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Correct Answer Logic:
$Z_{pu,new} = Z_{pu,old} \times \frac{MVA_{base,new}}{MVA_{base,old}} \times \left(\frac{kV_{base,old}}{kV_{base,new}}\right)^2 = 0.05 \times \frac{100}{10} \times 1 = 0.5\,\text{pu}$.
Uploaded by: Fani Warraich
Ability / HR / Governance / Special Education QUESTION #5635
Question 5082
A Principal Accounting Officer (PAO) approves an expenditure that falls outside the scope of any Grant or Appropriation. It is neither covered by a Supplementary Grant nor a Technical Supplementary Grant. Under the System of Financial Control and Budgeting what is the legal status of such expenditure?
  • The expenditure is valid if approved by the Financial Adviser
  • The expenditure is treated as unauthorized✔️
  • The expenditure can be regularized by the PAO if within delegated powers
  • The expenditure is automatically absorbed in the next budget cycle
Correct Answer Logic:
Any expenditure in excess of the Grant or Appropriation amount or that falls outside its scope and intent is treated as unauthorized unless regularized by a Supplementary Grant or Technical Supplementary Grant.
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Correct Answer Logic:
Pakistan was ranked 142nd out of 146 countries in the 2023 report.
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Ability / HR / Governance / Special Education QUESTION #1852
Question 5084
Who is the appointing authority for posts in BPS 17 to 19?
  • Prime Minister
  • Secretary of the Ministry or Division concerned✔️
  • An officer notified by the Secretary
  • Establishment Division
Correct Answer Logic:
Rule 6(1) Table entry (2) specifies the Secretary of the Ministry or Division concerned as appointing authority for posts in BPS 17 to 19.
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Dairy Food Science and Technology QUESTION #5950
Question 5085
Sweet cream buttermilk (byproduct of butter churning) differs from cultured buttermilk in that:
  • Sweet cream buttermilk has higher fat and more milk fat globule membrane (MFGM) material but no lactic acid flavor✔️
  • Sweet cream buttermilk contains more lactic acid and diacetyl
  • Cultured buttermilk has higher butterfat content
  • Sweet cream buttermilk has been pasteurized; cultured buttermilk has not
Correct Answer Logic:
Sweet cream buttermilk is rich in MFGM material (phospholipids, sphingomyelin), has mild flavor, low acidity, and low fat (\(\approx 0.5\%\)). Cultured buttermilk is produced by fermenting skim/low-fat milk with \(Lc.\;lactis\) subsp. \(cremoris\) and \(Leuconostoc\) spp., producing lactic acid (\(\approx 0.9\%\)) and diacetyl.
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Agronomy QUESTION #2064
Question 5086
Zinc deficiency, the most widespread micronutrient deficiency in Pakistan and South Asia, is characterized by:
  • Dark green, crinkled older leaves with necrotic margins
  • Interveinal chlorosis and stunting of older leaves due to Zn mobility
  • Stunted young leaves, shortened internodes (little leaf/khaira disease in rice), interveinal chlorosis on young leaves, and delayed maturity — due to Zn's role in auxin synthesis and enzyme activation✔️
  • Pale yellow coloration of the entire plant with early senescence
Correct Answer Logic:
Zn deficiency causes little leaf/rosette in fruit trees, khaira disease in rice, and white bud in maize. Young leaves are affected first (Zn is relatively immobile in phloem). Zn activates >300 enzymes, is required for IAA synthesis, RNA polymerase, and ribosome structure. ZnSO₄ (21% Zn) applied at 25 kg/ha corrects deficiency.
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Physics QUESTION #7033
Question 5087
Determine the dimensional formula for the permittivity of a vacuum ($\epsilon_0$). Given the fundamental quantities: $M$ = mass, $L$ = length, $T$ = time, and $A$ = electric current.
  • $[\epsilon_0] = [M^{-1} L^{-3} T^2 A]$
  • $[\epsilon_0] = [M^{-1} L^{-3} T^4 A^2]$✔️
  • $[\epsilon_0] = [M^{-1} L^2 T^4 A^{-2}]$
  • $[\epsilon_0] = [M^{-1} L^2 T^{-1} A]$
Correct Answer Logic:

According to Coulomb's Law, the force $F$ between two charges $q_1$ and $q_2$ separated by distance $r$ is:

$F = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r^2}$

Rearranging for permittivity:

$\epsilon_0 = \frac{q^2}{4\pi F r^2}$

Dimensional analysis:

  • Charge $[q] = [AT]$
  • Force $[F] = [MLT^{-2}]$
  • Distance $[r] = [L]$

$[\epsilon_0] = \frac{[A^2 T^2]}{[M L T^{-2}] [L^2]} = [M^{-1} L^{-3} T^4 A^2]$

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Correct Answer Logic:
Based on logical deduction of positions, H1 is the only landmark satisfying the condition of being the southernmost with at least two hills to its east.
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Mathematics QUESTION #6972
Question 5089

Let $I_n=\displaystyle\int\tan^n x\,dx$ for $n>1$. If $I_4+I_6 = a\tan^5x + bx^5 + C$, find the ordered pair $(a,b)$.

  • $\left(-\dfrac{1}{5},1\right)$
  • $\left(\dfrac{1}{5},0\right)$✔️
  • $\left(\dfrac{1}{5},-1\right)$
  • $\left(-\dfrac{1}{5},0\right)$
Correct Answer Logic:

Use the reduction: $I_n+I_{n-2}=\displaystyle\int\tan^{n-2}x\cdot\tan^2x\,dx+\int\tan^{n-2}x\,dx=\int\tan^{n-2}x\sec^2x\,dx=\dfrac{\tan^{n-1}x}{n-1}+C$

$I_4+I_6$: set $n=5$: $I_4+I_6=\dfrac{\tan^5x}{5}+C$

Comparing with $a\tan^5x+bx^5+C$: $a=\dfrac{1}{5}$, $b=0$.

