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Correct Answer Logic:
For a 99% confidence interval, \(\alpha = 0.01\) and \(\alpha/2 = 0.005\). The corresponding standard normal critical value is \(z_{0.005} = 2.576\). This is the value beyond which only 0.5% of the standard normal distribution lies in each tail.
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The Constitution of Pakistan QUESTION #9397
Question 6922
Under Article 19A, the right to information extends to matters of public importance subject to:
  • Absolute disclosure without restriction
  • Regulation and reasonable restrictions imposed by lawโœ”๏ธ
  • A presidential declaration of what is public
  • Parliamentary approval for each disclosure request
Correct Answer Logic:
Article 19A, inserted by the 18th Amendment, provides: 'Every citizen shall have the right to have access to information in all matters of public importance subject to regulation and reasonable restrictions imposed by law.' The right is broad but subject to lawful regulation โ€” balancing transparency with legitimate confidentiality interests.
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Correct Answer Logic:
The ion exchange reaction is: $2RNa + Ca^{2+} \rightarrow R_{2}Ca + 2Na^{+}$.
  • $2$ moles of resin ($2 \times 206\text{ g}$) react with $1$ mole of $Ca^{2+}$.
  • Total mass of resin = $412\text{ g}$.
  • Uptake per gram = $\frac{1\text{ mole } Ca^{2+}}{412\text{ g resin}}$.
Thus, the maximum uptake is $\frac{1}{412}\text{ mol/g}$.
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General Knowledge QUESTION #2612
Question 6924
The MOTHERBOARD of a computer is best described as:
  • A high-speed memory chip that stores temporary data
  • The body or circulatory system of the computer that connects all the pieces togetherโœ”๏ธ
  • The component that converts electricity from the wall into usable power for the computer
  • A type of storage device that holds music and documents
Correct Answer Logic:
The motherboard is the body or circulatory system of the computer that connects all the pieces together. Every major component โ€” CPU, RAM, storage, ports โ€” is connected through or to the motherboard.
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Correct Answer Logic:

Using the formula $NPV = -I_0 + \sum \frac{CF_t}{(1+i)^t}$, we get: $-10,000 + 3,636 + 4,132 + 4,508 = 2,276$. (Calculated precisely: $NPV = 2104$).

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Correct Answer Logic:
Formula: Total orbitals in shell \(n\) = \(n^2\)

For \(n = 4\): \(4^2 = 16\) orbitals

Breakdown:
  • 4s: 1 orbital
  • 4p: 3 orbitals
  • 4d: 5 orbitals
  • 4f: 7 orbitals
  • Total = 1+3+5+7 = 16
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3338
Question 6927
'Broad-spectrum' antibiotics are effective against:
  • Only Gram-positive bacteria
  • Only Gram-negative bacteria
  • A wide range of both Gram-positive and Gram-negative bacteriaโœ”๏ธ
  • Only viruses
Correct Answer Logic:
Tetracycline is an example of a broad-spectrum antibiotic.
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Correct Answer Logic:
Section 94(2) states: 'Overseas Pakistani means a citizen of Pakistan... who is working or residing abroad permanently or temporarily for not less than six months.'
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General Abilities QUESTION #2898
Question 6929
Find the amount if $\$800$ is invested at $6\%$ simple interest for $2$ years.
  • $\$896$โœ”๏ธ
  • $\$900$
  • $\$848$
  • $\$912$
Correct Answer Logic:
Interest $= (800 \times 6 \times 2)/100 = 96$. Amount $= 800 + 96 = 896$.
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Physics QUESTION #7221
Question 6930

The dimensional formula of torque is:

  • $[ML^2L^{-3}]$
  • $[ML^{-1}T^{-1}]$
  • $[ML^2T^{-2}]$โœ”๏ธ
  • $[ML^{-2}]$
Correct Answer Logic:

Torque $\tau = r \times F$ (moment of force)

$[\tau] = [r][F] = L \times MLT^{-2} = ML^2T^{-2}$

Note: Torque has the same dimensional formula as energy ($ML^2T^{-2}$), but they are physically different quantities. Torque is a vector while energy is a scalar.

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Accounting & Finance QUESTION #6122
Question 6931

What is the most appropriate basis for apportioning factory rent to each department?

  • Floor space occupiedโœ”๏ธ
  • Number of employees
  • Production output
  • Value of machinery
Correct Answer Logic:

Option A (Floor space) is correct.

Rent is a cost of occupying space โ€” floor space is the logical basis. Number of employees suits canteen costs; production output suits variable costs; value of machinery suits depreciation/insurance.

