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Correct Answer Logic:
At equilibrium, the horizontal component of the tension $T \sin(45^\circ)$ equals the applied force $F$, and the vertical component $T \cos(45^\circ)$ equals the weight $mg$. Dividing the two equations gives $F = mg \tan(45^\circ)$. Since $\tan(45^\circ) = 1$ and $mg = 10 \times 10 = 100$, the force $F = 100\text{ N}$.
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Mathematics QUESTION #11195
Question 7922
With the notation from the previous question, $\tau\mathbf{b} - k\mathbf{t} =$
  • $\dfrac{d\mathbf{t}}{ds}$
  • $\dfrac{d\mathbf{n}}{ds}$βœ”οΈ
  • $\dfrac{d\mathbf{b}}{ds}$
  • $\dfrac{d}{ds}(\mathbf{t}\times\mathbf{n})$
Correct Answer Logic:
The Frenet-Serret formulae are: $\dfrac{d\mathbf{t}}{ds} = k\mathbf{n}$, $\dfrac{d\mathbf{n}}{ds} = -k\mathbf{t} + \tau\mathbf{b}$, $\dfrac{d\mathbf{b}}{ds} = -\tau\mathbf{n}$, where $k$ is curvature and $\tau$ is torsion. Therefore $\tau\mathbf{b} - k\mathbf{t} = \dfrac{d\mathbf{n}}{ds}$.
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Correct Answer Logic:
On the equatorial axis (y-axis): \(V=0\) always. \(E_{axial}=\frac{2kP}{r^3}\) and \(E_{equatorial}=\frac{kP}{r^3}\). At distance \(r\): \(E_0=\frac{2kP}{r^3}\). At distance \(2r\) on equatorial: \(E=\frac{kP}{(2r)^3}=\frac{kP}{8r^3}=\frac{E_0}{16}\). So: zero and \(\frac{E_0}{16}\).
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Journalism / Mass Communication QUESTION #6421
Question 7924
In the context of photography's role in journalism, who was the founder of the first successful photography-based photo-agency and when did Life magazine (a major vehicle for photojournalism) begin publication?
  • Mathew Brady founded the agency in 1850; Life magazine began in 1920
  • George Eastman founded it in 1888; Life magazine began in 1925
  • Life magazine (begun 1936) along with Look (begun 1937) provided the primary outlets for documentary photojournalism; Henri Cartier-Bresson is often credited with founding the modern photo-agency modelβœ”οΈ
  • Walker Evans and the Farm Security Administration created the first formal photojournalism programme; Life magazine was established in 1950
Correct Answer Logic:

The textbook is specific about Life magazine (begun 1936) and Look magazine (begun 1937) as the large-circulation picture magazines that “provided an outlet and a vast audience for documentary work.” The Great Depression of the 1930s provided the subject matter: the Farm Security Administration (FSA) under Roy Stryker commissioned photographers including Walker Evans, Arthur Rothstein, Russell Lee, and Dorothea Lange to document Depression-era America. World War II further developed photojournalism β€” photographers including Margaret Bourke-White, Robert Capa, W. Eugene Smith, and Edward Steichen documented the global conflict. The development of the 35mm “candid” camera by Oskar Barnack (Leica, first marketed 1925) made documentary photographers “infinitely more mobile and less conspicuous.” Colour film for transparencies was introduced in 1935; the Polaroid Land camera in 1947.

