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Civil / Architecture QUESTION #2340
Question 3141
According to Rankine's theory, the passive earth pressure coefficient \(K_p\) for a frictionless vertical wall with horizontal cohesionless backfill (friction angle \(\phi\)) is:
  • \(K_p = \dfrac{1 - \sin\phi}{1 + \sin\phi}\)
  • \(K_p = \tan^2\!\left(45Β° - \dfrac{\phi}{2}\right)\)
  • \(K_p = \dfrac{1 + \sin\phi}{1 - \sin\phi}\)βœ”οΈ
  • \(K_p = 1 + \sin\phi\)
Correct Answer Logic:
Rankine's passive pressure coefficient: \(K_p = \dfrac{1 + \sin\phi}{1 - \sin\phi} = \tan^2\!\left(45Β° + \dfrac{\phi}{2}\right)\). Note that \(K_p = 1/K_a\). Passive pressure develops when the wall moves into the retained soil, mobilizing the maximum shear resistance. Options A and B represent the active coefficient \(K_a\).
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General Knowledge QUESTION #8856
Question 3142
Why did Quaid-e-Azam launch Direct Action Day on August 16, 1946?
  • To protest breach of pledge by Viceroy Lord Wavellβœ”οΈ
  • To oppose Congress policies
  • To get mass support for party membership
  • To curb the upsurge of national Muslims
Correct Answer Logic:
Direct Action Day protested against the failure of the Cabinet Mission.
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Correct Answer Logic:
'Reflect' means show or make apparent. The context indicates the Moon's surface may not accurately show signs of early impacts due to its softer condition when forming.
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Mathematics QUESTION #1302
Question 3144
For the power series solution of \((x^2+1)y''+xy'-y=0\), we assume \(y=\sum_{n=0}^\infty a_n x^n\). This ODE has an ordinary point at \(x=0\) because:
  • The coefficients are all constants
  • All singular points are at \(x=\pm i\), not at \(x=0\)βœ”οΈ
  • The equation is linear
  • The ODE is homogeneous
Correct Answer Logic:
Ordinary points are where \(P(x)=1+x^2\neq0\). The singular points are where \(P(x)=0\Rightarrow x^2+1=0\Rightarrow x=\pm i\). Since \(x=0\) is not a singular point, it is an ordinary point, and a power series solution \(\sum a_n x^n\) converges in a neighbourhood of \(x=0\).
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Accounting Finance and Punjab Sales Tax on Services QUESTION #2555
Question 3145
Under section 16(1) of the Punjab Sales Tax on Services Act, 2012, a registered person entitled to claim input tax adjustment must hold a valid tax invoice not older than how many tax periods?
  • Three tax periods
  • Six tax periodsβœ”οΈ
  • Eight tax periods
  • Twelve tax periods
Correct Answer Logic:
Section 16(1) explicitly states that the registered person must hold a true and valid tax invoice not older than six tax periods showing the amount of tax charged under the Act on the services received.
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General Knowledge QUESTION #4720
Question 3146
Under Vision 2025, WAPDA planned to construct Satpara Dam in which region?
  • Balochistan
  • NWFP
  • Northern Areasβœ”οΈ
  • Sindh
Correct Answer Logic:
Satpara Dam was constructed on the Satpara stream near Skardu in the Northern Areas (now Gilgit-Baltistan) of Pakistan.
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Economics QUESTION #1698
Question 3147
The World Bank's classification of countries into four income groups (low income, lower-middle income, upper-middle income, and high income) is based primarily on:
  • Annual economic growth rate
  • Labour force participation rate
  • Unemployment rate
  • Gross National Income (GNI) per capitaβœ”οΈ
Correct Answer Logic:
The World Bank classifies all countries into four income categories using Gross National Income (GNI) per capita, calculated using the Atlas method (to smooth out exchange rate fluctuations). The thresholds are updated annually. For example, low-income countries have GNI per capita below approximately \$1,135. This classification determines eligibility for World Bank lending facilities (e.g., IDA for low-income countries, IBRD for middle-income countries).
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Boilers Mechanical Engineering QUESTION #2513
Question 3148
The Soderberg criterion for fatigue is more conservative than the modified Goodman criterion because it uses which strength in place of \(S_{ut}\)?