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Accounting & Finance QUESTION #1231
Question 6932
The trade terms '2/15, net 30' indicate that:
  • A 2% discount is offered if payment is made within 15 days.โœ”๏ธ
  • A 15% discount is offered if payment is made within 30 days.
  • A 2% discount is offered if payment is made within 30 days.
  • A 30% discount is offered if payment is made within 15 days.
Correct Answer Logic:
The trade credit term '2/15, net 30' is read as: a 2% cash discount is available if the invoice is paid within 15 days; otherwise, the full (net) amount is due within 30 days. The first number (2) is the discount percentage, the second (15) is the discount period in days, and 'net 30' is the full payment deadline.
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Correct Answer Logic:

Apply the ideal gas law: $PV = n_{\text{total}}RT$

$n_{\text{total}} = 0.5 + x$

$200 \times 10 = (0.5 + x) \times R \times 1000$

$2000 = 1000R(0.5 + x)$

$2 = R(0.5 + x) = 0.5R + Rx$

$Rx = 2 - 0.5R$

$x = \dfrac{2 - 0.5R}{R} = \dfrac{4 - R}{2R}$

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Mathematics QUESTION #6037
Question 6934

Find a value of $\theta$ for which $\dfrac{2+3i\sin\theta}{1-2i\sin\theta}$ is purely imaginary.

  • $\dfrac{\pi}{6}$
  • $\sin^{-1}\!\left(\dfrac{\sqrt{3}}{4}\right)$
  • $\sin^{-1}\!\left(\dfrac{1}{\sqrt{3}}\right)$โœ”๏ธ
  • $\dfrac{\pi}{3}$
Correct Answer Logic:

Multiply numerator and denominator by the conjugate of the denominator $(1+2i\sin\theta)$:

Numerator real part: $(2+3i\sin\theta)(1+2i\sin\theta)$ real part $= 2-6\sin^2\theta$

For purely imaginary, the real part must be zero: $2-6\sin^2\theta=0\Rightarrow\sin^2\theta=\frac{1}{3}\Rightarrow\sin\theta=\frac{1}{\sqrt{3}}$

Therefore $\theta=\sin^{-1}\!\left(\dfrac{1}{\sqrt{3}}\right)$

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English QUESTION #8543
Question 6935
They learned to cook _______ their mothers.
  • by
  • with
  • through
  • fromโœ”๏ธ
Correct Answer Logic:
'Learned from' means acquired knowledge from.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3536
Question 6936
'Belladonna' literally means:
  • Deadly nightshade
  • Beautiful ladyโœ”๏ธ
  • Sweet flower
  • Black root
Correct Answer Logic:
In the past, women used it to dilate their pupils to look more attractive.
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Correct Answer Logic:
Correct Answer: B โ€” \(9.8 \text{ L/min}\)

Formula for Minute Ventilation:
\[\dot{V}_E = V_T \times RR\]
\[\dot{V}_E = 700 \text{ mL} \times 14 = 9800 \text{ mL/min} = 9.8 \text{ L/min}\]

Clinical significance:
  • Normal \(\dot{V}_E\) = \(5 - 8 \text{ L/min}\)
  • This patient's \(\dot{V}_E\) of \(9.8 \text{ L/min}\) is elevated, risking hyperventilation and respiratory alkalosis
  • Lung-protective ventilation targets \(V_T = 6 \text{ mL/kg}\) ideal body weight (IBW) to prevent ventilator-induced lung injury (VILI)
  • If IBW = 70 kg, then target \(V_T = 6 \times 70 = 420 \text{ mL}\)
The Charge Nurse should alert the intensivist to review ventilator settings.
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General Knowledge QUESTION #8910
Question 6938
The largest Muslim country by land area is:
  • Kazakhstanโœ”๏ธ
  • Sudan
  • Indonesia
  • Algeria
Correct Answer Logic:
Kazakhstan is the largest Muslim-majority country by area.
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Islamic Studies QUESTION #7925
Question 6939
What is the oldest Mosque on the Earth?
  • Ka'aba Bait Ullahโœ”๏ธ
  • Masjid-i-Zarrar
  • Masjid-i-Nabvi
  • Masjid-i-Aqsa
Correct Answer Logic:
Ka'aba Bait Ullah is the oldest mosque on Earth. It was originally built by Prophet Adam (AS), then rebuilt by Prophet Ibrahim (AS) and his son Prophet Ismail (AS) around 2000 BCE. It is the holiest site in Islam and the direction (Qibla) Muslims face during prayer worldwide.
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Mathematics QUESTION #7485
Question 6940
Let a function \(f:(0,\infty) \to (0,\infty)\) be defined by \(f(x) = |1-\frac{1}{x}|\). Then f is:
  • not injective but it is surjective
  • injective only
  • neither injective nor surjectiveโœ”๏ธ
  • both injective as well as surjective
Correct Answer Logic:
We have \(f(x) = |1-\frac{1}{x}| = \begin{cases} 1-\frac{1}{x} & \text{if } x>1 \\ \frac{1}{x}-1 & \text{if } 01\) is \([0,1)\), and for \(0
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