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Pakistan Affairs QUESTION #601

Question 1

Rohtas Fort, located in Jhelum was built by:

Zaheer ud Din Babur
Mohammad Tughlaq
Sher Shah Suri✔️
None of These

Correct Answer Logic:

Sher Shah Suri constructed this fortress in the 16th century.

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Mathematics QUESTION #6951

Question 2

For each $t\in\mathbb{R}$, let $[t]$ denote the greatest integer $\leq t$. Evaluate: $\displaystyle\lim_{x\to0^+} x\left(\left[\dfrac{1}{x}\right]+\left[\dfrac{2}{x}\right]+\cdots+\left[\dfrac{15}{x}\right]\right)$

Equal to 120✔️
Does not exist
Equal to 0
Equal to 15

Correct Answer Logic:

For large $N=1/x$, $[k/x]\approx kN$ with error at most 1.

$x\sum_{k=1}^{15}\left[\dfrac{k}{x}\right] \approx x\sum_{k=1}^{15}\dfrac{k}{x} = \sum_{k=1}^{15}k = \dfrac{15\cdot16}{2} = 120$

More rigorously: $[k/x] = k/x - \{k/x\}$ where $0\leq\{k/x\}<1$. Then $x\cdot\{k/x\}

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Accounting & Finance QUESTION #6211

Question 3

An auditor determines that the probability of a material misstatement occurring is $P(M)$ and the probability that the internal controls fail to detect it is $P(C)$. If the auditor's goal is to keep the total Audit Risk $AR \le 0.05$, which analytical approach is required?

Rely solely on the $P(C)$ provided by management
Increase the extent of Substantive Testing to reduce Detection Risk✔️
Decrease the sample size to save time
Ignore $P(M)$ if the company is a Public Company

Correct Answer Logic:

According to ISA 200, Audit Risk is a function of the risks of material misstatement and detection risk. If inherent and control risks are high, the auditor must reduce Detection Risk through increased substantive testing to maintain a low $AR$.

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General Knowledge QUESTION #8651

Question 4

The Big Bang theory is related to the origin of which of the following?

Origin of the universe✔️
Origin of species
Atomic bomb
Rock music

Correct Answer Logic:

The Big Bang theory explains the origin of the universe.

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Physics QUESTION #4387

Question 5

For two equal positive charges, the electric field is weakest:

Midway between them✔️
Along the perpendicular bisector
Close to either charge
At infinity

Correct Answer Logic:

At the midpoint between two equal positive charges, the electric fields due to each charge are equal in magnitude but opposite in direction, so they cancel out. The resultant electric field is zero (weakest) at this point.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3588

Question 6

Alkaloids are basic nitrogenous compounds that usually produce a physiological effect. Most give a positive result with:

Mayer's Reagent✔️
Benedict's Solution
Iodine Test
Biuret Test

Correct Answer Logic:

Mayer's reagent (potassium mercuric iodide) is a general spray/test for alkaloids.

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Economics QUESTION #1687

Question 7

The theory of absolute advantage in international trade — arguing that nations should export goods they produce most efficiently — was originally articulated by:

Alfred Marshall
Adam Smith✔️
Lionel Robbins
None of these

Correct Answer Logic:

Adam Smith introduced the theory of absolute advantage in his landmark 1776 work 'The Wealth of Nations.' He argued that international trade is mutually beneficial when each country specialises in producing goods it can produce more efficiently (at lower absolute cost) than others. David Ricardo later extended this to comparative advantage. Alfred Marshall contributed to marginal utility theory; Lionel Robbins defined economics as the science of scarcity.

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General Knowledge QUESTION #8950

Question 8

The only vitamin which cannot be stored in the human body is:

Vitamin C✔️
Vitamin D
Vitamin K
None of these

Correct Answer Logic:

Vitamin C is water-soluble and cannot be stored in large amounts.

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General Knowledge QUESTION #8616

Question 9

How long does light take to travel from the Sun to Earth?

2 minutes
4 minutes
$6\frac{1}{2}$ minutes
$8\frac{1}{2}$ minutes✔️

Correct Answer Logic:

Light takes about 8 minutes and 20 seconds to reach Earth.

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Chemistry QUESTION #451

Question 10

Osmotic pressure of a solution is __________ property.

