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Islamic Studies QUESTION #237
Question 1
The author of Kitab al-Hind is:
  • Amir Khusrau
  • Abu al-Fazl
  • Abu Rayhan al-Biruniโœ”๏ธ
  • None of these
Correct Answer Logic:
Al-Biruni wrote this comprehensive study of Indian culture, religion, and science.
Uploaded by: Fani Warraich
Mathematics QUESTION #6034
Question 2

Find the set $K$ of all real $x$ where $f(x)=\sin|x|-|x|+2(x-\pi)\cos|x|$ is not differentiable.

  • $\emptyset$ (empty set)โœ”๏ธ
  • $\{\pi\}$
  • $\{0\}$
  • $\{0,\pi\}$
Correct Answer Logic:

Check $x=0$: Write $h(x)=\sin|x|-|x|$. For $x>0$: $h(x)=\sin x-x$, $h'(x)=\cos x-1$. For $x<0$: $h(x)=-\sin x+x$, $h'(x)=-\cos x+1$. At $x=0$: left limit $=0$, right limit $=0$ โ€” differentiable.

The term $2(x-\pi)\cos|x|$ is clearly differentiable everywhere (product of smooth functions, since $\cos|x|$ is even and smooth).

At $x=\pi$: $\cos|\pi|=\cos\pi=-1$, and all parts are smooth for $x>0$.

Therefore $f$ is differentiable everywhere and $K=\boldsymbol{\emptyset}$.

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Dairy Food Science and Technology QUESTION #5909
Question 3
Detection of starch adulteration in milk involves adding iodine solution. A positive test gives:
  • A red/pink coloration due to casein-iodine complex
  • A deep blue-black coloration due to amylose-\(\text{I}_2\) complex formationโœ”๏ธ
  • A yellow precipitate due to starch hydrolysis
  • No color change; starch is detected by microscopy only
Correct Answer Logic:
Iodine solution (Lugol's iodine or dilute \(\text{I}_2/\text{KI}\)) reacts with the helical structure of amylose to form an amylose-iodine inclusion complex producing an intense blue-black color. This is a qualitative test for starch adulteration in milk.
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Chemistry QUESTION #433
Question 4
Which element forms long chains alternating with oxygen?
  • Carbon
  • Silicon
  • Nitrogen
  • All of theseโœ”๏ธ
Correct Answer Logic:
Silicon, carbon and other elements can form chains with oxygen
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Administration QUESTION #9566
Question 5
The concept of 'matrix organization' is described as combining functional and project/product departmentalization. Which structural problem inherent in matrix organizations is most likely to arise in a government context where hierarchical authority is deeply entrenched?
  • Geographic dispersion of activities makes matrix coordination impractical in government field operations
  • Conflict between functional managers and project managers over authority and resources is exacerbated in government by strong hierarchical norms and formal scalar authorityโœ”๏ธ
  • Matrix structures require cross-trained generalist employees, conflicting with the specialization demands of government occupational groups
  • Performance appraisal in matrix organizations requires dual reporting lines that are incompatible with the ACR system used in government
Correct Answer Logic:
Matrix organizations create a dual authority structure where employees report to both functional and project managers. In government, where Weber's hierarchical authority and scalar principle are institutionally entrenched (unity of command, clear lines of accountability), this ambiguity of authority creates irresolvable conflicts over resource allocation, decision rights and accountability โ€” making matrix structures particularly problematic in public bureaucracies.
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General Abilities QUESTION #4561
Question 6
A number increased by $25\%$ becomes $50$. What was the original number?
  • $37.5$
  • $40$โœ”๏ธ
  • $62.5$
  • $75$
Correct Answer Logic:
If $x(1 + 0.25) = 50$, then $1.25x = 50$, so $x = \frac{50}{1.25} = 40$
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Education QUESTION #6731
Question 7
In problem-based learning, the teacher's role shifts from content deliverer to:
  • Passive observer onlyโœ”๏ธ
  • Facilitator who designs problems
  • guides inquiry
  • and provides resources
Correct Answer Logic:
Peer collaborator with no expertise advantage
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Correct Answer Logic:

1. Current Receivables = $8,000. Current Allowance = $8,000 $\times$ 5% = $400.
2. Last Year Receivables = $8,000 / 0.80 = $10,000. Last Year Allowance = $10,000 $\times$ 5% = $500.
3. Change = $500 - $400 = $100 reduction in allowance.
A reduction in allowance is credited to the income statement, thus increasing profit by $100.

Uploaded by: Fani Warraich
Chemistry QUESTION #468
Question 9
Which of the following is pale yellow to reddish yellow in color?
  • Pb?O
  • PbO?
  • PbOโœ”๏ธ
  • 2PbCO?.Pb(OH)?
Correct Answer Logic:
PbO (litharge) is pale yellow to reddish yellow
Uploaded by: Fani Warraich
Political Science QUESTION #6656
Question 10

Which Islamic thinker developed the 'Rise and Fall of Sovereign Power' cyclical theory?