  • Endurance limit \(S_e\)
  • Proof strength \(S_p\)
  • Yield strength \(S_y\)βœ”οΈ
  • Fracture strength \(S_f\)
Correct Answer Logic:
The Soderberg criterion: \(\frac{\sigma_a}{S_e}+\frac{\sigma_m}{S_y}=\frac{1}{n}\). It substitutes yield strength \(S_y\) for ultimate strength \(S_{ut}\). Since \(S_y < S_{ut}\), the Soderberg line falls inside the Goodman line, making it more conservative.
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Civil Procedure QUESTION #3712
Question 3149
Alice offers to sell her car to Bob for $\text{\$5,000}$. She says, 'I will keep this offer open for 10 days.' Three days later, Alice sells the car to Charlie. Bob hears about the sale to Charlie from a mutual friend and immediately calls Alice to accept the offer. Is there a contract between Alice and Bob?
  • Yes, because Alice promised to keep the offer open for 10 days.
  • No, because the offer was revoked when Alice sold the car to Charlie and Bob learned of it.βœ”οΈ
  • Yes, because Bob accepted before the 10-day period expired.
  • No, because the car was already gone, making the contract 'physically impossible.'
Correct Answer Logic:
Under common law, an offer can be revoked at any time before acceptance unless there is consideration to keep it open (an option contract). Revocation is effective when the offeree receives reliable information that the offeror has taken action inconsistent with the offer (indirect revocation).
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Law QUESTION #9709
Question 3150
Under Article 2(7), when the Court 'may presume' a fact, it means the Court:
  • Must regard the fact as proved
  • May either regard the fact as proved unless disproved, OR may call for proof of itβœ”οΈ
  • Shall definitely presume the fact
  • Cannot call for proof of it
Correct Answer Logic:
Article 2(7) states that whenever the Court may presume a fact, it may either regard such fact as proved, unless and until it is disproved, OR may call for proof of it β€” giving the Court discretion.
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General Knowledge QUESTION #11554
Question 3151
Which programming language is utilised within MS Office applications to build Macros?
  • Visual C++
  • Visual Java
  • Visual Basic (VBA)βœ”οΈ
  • None of the above
Correct Answer Logic:
Microsoft Office uses Visual Basic for Applications (VBA) β€” a subset of Visual Basic β€” as its macro programming language. VBA automates repetitive tasks, creates custom functions, and builds user interfaces within Office apps. The VBA editor is accessed via Alt+F11 in Word, Excel, and other Office applications.
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Correct Answer Logic:
Laspeyres' index \(= \dfrac{\sum p_1 q_0}{\sum p_0 q_0} \times 100\) uses base period quantities \(q_0\) as fixed weights. Paasche's index \(= \dfrac{\sum p_1 q_1}{\sum p_0 q_1} \times 100\) uses current period quantities \(q_1\). Fisher's Ideal index is the geometric mean of both.
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Islamic Studies QUESTION #211
Question 3153
What was the main reason for factionalism during the Caliphate of Ali (رآي Ψ§Ω„Ω„Ω‡ ΨΉΩ†Ω‡)?
  • Disputes over beliefs
  • Assassination of Usman (رآي Ψ§Ω„Ω„Ω‡ ΨΉΩ†Ω‡)βœ”οΈ
  • Economic hardship
  • None of these
Correct Answer Logic:
The demand for 'Qisas' (retribution) for Caliph Usman led to internal conflicts.
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Journalism / Mass Communication QUESTION #6391
Question 3154
The concept of polarization as a behaviour of language in communication refers to which of the following problems?
  • Languages allow communicators to express all nuances and gradations of meaning perfectly
  • Language forces communicators to describe things in extreme binary positions (good/bad, yes/no), when the truth usually lies somewhere in between on a spectrumβœ”οΈ
  • Polarization refers to the political bias inherent in all mass media
  • Languages become increasingly simplified over time, losing expressive power
Correct Answer Logic:

Polarization is one of the key ways in which language fails as a communication tool. The textbook explains that languages typically offer binary or extreme descriptors β€” good or bad, yes or no, right or wrong β€” when reality is usually a complex continuum. Examples:

  • A person is called “good” or “bad” β€” but in reality most people have both qualities
  • At elections, you vote yes or no to a candidate's entire platform β€” but you may agree with some policies and disagree with others
  • You call a film “good” or “bad” β€” but you might love the music and hate the direction

Polarized language forces communicators to take extreme positions that do not reflect their actual nuanced views. This distorts communication, causes people to make and then over-defend oversimplified judgments, and is a significant barrier to productive dialogue β€” especially in political and social discourse in mass media.

