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Correct Answer Logic:
For electrical neutrality, the sum of oxidation numbers must equal zero. For $XY_2Z_2$: $(+6) + 2(-2) + 2(-1) = +6 - 4 - 2 = 0$ โœ“. This is the correct formula.
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Ability / HR / Governance / Special Education QUESTION #1853
Question 2
In the Pakistan Audit Department, who is the appointing authority for posts in BPS 17 to 19?
  • Secretary Ministry of Finance
  • Comptroller General
  • Auditor-General of Pakistanโœ”๏ธ
  • Director General Audit
Correct Answer Logic:
Rule 6(2) Table entry 1(i) specifies the Auditor-General of Pakistan as appointing authority for BPS 17 to 19 in Pakistan Audit Department.
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Mathematics QUESTION #4129
Question 3
Find the Maclaurin series for $f(z) = z^2 e^{3z}$. What is the coefficient of $z^5$?
  • $\frac{9}{2}$โœ”๏ธ
  • $\frac{27}{40}$
  • $\frac{81}{40}$
  • $\frac{27}{8}$
Correct Answer Logic:
$e^{3z} = \sum_{n=0}^{\infty} \frac{(3z)^n}{n!} = \sum_{n=0}^{\infty} \frac{3^n z^n}{n!}$. So $z^2 e^{3z} = \sum_{n=0}^{\infty} \frac{3^n z^{n+2}}{n!}$. For $z^5$: $n + 2 = 5$, so $n = 3$. Coefficient: $\frac{3^3}{3!} = \frac{27}{6} = \frac{9}{2}$.
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General Knowledge QUESTION #4715
Question 4
Granting Most Favored Nation (MFN) status in trade implies which of the following?
  • Providing the same trade concessions given to all other partner nations without discriminationโœ”๏ธ
  • Trade conducted through commodity exchange rather than foreign exchange
  • Import and export payments made in local currencies only
  • Providing preferential tariff rates above standard rates
Correct Answer Logic:
MFN status means a country will receive the same trade treatment (tariffs, quotas, preferences) as the most favorably treated trading partner, ensuring non-discrimination in trade.
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Correct Answer Logic:

SWOT Analysis is a strategic planning tool:

  • S โ€” Strengths (internal positive factors)
  • W โ€” Weaknesses (internal negative factors)
  • O โ€” Opportunities (external positive factors)
  • T โ€” Threats (external negative factors)

In nursing management, a Head Nurse uses SWOT analysis to assess the unit's capabilities, identify resource gaps, recognize opportunities for improvement, and anticipate external challenges such as budget cuts, staff shortages, or policy changes. This is frequently tested in Charge/Head Nurse examinations.

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Chemistry QUESTION #7371
Question 6
The energy (in joules) of light with wavelength 45 nm is: (Given: \(h = 6.63 \times 10^{-34}\) Js, \(c = 3 \times 10^8\) ms\(^{-1}\))
  • \(6.67 \times 10^{15}\) J
  • \(6.67 \times 10^{11}\) J
  • \(4.42 \times 10^{-15}\) J
  • \(4.42 \times 10^{-18}\) Jโœ”๏ธ
Correct Answer Logic:
Formula: \(E = \dfrac{hc}{\lambda}\)

\(E = \dfrac{6.63 \times 10^{-34} \times 3 \times 10^8}{45 \times 10^{-9}}\)
\(= \dfrac{19.89 \times 10^{-26}}{45 \times 10^{-9}}\)
\(= \dfrac{19.89}{45} \times 10^{-17}\)
\(= 0.442 \times 10^{-17} = 4.42 \times 10^{-18}\) J