  • Ibn-e-Khaldunโœ”๏ธ
  • Shah Waliullah
  • Ibn-e-Taymiyyah
  • None of these
Correct Answer Logic:

Ibn-e-Khaldun's 'Muqaddimah' introduces the theory of Asabiyyah and the cyclical nature of dynasties.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3568
Question 11
Which drug is an 'Expectorant' (helps clear mucus)?
  • Senna
  • Vasaka (Adhatoda)โœ”๏ธ
  • Aloe
  • Castor oil
Correct Answer Logic:
Vasaka is a traditional remedy for bronchitis and cough.
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Law QUESTION #9495
Question 12
A plaintiff institutes a suit for recovery of a loan on the basis of a promissory note. The defendant files a written statement but does not raise the defence of limitation. The Court frames issues but the defendant never raises limitation at trial. Can the Court, on its own motion, dismiss the suit on the ground that it is time-barred?
  • Yes; under the Limitation Act, every suit filed after the prescribed period is barred, and the Court must dismiss it regardless of whether it is pleaded, if the suit is apparently time-barred on the face of the plaintโœ”๏ธ
  • Yes; but only in appeals
  • No; limitation must be specifically pleaded by the defendant and the Court cannot raise it suo motu
  • No; a Court can only act on issues that are framed
Correct Answer Logic:
Section 3 of the Limitation Act 1908 imposes a mandatory obligation on every Court to dismiss a suit, appeal, or application that is prima facie time-barred, even if limitation has not been pleaded as a defence. The Court acts suo motu in such cases.
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3322
Question 13
The 'Kirby-Bauer' test is used to determine:
  • The number of bacteria in a sample
  • Bacterial susceptibility to antibioticsโœ”๏ธ
  • The $pH$ of the media
  • The speed of flagellar movement
Correct Answer Logic:
It is the standard disk-diffusion method for antibiotic sensitivity testing.
Uploaded by: Fani Warraich
Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3596
Question 14
'Senna' and 'Aloe' belong to which chemical class of glycosides?
  • Saponin Glycosides
  • Anthraquinone Glycosidesโœ”๏ธ
  • Cardiac Glycosides
  • Cyanophore Glycosides
Correct Answer Logic:
Anthraquinone glycosides are well known for their stimulant laxative properties.
Uploaded by: Fani Warraich
Correct Answer Logic:

For $h \ll R$, orbital radius $\approx R$.

Orbital velocity: $v_o = \sqrt{\frac{GM}{R}} = \sqrt{gR}$

Escape velocity from orbit at $R$: $v_e = \sqrt{\frac{2GM}{R}} = \sqrt{2gR}$

Minimum increase in speed:

$\Delta v = v_e - v_o = \sqrt{2gR} - \sqrt{gR} = \sqrt{gR}(\sqrt{2}-1)$

Uploaded by: Fani Warraich
Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3652
Question 16
'Nutmeg' (Jaiphal) is the dried:
  • Seedโœ”๏ธ
  • Aril
  • Bark
  • Root
Correct Answer Logic:
Myristica fragrans is the source of nutmeg (seed) and mace (aril).
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3533
Question 17
'Maceration' is a process where the drug is:
  • Boiled in water
  • Soaked in a solvent for a specific period at room temperatureโœ”๏ธ
  • Burned to ash
  • Crushed into a fine powder only
Correct Answer Logic:
Maceration is a passive extraction process.
Uploaded by: Fani Warraich
Mathematics QUESTION #1293
Question 18
If \(\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}\) and \(r = |\vec{r}|\), then \(\nabla r^n\) equals:
  • \(nr^{n-2}\)
  • \(nr^{n-1}\vec{r}\)
  • \(nr^{n-2}\vec{r}\)โœ”๏ธ
  • \(nr^n\vec{r}\)
Correct Answer Logic:
Using the chain rule: \(\nabla r^n = n r^{n-1}\nabla r\). Since \(\nabla r = \dfrac{\vec{r}}{r}\), we get \(\nabla r^n = n r^{n-1}\cdot\dfrac{\vec{r}}{r} = nr^{n-2}\vec{r}\).
Uploaded by: Fani Warraich
Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3157
Question 19
'Anemia' is a condition characterized by:
  • High blood sugar
  • Low oxygen-carrying capacity of bloodโœ”๏ธ
  • High blood pressure
  • Excessive white blood cells
Correct Answer Logic:
Anemia is usually due to low hemoglobin or low RBC count.
Uploaded by: Fani Warraich
Correct Answer Logic:
2
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