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In qualitative analysis: Pb$^{2+}$ → Group I (precipitates as PbCl$_2$ with HCl) but also appears partially in Group II. Co$^{2+}$ → Group III (precipitates as CoS in NH$_4$OH/H$_2$S). Al$^{3+}$ → Group III (Al(OH)$_3$ precipitate). Mg$^{2+}$ → Group VI (last group, Mg(OH)$_2$ with NaOH). Pb$^{2+}$ in Group IV (PbS with H$_2$S in dilute HCl). Matching: A-III, B-IV (Mg=Group VI? or IV), C-I (Pb=Group I), D-III... Revised: A(Co$^{2+}$)=III, B(Mg$^{2+}$)=IV (Group IV uses (NH$_4$)$_2$CO$_3$: no, Mg is Group V or VI). Standard: A-III, B-IV, C-I, D-II — option (4).

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Basic Mathematics QUESTION #2908

Question 4

Find the area of a square whose perimeter is $24$ cm.

$36\text{ cm}^2$✔️
$16\text{ cm}^2$
$48\text{ cm}^2$
$24\text{ cm}^2$

Correct Answer Logic:

Side $= 24/4 = 6$. Area $= 6^2 = 36$.

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Basic Mathematics QUESTION #2847

Question 5

A car covers a certain distance at 60 km/h and returns at 40 km/h. What is the average speed for the entire journey?

48 km/h✔️
50 km/h
52 km/h
54 km/h

Correct Answer Logic:

Average speed for same distance at two speeds $= \dfrac{2 \times v_1 \times v_2}{v_1 + v_2} = \dfrac{2 \times 60 \times 40}{60 + 40} = \dfrac{4800}{100} = 48$ km/h.

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Others section QUESTION #4699

Question 6

Who was the first recipient of the Gaddafi International Prize for Human Rights?

Hosni Mubarak
Nelson Mandela✔️
Rajiv Gandhi
Margaret Thatcher

Correct Answer Logic:

Nelson Mandela was named the first recipient of the Gaddafi International Prize for Human Rights in 1989 for his anti-apartheid struggle.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3197

Question 7

How is the majority of Carbon Dioxide ($CO_2$) transported in the blood?

Dissolved in plasma
Bound to hemoglobin
As Bicarbonate ions ($HCO_3^-$)✔️
As gas bubbles

Correct Answer Logic:

About $70\%$ of $CO_2$ is transported as bicarbonate, aided by the enzyme carbonic anhydrase.

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English QUESTION #674

Question 8

Who is the protagonist of "1984"?

Winston Smith✔️
Big Brother
O'Brien
Emmanuel Goldstein

Correct Answer Logic:

Winston Smith is the everyman who attempts to rebel against the totalitarian regime of Oceania.

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Architecture QUESTION #2372

Question 9

In prestressed concrete design, the concept of the 'load balancing method' (T.Y. Lin's method) involves selecting the tendon profile such that the transverse component of prestress forces:

Maximizes the bending moment at midspan to increase the section capacity
Exactly balances a chosen portion of the applied gravity loads, resulting in a uniformly stressed (axially loaded) cross-section under the balanced load✔️
Eliminates all tensile stresses in the section at every load level
Positions the pressure line (C-line) at the kern point of the section

Correct Answer Logic:

In the load balancing method (T.Y. Lin, 1963), the tendon is profiled (typically parabolic for UDL) so its vertical component exactly counteracts a chosen portion of the gravity load (usually dead load or total service load). Under the balanced load $w_b = \dfrac{8 P e}{L^2}$, the beam is in pure axial compression with uniform stress $f = P/A$. Remaining loads (unbalanced) are analyzed by conventional elastic methods.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3386

Question 10

'Zwitterion' is a state where an amino acid has:

Only a positive charge
Only a negative charge
Both positive and negative charges (neutral net charge)✔️
No charges at all

Correct Answer Logic:

This occurs at the isoelectric point ($pI$).

