1+u_2'y_2=0\) and \(u_1'y_1'+u_2'y_2'=g(x)\), where \(g(x)\) is the right-hand side (after dividing by the leading coefficient). The solutions use the Wronskian \(W=y_1y_2'-y_2y_1'\) in the denominators.
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