Obligative
Fractional
Colligative✔️
Automated

Correct Answer Logic:

Osmotic pressure is a colligative property

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Islamic Studies QUESTION #241

Question 11

Shaykh Ahmad Sirhandi's (Mujaddid Alif Sani) line of Sufism was:

Qadiriya
Suhrawardiya
Chishtiyya
None of these✔️

Correct Answer Logic:

He belonged to the Naqshbandiya order.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2980

Question 12

In which year was the first edition of the British Pharmacopoeia (BP) published?

1858
1864✔️
1898
1914

Correct Answer Logic:

The first BP was published in 1864, merging the London, Edinburgh, and Dublin pharmacopoeias.

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Pakistan Affairs QUESTION #591

Question 13

Band i Matram', was part of a Hindi novel:

Verdict on India
Anand Math✔️
Mirat al Aroos
None of These

Correct Answer Logic:

It is a poem from Bankim Chandra Chattopadhyay's 1882 novel Anandamath.

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Physics QUESTION #1035

Question 14

Two inclined surfaces of equal length $L$ at $45°$: one rough, one smooth. A body takes 2 times longer on the rough surface. The coefficient of kinetic friction $\mu_k$ is close to:

0.5
0.75✔️
0.25
0.40

Correct Answer Logic:

On smooth: $a_s = g\sin45°$. On rough: $a_r = g(\sin45°-\mu_k\cos45°)$. Time ratio: $t_r/t_s=2$. Since $L = \frac{1}{2}at^2$: $t\propto 1/\sqrt{a}$. So $\frac{t_r}{t_s}=\sqrt{\frac{a_s}{a_r}}=2\Rightarrow \frac{a_s}{a_r}=4\Rightarrow a_r=\frac{a_s}{4}$. $g(\sin45°-\mu_k\cos45°)=\frac{g\sin45°}{4}\Rightarrow 1-\mu_k=\frac{1}{4}\Rightarrow \mu_k=0.75$.

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Islamic Studies QUESTION #332

Question 15

"Tarjuman Al-Qur'an" is the title of which Companion?

Abdullah bin Abbas✔️
Muaz bin Jabl
Abdullah bin Masood
Usman bin Affan

Correct Answer Logic:

Abdullah bin Abbas (RA) was known as the 'Interpreter of the Quran' due to his deep knowledge.

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English QUESTION #2698

Question 16

Select the correctly punctuated possessive form:

The childrens' toys are here.
The children's toys are here.✔️
The childrens toys are here.
The childrens's toys are here.

Correct Answer Logic:

'Children' is already plural; to show possession, add 's.

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Geography QUESTION #6344

Question 17

'Deindustrialization' in developed countries since the 1970s primarily reflects:

Manufacturing employment and output share declining relative to services✔️
Complete elimination of manufacturing sectors
Relocation of all industry to developing countries
Reduced industrial productivity and competitiveness

Correct Answer Logic:

Deindustrialization describes the relative decline of manufacturing employment and GDP share (not absolute production) as economies shift toward services. Causes include rising manufacturing productivity, offshoring, and income-elastic demand for services.

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Reading and Writing (Module-1) QUESTION #5418

Question 18

Samuel Coleridge-Taylor was a prominent classical music composer from England who toured the US three times in the early 1900s. The child of a West African father and an English mother, Coleridge-Taylor emphasized his mixed-race ancestry. For example, he referred to himself as Anglo-African. _______ he incorporated the sounds of traditional African music into his classical music compositions. Which choice completes the text with the most logical transition?

In addition,✔️
Actually,
However,
Regardless,

Correct Answer Logic:

'In addition' signals that incorporating African music is a second example of how Coleridge-Taylor emphasized his mixed-race ancestry.

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General Knowledge QUESTION #8619

Question 19

What is the velocity of sound in air at standard conditions?

250 meters/second
331 meters/second✔️
434 meters/second
561 meters/second

Correct Answer Logic:

Sound travels at approximately 331 m/s in dry air at 0°C.

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Physics QUESTION #4381

Question 20

The unit of temperature coefficient of resistivity is:

$\dfrac{1}{C}$
$\dfrac{1}{K}$✔️
$\dfrac{1}{A}$
$\dfrac{1}{\Omega}$

Correct Answer Logic:

Temperature coefficient of resistivity $\alpha$ is defined by $\rho = \rho_0(1 + \alpha \Delta T)$. For dimensional consistency, $\alpha = \dfrac{\Delta\rho}{\rho_0 \cdot \Delta T}$, so its unit is $K^{-1}$ or $\dfrac{1}{K}$.

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