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Chemistry QUESTION #4370
Question 1
Which of the following is a basic buffer?
  • $NH_4OH/NH_4Cl$✔️
  • $NaOH/NaCl$
  • $NaOH/HCl$
  • $H_2CO_3/NaHCO_3$
Correct Answer Logic:
A basic buffer resists pH changes in the basic range and is made of a weak base and its conjugate acid salt. $NH_4OH$ (weak base) and $NH_4Cl$ (its conjugate acid salt) form a basic buffer with $pH > 7$.
Uploaded by: Fani Warraich
Math Physics Chemistry Biology QUESTION #11305
Question 2
Which pigment is synthesized by the following: protoporphyrin + Fe++?
  • Hemoglobin✔️
  • Chlorophyll
  • Cytochrome
  • Myoglobin
Correct Answer Logic:
Protoporphyrin + Fe++ synthesizes hemoglobin.
Uploaded by: Fani Warraich
Mathematics QUESTION #7476
Question 3
The length of the projection of the line segment joining the points (5, -1, 4) and (4, -1, 3) on the plane \(x + y + z = 7\) is:
  • \(\frac{1}{3}\)
  • \(\sqrt{\frac{2}{3}}\)✔️
  • \(\frac{2}{\sqrt{3}}\)
  • \(\frac{2}{3}\)
Correct Answer Logic:
The vector joining the points is \(\vec{PQ} = (-1, 0, -1)\), with magnitude \(\sqrt{1+0+1} = \sqrt{2}\). Normal to plane is \(\vec{n} = (1,1,1)\) with magnitude \(\sqrt{3}\). The component of \(\vec{PQ}\) perpendicular to plane is \(\frac{\vec{PQ} \cdot \vec{n}}{|\vec{n}|} = \frac{-1+0-1}{\sqrt{3}} = \frac{-2}{\sqrt{3}}\). Projection length = \(\sqrt{|\vec{PQ}|^2 - (\frac{\vec{PQ} \cdot \vec{n}}{|\vec{n}|})^2} = \sqrt{2 - \frac{4}{3}} = \sqrt{\frac{2}{3}}\).
Uploaded by: Fani Warraich
Correct Answer Logic:
A test cross $Yy \times yy$ gives 50% $Yy$ (yellow) and 50% $yy$ (green), resulting in a $1:1$ ratio. This is the classic test cross used to determine genotype.
Uploaded by: Fani Warraich
Correct Answer Logic:

1. Gross Profit = $1,500,000 $\times$ 40% = $600,000.
2. Cost of Sales (COS) = $1,500,000 - $600,000 = $900,000.
3. Average Inventory = COS / Turnover = $900,000 / 12 = $75,000.
4. Average Inv = (Opening + Closing) / 2 $\Rightarrow$ $75,000 = (Opening + $50,000) / 2.
5. Opening Inventory = $150,000 - $50,000 = $100,000.

Uploaded by: Fani Warraich
English QUESTION #7634
Question 6
Running fast they caught the last bus.
  • Noun phrase
  • Adjective phrase✔️
  • Adverb phrase
  • None of these
Correct Answer Logic:
'Running fast' is an adjective phrase (participial phrase) that modifies 'they', describing the manner in which they caught the bus. It acts as an adjective by providing information about the subject.
Uploaded by: Fani Warraich
Maths QUESTION #4556
Question 7
What is $15\%$ of $80$?
  • $12$✔️
  • $15$
  • $95$
  • $1200$
Correct Answer Logic:
$15\%$ of $80 = \frac{15}{100} \times 80 = 0.15 \times 80 = 12$
Uploaded by: Fani Warraich
Political Science QUESTION #6682
Question 8

In the US, the power of Judicial Review was established in:

  • Marbury v. Madison✔️
  • McCulloch v. Maryland
  • Roe v. Wade
  • None of these
Correct Answer Logic:

The 1803 Supreme Court case Marbury v. Madison established the principle of judicial review in the United States.