This energy (in UV range) is enough to ionise hydrogen from ground state (\(13.6\) eV \(= 2.18 \times 10^{-18}\) J).
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Home Economics QUESTION #6244
Question 7
Which style of parenting is characterized by high demands but low responsiveness?
  • Authoritative
  • Permissive
  • Uninvolved
  • Authoritarianโœ”๏ธ
Correct Answer Logic:
Authoritarian parents establish strict rules with little room for open dialogue or emotional support.
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CISA QUESTION #6840
Question 8
  1. Define problem
  2. Collect data
  3. Analyze data
  4. Draw conclusions
An organization's audit methodology skips directly from problem definition to conclusions without data collection or analysis. What is the PRIMARY consequence?
  • Faster audit completion
  • Conclusions lack evidentiary support and are essentially opinions rather than audit findingsโœ”๏ธ
  • Reduced audit costs
  • Increased efficiency
Correct Answer Logic:
The scientific method and audit methodology require evidence-based conclusions. Skipping data collection and analysis means conclusions are based on assumptions or opinions rather than facts. This violates the fundamental audit principle that findings must be supported by sufficient, relevant, and reliable evidence.
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Administration QUESTION #9551
Question 9
A civil servant in Grade 19 applies for promotion to Grade 20. According to the Civil Servants Act 1973 and constitutional provisions, which appointing authority is responsible for appointments at Grade 20 and above?
  • Federal Public Service Commission through competitive examination
  • Prime Minister through the Cabinet Secretariat on the advice of the Establishment Division
  • The President of Pakistanโœ”๏ธ
  • The relevant Minister in consultation with the Secretary of the Ministry
Correct Answer Logic:
Article 240 of the Constitution and Civil Servants Act 1973 establish that appointments at Grade 20 and above are made by the President. This reflects the constitutional principle that senior civil service appointments carry national significance and require presidential authority.
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Pharmacokinetics and Pharmacodynamics QUESTION #3838
Question 10
Why is lignocaine (lidocaine) not suitable for oral systemic administration?
  • It is not absorbed from the gastrointestinal tract
  • It undergoes significant first-pass metabolism in the liverโœ”๏ธ
  • It is decomposed by gastric acid
  • It binds to mucoproteins in the intestine
Correct Answer Logic:
Lignocaine is well absorbed from the GI tract but undergoes very high first-pass hepatic metabolism ($>70\%$), reducing oral bioavailability to clinically ineffective levels.
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Reading and Writing (Module-1) QUESTION #5377
Question 11
While researching a topic, a student has taken the following notes: A lever is a simple machine consisting of a rigid beam and a fulcrum. The fulcrum is the point about which the beam pivots. In first-class levers, the fulcrum is located between the effort and the load. In second-class levers, the load is located between the effort and the fulcrum. The student wants to contrast first-class levers and second-class levers. Which choice most effectively uses relevant information from the notes to accomplish this goal?
  • In levers, the effort is the force applied to the lever; the load, in contrast, is the force that the lever exerts on another object.
  • In first-class and second-class levers, the fulcrum and the load are in different locations.
  • First-class levers are simple machines consisting of a rigid beam and a fulcrum, but then again, the same is true of second-class levers.
  • In first-class levers, the fulcrum is located between the effort and the load, but in second-class levers, the load is located between the effort and the fulcrum.โœ”๏ธ
Correct Answer Logic:
Option D clearly states the physical difference between the two types of levers, providing a complete contrast.
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Chemistry QUESTION #1108
Question 12
Match List I (Ion) with List II (Group in Cation Analysis): A. Co\(^{2+}\) B. Mg\(^{2+}\) C. Pb\(^{2+}\) D. Al\(^{3+}\); with I. Group-I II. Group-III III. Group-IV IV. Group-VI
  • A-III, B-II, C-IV, D-I
  • A-III, B-II, C-I, D-IV
  • A-III, B-IV, C-II, D-I
  • A-III, B-IV, C-I, D-IIโœ”๏ธ
Correct Answer Logic:
In qualitative analysis: Pb\(^{2+}\) โ†’ Group I (precipitates as PbCl\(_2\) with HCl) but also appears partially in Group II. Co\(^{2+}\) โ†’ Group III (precipitates as CoS in NH\(_4\)OH/H\(_2\)S). Al\(^{3+}\) โ†’ Group III (Al(OH)\(_3\) precipitate). Mg\(^{2+}\) โ†’ Group VI (last group, Mg(OH)\(_2\) with NaOH). Pb\(^{2+}\) in Group IV (PbS with H\(_2\)S in dilute HCl). Matching: A-III, B-IV (Mg=Group VI? or IV), C-I (Pb=Group I), D-III... Revised: A(Co\(^{2+}\))=III, B(Mg\(^{2+}\))=IV (Group IV uses (NH\(_4\))\(_2\)CO\(_3\): no, Mg is Group V or VI). Standard: A-III, B-IV, C-I, D-II โ€” option (4).
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Mathematics QUESTION #4157
Question 13
For the Fourier series of an even function $f(x)$ on $[-L, L]$, which coefficients are zero?
  • All $a_n$
  • All $b_n$โœ”๏ธ
  • All $a_n$ and $b_n$
  • None
Correct Answer Logic:
For even functions, $f(-x) = f(x)$, so $b_n = \frac{1}{L}\int_{-L}^{L} f(x)\sin(\frac{n\pi x}{L})dx = 0$ since integrand is odd. Only cosine terms ($a_n$) remain.
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Islamic Studies QUESTION #7883
Question 14
When was the first "Wahi" (revelation) revealed to the Holy Prophet Muhammad (PBUH)?
  • 570 AD
  • 610 ADโœ”๏ธ
  • 630 AD
  • 590 AD
Correct Answer Logic:
The first revelation (Wahi) was revealed to Prophet Muhammad (PBUH) in 610 AD when he was 40 years old in the Cave of Hira during the month of Ramadan. Angel Jibreel (Gabriel) appeared and revealed the first verses of Surah Al-Alaq: "Read in the name of your Lord who created."
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Physics QUESTION #7034
Question 15
A student records the length of a rod as $3.50 \text{ cm}$. Identify the instrument used for this measurement based on its precision.
  • A screw gauge with a pitch of $1 \text{ mm}$ and $100$ circular scale divisions
  • A screw gauge with a pitch of $1 \text{ mm}$ and $50$ circular scale divisions
  • A standard metre scale
  • A vernier calliper where $10$ divisions of the vernier scale coincide with $9$ main scale divisions (main scale has $10 \text{ divisions per cm}$)โœ”๏ธ
Correct Answer Logic:

The recorded value $3.50 \text{ cm}$ has a precision of $0.01 \text{ cm}$. We must find an instrument with a least count (LC) of $0.01 \text{ cm}$.

  • Option A: $LC = \frac{1 \text{ mm}}{100} = 0.01 \text{ mm} = 0.001 \text{ cm}$
  • Option B: $LC = \frac{1 \text{ mm}}{50} = 0.02 \text{ mm} = 0.002 \text{ cm}$
  • Option C: $LC = 0.1 \text{ cm}$
  • Option D: $1 \text{ MSD} = \frac{1 \text{ cm}}{10} = 0.1 \text{ cm}$. Since $10 \text{ VSD} = 9 \text{ MSD}$, $1 \text{ VSD} = 0.9 \text{ MSD}$. $LC = 1 \text{ MSD} - 1 \text{ VSD} = 0.1 \text{ MSD} = 0.01 \text{ cm}$.

Thus, Option D matches the required precision.

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Agronomy QUESTION #2047
Question 16
The Economic Threshold Level (ETL) in crop pest management is defined as:
  • The pest density at which the crop begins to show visible damage symptoms
  • The pest population density at which control measures must be initiated to prevent the pest from reaching the Economic Injury Level (EIL) โ€” accounting for the time needed for control measures to take effectโœ”๏ธ
  • The maximum pest density a crop can tolerate without any yield loss
  • The point at which 50% of the crop stand is destroyed by the pest
Correct Answer Logic:
ETL (action threshold) is always set BELOW the Economic Injury Level (EIL) โ€” the pest density at which economic damage equals cost of control. The ETL triggers action while the pest population is still rising, allowing time for control measures to prevent the EIL from being reached. ETL < EIL is a fundamental IPM concept.
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General Science and Ability QUESTION #249
Question 17
If the radius of a circle is increased three times then its area is increased:
  • Three times
  • Six times
  • Nine timesโœ”๏ธ
  • None of these
Correct Answer Logic:
Area A=ฯ€r2. If r becomes 3r, then A becomes ฯ€(3r)2=9ฯ€r2.
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Mathematics QUESTION #1329
Question 18
The wave equation \(u_{xx}=\dfrac{1}{c^2}u_{tt}\) describes waves that travel at speed:
  • 1
  • \(c\)โœ”๏ธ
  • \(c^2\)
  • \(\dfrac{1}{c}\)
Correct Answer Logic:
The wave equation \(u_{xx}=\dfrac{1}{c^2}u_{tt}\) has solutions of the form \(f(x\pm ct)\), representing waves propagating in the \(\pm x\) direction with speed \(c\). The constant \(c\) is the wave speed (e.g., for a string, \(c=\sqrt{T/\mu}\)).
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Mathematics QUESTION #1263
Question 19
Using the epsilon-delta definition, \(\lim_{x\to 2}\dfrac{x^3-4}{x^2+1}\) equals:
  • \(\dfrac{2}{5}\)
  • \(\dfrac{4}{5}\)โœ”๏ธ
  • \(\dfrac{8}{5}\)
  • \(1\)
Correct Answer Logic:
Direct substitution: \(\dfrac{(2)^3-4}{(2)^2+1}=\dfrac{8-4}{4+1}=\dfrac{4}{5}\). The function is continuous at \(x=2\), so the limit equals the function value.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3321
Question 20
'Hemolysis' on a Blood Agar plate appearing as a CLEAR zone around a colony is:
  • Alpha-hemolysis
  • Beta-hemolysisโœ”๏ธ
  • Gamma-hemolysis
  • No hemolysis
Correct Answer Logic:
Beta-hemolysis indicates complete destruction of red blood cells.
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