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Correct Answer Logic:

The balanced redox equation is:

$6Fe^{2+} + Cr_{2}O_{7}^{2-} + 14H^{+} \rightarrow 6Fe^{3+} + 2Cr^{3+} + 7H_{2}O$

Using the equivalence principle ($n_{1}M_{1}V_{1} = n_{2}M_{2}V_{2}$):

  • For $Fe^{2+}$, $n$-factor is $1$.
  • For $Cr_{2}O_{7}^{2-}$, $n$-factor is $6$.

$1 \times M_{Fe} \times 15 = 6 \times 0.03 \times 20$

$15 M_{Fe} = 3.6 \Rightarrow M_{Fe} = 0.24\text{ M} = 24 \times 10^{-2}\text{ M}$.

[cite: 13]
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General Knowledge QUESTION #8889
Question 2
The Wimbledon Tennis Grounds are located in which country?
  • Australia
  • France
  • England✔️
  • Germany
Correct Answer Logic:
Wimbledon is in London, England.
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Pakistan Affairs QUESTION #601
Question 3
Rohtas Fort, located in Jhelum was built by:
  • Zaheer ud Din Babur
  • Mohammad Tughlaq
  • Sher Shah Suri✔️
  • None of These
Correct Answer Logic:
Sher Shah Suri constructed this fortress in the 16th century.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3371
Question 4
'Endemic' means a disease is:
  • Constantly present in a certain population or area✔️
  • Found only in the air
  • Very deadly
  • Easily cured
Correct Answer Logic:
For example, Malaria is endemic in certain tropical regions.
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HR and Management QUESTION #6429
Question 5

According to the text, the largest single expense in most organizations is:

  • Raw materials and inventory costs
  • Technology and infrastructure investment
  • Labor costs✔️
  • Marketing and sales expenses
Correct Answer Logic:

The text explicitly states that the largest single expense in most organizations is labor cost, which is often considerably higher than necessary due to problems like absenteeism, tardiness, and discrimination. This makes effective HRM critical for cost management.

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General Abilities QUESTION #4496
Question 6
Which of the following is a prime number?
  • $21$
  • $27$
  • $29$✔️
  • $33$
Correct Answer Logic:
$29$ has only two factors: $1$ and $29$. Others: $21 = 3 \times 7$, $27 = 3^3$, $33 = 3 \times 11$
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Pakistan Affairs QUESTION #9083
Question 7
In the total area of Pakistan, what is the approximate share of Punjab province?
  • \(20\%\)
  • \(25\%\)✔️
  • \(35\%\)
  • \(42\%\)
Correct Answer Logic:
Punjab covers about 25% of Pakistan's total area.
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Civil Procedure QUESTION #3721
Question 8
A neighbor's tree has a large, dead branch hanging over a homeowner's driveway. The homeowner warns the neighbor multiple times, but the neighbor does nothing. During a mild breeze, the branch falls and crushes the homeowner's car. What is the neighbor's best defense?
  • Act of God (the wind).
  • No duty to maintain natural conditions on land.
  • Contributory negligence by the homeowner for parking there.✔️
  • The neighbor had no 'intent' to harm the car.
Correct Answer Logic:
The neighbor was negligent in failing to prune a known dangerous branch. However, the neighbor will likely argue that the homeowner, knowing the danger, was contributorily negligent for parking directly under the branch.
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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3036
Question 9
'Geometric Dilution' is a method used to:
  • Measure the volume of a liquid
  • Mix a small amount of potent drug with a large amount of diluent✔️
  • Increase the boiling point
  • Calculate the dose for children
Correct Answer Logic:
Geometric dilution ensures uniform distribution when mixing a potent drug with a larger amount of powder base.
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Correct Answer Logic:
Keratin contains disulphide bonds that give strength to hair and nails.
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Pakistan Affairs QUESTION #592
Question 11
NWFP of British India was made a separate province in:
  • 1901✔️
  • 1849
  • 1919
  • None of These
Correct Answer Logic:
It was carved out of Punjab as a separate province in 1901.
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English QUESTION #8440
Question 12
Identify the incorrectly spelled word:
  • Companion
  • Confusion
  • Privious✔️
  • Gratitude
Correct Answer Logic:
'Privious' is misspelled; correct is 'Previous'.
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Mathematics QUESTION #4142
Question 13
At the point $(0, b)$ on the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, what is the radius of curvature $\rho$?
  • $\frac{a^2}{b}$✔️
  • $\frac{b^2}{a}$
  • $\frac{a}{b}$
  • $\frac{b}{a}$
Correct Answer Logic:
For ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, radius of curvature at $(0,b)$ (vertex on minor axis) is $\rho = \frac{a^2}{b}$.
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Urdu QUESTION #5092
Question 14
صفر کا متضاد کیا ہے؟
  • گرم
  • کبار
  • افضل
  • سلم✔️
Correct Answer Logic:
صفر کا متضاد 'سلم' ہے جس کے معنی سلامتی یا امن کے ہیں۔
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Boilers Mechanical Engineering QUESTION #2393
Question 15
The bandwidth \(\omega_b\) of a closed-loop control system is defined as the frequency at which the closed-loop magnitude \(M(\omega)\) drops to:
  • \(M(\omega_b) = M(0)/2\)
  • \(M(\omega_b) = M(0)/\sqrt{2}\) (i.e., \(-3\) dB below \(M(0)\))✔️
  • \(M(\omega_b) = 0\)
  • \(M(\omega_b) = M(0) \cdot \sqrt{2}\)
Correct Answer Logic:
Bandwidth: \(M(\omega_b)=M(0)/\sqrt{2}\), i.e., the response is \(-3\) dB below its low-frequency value. In dB: \(20\log M(\omega_b)=20\log M(0)-3\) dB. Larger bandwidth means faster system response.
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Correct Answer Logic:
SI \(= 5400 - 4500 = 900\). Using \(SI = \dfrac{P \times R \times T}{100}\): \(900 = \dfrac{4500 \times R \times 4}{100} \Rightarrow 900 = 180R \Rightarrow R = 5\%\).
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Correct Answer Logic:
As the loop exits at constant speed, the rate of change of flux is constant (\(\varepsilon = Bvl\) = constant). So the emf is constant with time — represented by a horizontal line. Answer key: option (4) = constant horizontal line.
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Islamic Studies QUESTION #8226
Question 18
What caused Hazrat Usman's (R.A.) death?
  • he died in a battlefield
  • he was martyred by rebels✔️
  • he died a natural death
  • None of the above
Correct Answer Logic:
Hazrat Usman (RA) was martyred by rebels on 18 Dhul Hijjah 35 AH (June 656 CE) while reciting the Quran in his home in Medina. He was 82 years old and had been Caliph for 12 years. A group of rebels from Egypt, Kufa, and Basra laid siege to his house and eventually broke in and killed him. His martyrdom was a tragic event that led to the first major civil conflict (fitna) in Islamic history.
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Geography QUESTION #6320
Question 19
The break-of-bulk point in industrial location theory refers to:
  • Location where raw materials are extracted
  • Point where goods are transferred between transportation modes✔️
  • Market where finished products are sold
  • Factory where production occurs
Correct Answer Logic:
Break-of-bulk points are locations where goods transfer between transportation modes (e.g., ship to rail, rail to truck). These attract industries because goods are already stopped (minimizing additional transport) and handling facilities exist, reducing transshipment costs.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3161
Question 20
'Arthritis' is a condition primarily affecting the:
  • Heart
  • Lungs
  • Joints✔️
  • Skin
Correct Answer Logic:
Arthritis involves inflammation, pain, and stiffness in the joints.
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