Uploaded by: Fani Warraich
Psychology QUESTION #9729
Question 9
According to the James-Lange Theory of emotion, which sequence correctly describes how emotions arise?
  • Stimulus → Emotion → Physiological response
  • Stimulus → Physiological response → Emotion✔️
  • Stimulus → Simultaneous emotion and physiological response
  • Stimulus → Cognitive appraisal → Emotion
Correct Answer Logic:
The James-Lange Theory proposes that emotions are the result of our perception of bodily (physiological) changes, not the cause. The sequence is: stimulus → physiological arousal → conscious emotional experience. For example, we feel afraid because we notice our heart racing, not the other way around. This theory is contrasted with the Cannon-Bard Theory, which argues that emotion and physiological response occur simultaneously.
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FIA Act QUESTION #9988
Question 10
Despite repeal of the 1962 Amalgamation Order, a 'specified person' would continue to be appointed:
  • In the FIA compulsorily
  • In or under the Provincial Police post he held before commencement✔️
  • In the Ministry of Interior
  • In the Special Police permanently
Correct Answer Logic:
Subject to sub-section (4), such persons continued in their existing Provincial Police posts.
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Correct Answer Logic:
$R^2$ (coefficient of determination) directly represents the proportion of variance in the dependent variable explained by independent variables. $R^2 = 0.64$ means 64% of housing price variation is explained by the model, leaving 36% unexplained.
Uploaded by: Fani Warraich
Correct Answer Logic:

By conservation of energy: $mgh = \dfrac{1}{2}mv^2 \Rightarrow v = \sqrt{2gh}$

The final speed depends only on height $h$ and $g$, not on mass or the shape of the frictionless path. Since all start from the same height, all reach the ground with the same speed.

Ratio $= \mathbf{1:1:1}$

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Correct Answer Logic:
Power = Work/Time = 100/10 = 10 watts
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Electrical Engineering QUESTION #2149
Question 14
In a DC machine, the purpose of Interpoles is primarily to:
  • Increase the main field flux
  • Reduce the speed of the motor
  • Improve commutation by neutralizing armature reaction✔️
  • Decrease the starting torque
Correct Answer Logic:
Interpoles are small poles placed to neutralize the cross-magnetizing effect of armature reaction and reduce sparking at the brushes during commutation.
Uploaded by: Fani Warraich
Statistics QUESTION #1968
Question 15
A survey carried out using a well-defined sampling design and procedure is formally called a:
  • Sample survey✔️
  • Population survey
  • Systematic survey
  • Census survey
Correct Answer Logic:
A sample survey is conducted using a sampling design, where only a subset (sample) of the population is observed, as opposed to a complete enumeration (census).
Uploaded by: Fani Warraich
Pakistan Affairs QUESTION #9076
Question 16
The oldest nuclear power plant in Pakistan was established in which city?
  • Mianwali
  • Islamabad
  • Karachi (KANUPP)✔️
  • Peshawar
Correct Answer Logic:
KANUPP near Karachi was the first.
Uploaded by: Fani Warraich
MCQs Section QUESTION #4465
Question 17
انسان کہیں ہیرا اور کہیں پتھر ہو جاتا ہے کس کی مثال ہے۔ ('Man becomes a diamond sometimes and a stone others' is an example of?)
  • تشبیہ ملفوف
  • تشبیہ جمع
  • تشبیہ تمثیل✔️
  • ان میں کوئی نہیں۔
Correct Answer Logic:
This is 'Tashbeeh-e-Tamseel' as it uses a situational analogy to describe human nature.
Uploaded by: Fani Warraich
Correct Answer Logic:
'Comply with' means to obey.
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Mathematics QUESTION #6974
Question 19

Find the value of $\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{\sin^2 x}{1+2^x}\,dx$

  • $4\pi$
  • $\dfrac{\pi}{4}$✔️
  • $\dfrac{\pi}{8}$
  • $\dfrac{\pi}{2}$
Correct Answer Logic:

Let $I=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{\sin^2x}{1+2^x}dx$. Use the property $\int_{-a}^a f(x)dx$: replace $x\to-x$:

$I=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{\sin^2x}{1+2^{-x}}dx=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{2^x\sin^2x}{1+2^x}dx$

Adding: $2I=\displaystyle\int_{-\pi/2}^{\pi/2}\sin^2x\,dx=\displaystyle\int_{-\pi/2}^{\pi/2}\dfrac{1-\cos2x}{2}dx=\dfrac{\pi}{2}$

$I=\dfrac{\pi}{4}$

Uploaded by: Fani Warraich
Math Physics Chemistry Biology QUESTION #791
Question 20
Diamond is non-conductor due to:
  • Free electrons present
  • Giant structure
  • Absence of free electrons✔️
  • None
Correct Answer Logic:
In diamond, each carbon is covalently bonded to four others in a tetrahedral arrangement. There are no free electrons available to conduct electricity.
Uploaded by: Fani Warraich