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Bio-Technology QUESTION #10566
Question 3155
A culture doubles every 2 hours. Starting from $x_0 = 0.1$ g/L, the biomass after 8 hours is:
  • $0.4$ g/L
  • $0.8$ g/L
  • $1.6$ g/Lβœ”οΈ
  • $3.2$ g/L
Correct Answer Logic:
During exponential growth: $x = x_0 \cdot 2^{n}$ where $n$ is the number of doublings. In 8 hours with a doubling time $t_d = 2$ h: $n = 8/2 = 4$ doublings. Therefore: $x = 0.1 \times 2^4 = 0.1 \times 16 = \mathbf{1.6}$ g/L. Equivalently, using $\mu = \ln2/t_d = 0.347$ h⁻¹: $x = 0.1 \cdot e^{0.347 \times 8} = 1.6$ g/L.
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Dairy Food Science and Technology QUESTION #5922
Question 3156
Which statement about UHT milk is TRUE?
  • UHT milk must be stored refrigerated immediately after production
  • UHT milk can be stored at room temperature for \(6\text{–}9\) months due to commercial sterility achieved by aseptic processing (\(135\text{–}150^{\circ}\text{C}\) for \(2\text{–}5\) s) and packagingβœ”οΈ
  • UHT milk has a higher nutritional value than HTST-pasteurized milk due to higher temperature use
  • UHT processing completely destroys all vitamins in milk
Correct Answer Logic:
UHT milk achieves commercial sterility and is packaged aseptically, allowing ambient storage for \(6\text{–}9\) months. However UHT treatment causes more heat damage than HTST: lysine loss (\(\approx 5\text{–}10\%\)), thiamine loss (\(\approx 5\text{–}20\%\)), and slight cooked flavor from \(\text{H}_2\text{S}\) release and Maillard reactions.
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Civil Procedure QUESTION #5685
Question 3157
A party fails to obey a discovery order. The court, under Rule 37(b)(2)(A), may issue an order that:
  • Directs that the matters embraced in the order or other designated facts be taken as established for purposes of the action.
  • Prohibits the disobedient party from supporting or opposing designated claims or defenses.
  • Strikes pleadings in whole or in part.
  • All of the above.βœ”οΈ
Correct Answer Logic:
Rule 37(b)(2)(A) provides a broad range of sanctions, including establishing facts, prohibiting claims/defenses, and striking pleadings.
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Accounting &amp; Finance QUESTION #1218
Question 3158
Which of the following statements is generally correct about the reliability of audit evidence?
  • To be reliable, evidence should be conclusive rather than persuasive
  • Effective internal control system provides reliable audit evidenceβœ”οΈ
  • Evidence obtained from outside sources routed through the client
  • All of these
Correct Answer Logic:
An effective internal control system reduces the risk of material misstatement, making the audit evidence obtained in a well-controlled environment more reliable. Option (A) is incorrect β€” audit evidence is generally persuasive, not conclusive. Option (C) is incorrect β€” evidence from outside sources routed through the client is less reliable than direct external confirmation.
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Geology QUESTION #10634
Question 3159
In a Representative Fraction (R.F.) such as 1:50,000, the denominator represents the:
  • Map distance
  • Ground distanceβœ”οΈ
  • Map scale factor
  • A dimensionless number only
Correct Answer Logic:
In a Representative Fraction (R.F.), the fraction $\dfrac{1}{n}$ means 1 unit on the map corresponds to $n$ units on the ground (Earth's surface). The denominator therefore represents the ground distance in the same units as the numerator (map distance). For example, R.F. = 1:50,000 means 1 cm on the map = 50,000 cm (500 m) on the ground. A larger denominator means a smaller (less detailed) scale.
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Pakistan Affairs QUESTION #313
Question 3160
Sardar Abdur Rabb Nishtar was the first _________ of Pakistan.
  • Interior Minister
  • Defense Minister
  • Communication Ministerβœ”οΈ
  • None of these
Correct Answer Logic:
He was a key leader of the Pakistan Movement and served as the first Communication Minister.+1
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