$(a,b) = \left(\dfrac{1}{5},0\right)$

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Correct Answer Logic:

This is a $1^\infty$ indeterminate form. Take logarithm:

$\ln p = \lim_{x\to0^+}\dfrac{\ln(1+\tan^2\sqrt{x})}{2x}$

Let $t=\sqrt{x}$, so $x=t^2$, $x\to0^+$ means $t\to0^+$:

$= \lim_{t\to0^+}\dfrac{\ln(1+\tan^2 t)}{2t^2} = \lim_{t\to0^+}\dfrac{\tan^2 t}{2t^2} = \dfrac{1}{2}$

(using $\ln(1+u)\approx u$ for small $u$ and $\lim_{t\to0}\frac{\tan t}{t}=1$)

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Math Physics Chemistry Biology QUESTION #11300
Question 5091
Which of the following is the correct order of events in eukaryotic gene expression?
  • Transcription $\to$ RNA splicing $\to$ Translation $\to$ Protein folding✔️
  • Translation $\to$ Transcription $\to$ RNA splicing $\to$ Protein modification
  • Transcription $\to$ Translation $\to$ RNA splicing
  • RNA splicing $\to$ Transcription $\to$ Translation
Correct Answer Logic:
In eukaryotes, gene expression follows: transcription (DNA $\to$ pre-mRNA in nucleus) $\to$ RNA processing/splicing (removal of introns, addition of 5' cap and poly-A tail) $\to$ translation (mRNA $\to$ protein in cytoplasm) $\to$ protein folding and modification.
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MBBS QUESTION #10305
Question 5092
Glycogen, the primary storage form of glucose in liver and skeletal muscle, is a branched polysaccharide of glucose units linked predominantly by which glycosidic bonds, with branch points formed by a second bond type?
  • $\alpha$-1,4 linkages in the main chain, with $\alpha$-1,6 linkages at branch points✔️
  • $\beta$-1,4 linkages throughout, identical to cellulose
  • $\alpha$-1,2 linkages exclusively
  • $\beta$-1,6 linkages exclusively
Correct Answer Logic:
Glycogen's $\alpha$-1,4 glycosidic bonds form long linear glucose chains, while $\alpha$-1,6 branch points (introduced by the branching enzyme) create a highly branched structure that allows rapid, simultaneous glucose release from multiple chain ends during glycogenolysis.
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Social Studies QUESTION #10028
Question 5093
Which feminist perspective places central importance on women's personal lived experiences?
  • Liberal Feminism
  • Radical Feminism✔️
  • Socialist Feminism
  • Postmodern Feminism
Correct Answer Logic:
Radical feminism emphasizes personal experience, encapsulated in the phrase 'the personal is political'.
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Physics QUESTION #7844
Question 5094

Transformer works on principle of:

  • Coulomb's law
  • Electromagnetic induction✔️
  • Gas's law
  • Hess's law
Correct Answer Logic:

Mutual induction (Faraday's law).

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Math Physics Chemistry Biology QUESTION #11265
Question 5095
Antidiuretic hormone (ADH) acts primarily on the:
  • Proximal convoluted tubule
  • Loop of Henle
  • Distal convoluted tubule and collecting duct✔️
  • Glomerulus
Correct Answer Logic:
ADH (vasopressin) increases water permeability in the distal convoluted tubule and collecting duct by inserting aquaporin-2 channels into the cell membranes. This promotes water reabsorption and concentrates urine.
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Correct Answer Logic:
By the equation of continuity: $A_1v_1 = A_2v_2$. For an incompressible fluid, the volume flow rate (and hence mass flow rate) must remain constant. When area decreases, velocity increases to maintain $\dot{m} = \rho Av = $ constant.
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Correct Answer Logic:
A prime number is only divisible by $1$ and itself. $31$ has no other factors.
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Correct Answer Logic:
Increase \(= 65000 - 50000 = 15000\). Percentage increase \(= \dfrac{15000}{50000} \times 100 = 30\%\).
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Electrical Engineering QUESTION #2192
Question 5099
A DC shunt motor draws $I_L = 50\,\text{A}$ from $V = 220\,\text{V}$. Given $R_a = 0.4\,\Omega$ and $R_f = 110\,\Omega$, the back-EMF $E_b$ and mechanical power developed are:
  • $E_b \approx 200.8\,\text{V}$, $P_{mech} \approx 9{,}638\,\text{W}$✔️
  • $E_b = 220\,\text{V}$, $P_{mech} = 11{,}000\,\text{W}$
  • $E_b = 196\,\text{V}$, $P_{mech} = 9{,}800\,\text{W}$
  • $E_b = 218\,\text{V}$, $P_{mech} = 10{,}900\,\text{W}$
Correct Answer Logic:
$I_f = V/R_f = 220/110 = 2\,\text{A}$. $I_a = I_L - I_f = 48\,\text{A}$. $E_b = V - I_a R_a = 220 - 48\times0.4 = 200.8\,\text{V}$. $P_{mech} = E_b\times I_a = 200.8\times48 \approx 9{,}638\,\text{W}$.
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Correct Answer Logic:
Constructivist teaching methods emphasize reflective practice, where students examine their experiences to build deeper understanding and construct new knowledge.
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