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MCQs Section QUESTION #4910

Question 11

A proposal has been made to trim the horns from rhinoceroses to discourage poachers; the question is _____ rhinoceroses after their horns are trimmed.

whether tourists will continue to visit game parks and see rhinoceroses after their horns are
whether tourists will continue to visit game parks to see one once their horns are
whether tourists will continue to visit game parks to see rhinoceroses once the animals' horns have been✔️
if tourists will continue to visit game parks and see rhinoceroses once the animals' horns are

Correct Answer Logic:

Whether' (not 'if') is proper in indirect questions. 'The animals' horns' eliminates the ambiguous pronoun 'their' (whose horns — tourists' or rhinoceroses'?). 'To see rhinoceroses' (infinitive of purpose) is more precise than 'and see.' Options D and E incorrectly use 'if.' Options A and B retain ambiguous 'their.'

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Library Sciences QUESTION #1515

Question 12

Which of the following is the most critical criterion when evaluating the authority of a reference source?

The physical size and binding of the publication
The qualifications of the author or editor and the reputation of the publisher✔️
The number of pages and illustrations
The price and availability of the source

Correct Answer Logic:

Authority is the most critical evaluation criterion for reference sources. It refers to the credentials and expertise of the author or editor, and the credibility of the publishing body, which determines the reliability of the information provided.

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Mathematics QUESTION #4107

Question 13

The residue of $\dfrac{5Z-2}{Z(Z-1)}$ at the pole $Z=0$ is:

$3$
$2$✔️
$5$
$-2$

Correct Answer Logic:

Residue at simple pole $Z=0$: $\lim_{Z\to0}Z\cdot\dfrac{5Z-2}{Z(Z-1)}=\lim_{Z\to0}\dfrac{5Z-2}{Z-1}=\dfrac{0-2}{0-1}=\dfrac{-2}{-1}=2$. So Res$_{Z=0}=2$.

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Electrical Engineering QUESTION #2137

Question 14

In a balanced three-phase star-connected system, what is the phase relationship between the line voltage $V_L$ and its corresponding phase voltage $V_{ph}$?

$V_L$ leads $V_{ph}$ by $30^\circ$✔️
$V_L$ lags $V_{ph}$ by $30^\circ$
$V_L$ and $V_{ph}$ are in phase
$V_L$ leads $V_{ph}$ by $120^\circ$

Correct Answer Logic:

In a star (Wye) connection, the line voltage is $\sqrt{3}$ times the phase voltage and leads the phase voltage by $30^\circ$.

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Pakistan Affairs QUESTION #126

Question 15

What is the total length of Pakistan's coastline?

758 km
1058 km✔️
1258 km
990 km

Correct Answer Logic:

The coastline of Pakistan is approximately 1058 km (sometimes cited as 1046 km) along the Arabian Sea.

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English QUESTION #712

Question 16

T.S. Eliot's "The Love Song of J. Alfred Prufrock" is a:

Ballad
Dramatic Monologue✔️
Epic
Pastoral

Correct Answer Logic:

The poem is a modern dramatic monologue revealing the inner thoughts of a hesitant, insecure narrator.

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General Knowledge QUESTION #4475

Question 17

On June 22, 2025, US B2 Bombers and Tomahawk missiles hit Iran’s nuclear facility as part of:

Operation Inherent Resolve
Operation Resolute Support
Operation Dragon
Operation Midnight Hammer✔️

Correct Answer Logic:

No verified real-world operation; 'Midnight Hammer' appears exam-constructed.

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Mechanical Engineering QUESTION #2500

Question 18

The total axial deformation $\delta$ of a bar of length $l$, cross-sectional area $A$, modulus of elasticity $E$, under axial force $F$ is:

$\delta = \frac{AE}{Fl}$
$\delta = \frac{Fl}{AE}$✔️
$\delta = \frac{FA}{El}$
$\delta = FAEl$

Correct Answer Logic:

From Hooke's Law: $\sigma = E\varepsilon$, where $\sigma = F/A$ and $\varepsilon = \delta/l$. Solving: $\delta = Fl/(AE)$.

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Others section QUESTION #4812

Question 19

The lowest percentage of internet users globally is found in which region?

North America
Africa✔️
Australia
Latin America

Correct Answer Logic:

Africa has historically had the lowest internet penetration rate among all global regions, though the rate has been growing rapidly in recent years with mobile internet expansion.

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Others section QUESTION #4728

Question 20

Angela Merkel holds which political position in her country?

President of France
First Lady of Britain
Chancellor of Germany✔️
President of Germany

Correct Answer Logic:

Angela Merkel served as Chancellor of Germany from 2005 to 2021, becoming the first female Chancellor of Germany. The Chancellor is the head of government in Germany.

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