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Library Sciences QUESTION #1559
Question 7925
The principle of 'hospitality' in classification refers to:
  • The welcoming attitude of library staff toward users
  • The capacity of a classification system to accommodate new subjects without disrupting the existing notationβœ”οΈ
  • The practice of providing comfortable reading spaces
  • The cooperation between libraries in sharing resources
Correct Answer Logic:
Hospitality in classification theory means a system's ability to insert new subjects, disciplines, or topics into the existing structure without requiring fundamental reorganization. DDC and UDC are considered more hospitable than older enumerative systems because of their faceted and hierarchical structure.
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English QUESTION #8304
Question 7926
You _______ respect your parents and teachers.
  • Shouldβœ”οΈ
  • Would
  • Would have
  • Should have
Correct Answer Logic:
'Should' expresses moral obligation.
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Academic/Professional (Social Sciences) QUESTION #6506
Question 7927
The 'Power Elite' is a concept developed by:
  • Max Weber
  • C. Wright Millsβœ”οΈ
  • Vilfredo Pareto
  • Robert Michels
Correct Answer Logic:
Mills described a small group of military, corporate, and political leaders who dominate American policy.
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Mathematics QUESTION #4101
Question 7928
The Maclaurin series for \(f(Z)=Z^2e^{3Z}\), using \(e^{3Z}=\displaystyle\sum_{n=0}^{\infty}\dfrac{3^nZ^n}{n!}\), begins as:
  • \(Z^2+3Z^3+\dfrac{9}{2}Z^4+\cdots\)βœ”οΈ
  • \(Z^2+3Z^3+\dfrac{9}{2}Z^4+\dfrac{9}{2}Z^5+\cdots\)
  • \(1+3Z+\dfrac{9Z^2}{2}+\cdots\)
  • \(Z^2+Z^3+Z^4+\cdots\)
Correct Answer Logic:
\(Z^2e^{3Z}=Z^2\sum_{n=0}^\infty\dfrac{3^nZ^n}{n!}=Z^2+3Z^3+\dfrac{3^2}{2!}Z^4+\dfrac{3^3}{3!}Z^5+\cdots = Z^2+3Z^3+\dfrac{9}{2}Z^4+\dfrac{9}{2}Z^5+\cdots\).
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Correct Answer Logic:
In a 'Notice' jurisdiction, a subsequent bona fide purchaser (BFP) who takes without notice of the prior unrecorded interest wins, regardless of whether they record first (though recording is still wise).
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Urdu QUESTION #1398
Question 7930
ΩΎΨ±ΫŒΩ… Ϊ†Ω†Ψ― Ϊ©Ψ§ Ψ§Ψ΅Ω„ Ω†Ψ§Ω… Ψ¨ΨͺΨ§Ψ¦ΫŒΫ’ΨŸ
  • Ω…Ψ§Ψ―ΪΎΩˆ Ψ±Ψ§Ω…
  • Ψ§Ω…Ψ±Ψͺ Ω„Ψ§Ω„
  • Ψ―ΪΎΩ†ΩΎΨͺ Ψ±Ψ§Ψ¦Ϋ’βœ”οΈ
  • Ψ³Ψ―Ψ±Ψ΄Ω†
Correct Answer Logic:
Ω…Ω†Ψ΄ΫŒ ΩΎΨ±ΫŒΩ… Ϊ†Ω†Ψ― (1880–1936) Ϊ©Ψ§ Ψ§Ψ΅Ω„ Ω†Ψ§Ω… Ψ―ΪΎΩ†ΩΎΨͺ Ψ±Ψ§Ψ¦Ϋ’ ΨͺΪΎΨ§Ϋ” وہ اردو اور ΫΩ†Ψ―ΫŒ Ϊ©Ϋ’ یکساں ΨΉΨΈΫŒΩ… افسانہ Ω†Ϊ―Ψ§Ψ± اور Ω†Ψ§ΩˆΩ„ Ω†Ϊ―Ψ§Ψ± ΨͺΪΎΫ’Ϋ” Ψ§Ω† Ϊ©Ϋ’ Ω…Ψ΄ΫΩˆΨ± Ω†Ψ§ΩˆΩ„ΩˆΪΊ Ω…ΫŒΪΊ ''Ϊ―Ψ€Ψ―Ψ§Ω†''، ''بازارِ Ψ­Ψ³Ω†'' (اردو: ''سوزِ ΩˆΨ·Ω†'') Ψ΄Ψ§Ω…Ω„ ΫΫŒΪΊΫ” Ψ§Ω†ΫΫŒΪΊ ''افسانے Ϊ©Ψ§ باوا Ψ’Ψ―Ω…'' بھی کہا Ψ¬Ψ§ΨͺΨ§ ہے۔
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Correct Answer Logic:

Apply $R_1\to R_1+R_2+R_3$: each element in row 1 becomes $5x-4$.

Factor out $(5x-4)$: $\Delta = (5x-4)\begin{vmatrix}1&1&1\\2x&x-4&2x\\2x&2x&x-4\end{vmatrix}$

Apply $C_2-C_1, C_3-C_1$: $= (5x-4)\begin{vmatrix}1&0&0\\2x&-x-4&0\\2x&0&-x-4\end{vmatrix} = (5x-4)(x+4)^2$

Comparing with $(A+Bx)(x-A)^2$: $A=-4$, $B=5$. So $(A,B)=\mathbf{(-4,5)}$.

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Therapeutics and Patient Care QUESTION #3908
Question 7932
Which of the following medications is recommended as a specific treatment for benign prostatic hyperplasia (BPH) by reducing prostate volume?
  • Spironolactone
  • Cyproterone acetate
  • Finasterideβœ”οΈ
  • Tibolone
Correct Answer Logic:
Finasteride is a $5\alpha$-reductase inhibitor that reduces dihydrotestosterone (DHT) production, decreasing prostate volume and improving urinary symptoms in BPH.
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General Knowledge QUESTION #4820
Question 7933
In a bipolar international system, a global order with two dominant powers existed during which era?
  • World War I
  • World War II
  • Cold Warβœ”οΈ
  • Post-Cold War
Correct Answer Logic:
The Cold War era (1945–1991) is the primary example of a bipolar international system, with the United States and the Soviet Union as the two dominant superpowers competing for global influence.
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Chemistry QUESTION #7502
Question 7934

Match the compounds in Item I with their correct detection reagents in Item II:

Item I (Compound)Item II (Reagent)
(A) Lysine(P) 1-naphthol
(B) Furfural(Q) Ninhydrin
(C) Benzyl alcohol(R) KMnO$_4$
(D) Styrene(S) Ceric ammonium nitrate
  • (A)β†’(Q); (B)β†’(P); (C)β†’(S); (D)β†’(R)βœ”οΈ
  • (A)β†’(Q); (B)β†’(P); (C)β†’(R); (D)β†’(S)
  • (A)β†’(R); (B)β†’(P); (C)β†’(Q); (D)β†’(S)
  • (A)β†’(Q); (B)β†’(R); (C)β†’(S); (D)β†’(P)
Correct Answer Logic:

Matching logic:

  • Lysine is an amino acid β€” detected by ninhydrin (Q), which gives a purple colour with primary amines/amino acids.
  • Furfural is an aldehyde from furan β€” detected by 1-naphthol (P) via the Tollens-type or colour reaction specific to furfural.
  • Benzyl alcohol (PhCH$_2$OH) is a primary alcohol β€” detected by ceric ammonium nitrate (S), which gives a red colour with alcohols.
  • Styrene (Ph–CH=CH$_2$) has a C=C bond β€” oxidized by KMnO$_4$ (R), which gets decolourized.

Correct match: (A)β†’(Q), (B)β†’(P), (C)β†’(S), (D)β†’(R)

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2969
Question 7935
What is the weight of $50\text{ ml}$ of a liquid if its specific gravity is $1.20$?
  • 41.6 g
  • 50 g
  • 60 gβœ”οΈ
  • 72 g
Correct Answer Logic:
Weight $=$ Volume $\times$ Specific Gravity. $50\text{ ml} \times 1.20 = 60\text{ g}$.
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General Knowledge QUESTION #8972
Question 7936
An extremely small piece of silicon on which integrated circuits are placed is called:
  • Feed
  • Hotterith Code
  • Chipβœ”οΈ
  • Card reader
Correct Answer Logic:
A microchip is a small silicon device.
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English Literature QUESTION #10718
Question 7937
What collective name was given to the poets of the Auden Group in the 1930s?
  • New Signaturesβœ”οΈ
  • New Lines
  • New Romantics
  • New Apocalypse
Correct Answer Logic:
The poets of W. H. Auden's circle β€” including Auden, Stephen Spender, Cecil Day-Lewis, and Louis MacNeice β€” were collectively known as the 'New Signatures' group, named after Michael Roberts's 1932 anthology New Signatures. They were politically left-wing, socially engaged, and influenced by Marxism and Freudian psychology. 'New Lines' was a later 1956 anthology associated with the Movement poets.
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Home Economics QUESTION #6257
Question 7938
Residential design focusing on the 'Work Triangle' is primarily applied in which room?
  • Bedroom
  • Living Room
  • Kitchenβœ”οΈ
  • Bathroom
Correct Answer Logic:
The kitchen work triangle connects the sink, stove, and refrigerator for efficiency.
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Boilers Mechanical Engineering QUESTION #4055
Question 7939
'Boiler Horsepower' (BHP) is equivalent to the evaporation of:
  • $34.5~lb$ of water per hour from and at $212^\circ\text{F}$βœ”οΈ
  • $1~kg$ of water
  • $1000~lb$ of water
  • $1~hp$ motor
Correct Answer Logic:
This is an old unit of measure still used in North America for smaller boilers.
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Boilers Mechanical Engineering QUESTION #2431
Question 7940
The Nusselt number \(Nu = hL/k\) physically represents:
  • Temperature gradient at surface divided by overall temperature difference
  • The ratio of convective to conductive heat transfer across the fluid boundary layerβœ”οΈ
  • The ratio of thermal to momentum boundary layer thickness
  • The ratio of inertial to viscous forces
Correct Answer Logic:
Nusselt number: \(Nu=hL/k\), the ratio of convective heat transfer to conductive heat transfer across the fluid layer.
Uploaded by: Fani Warraich