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Mathematics QUESTION #1257

If $\varphi: G \to H$ is an epimorphism (surjective homomorphism) with $K = \ker\varphi$, then by the First Isomorphism Theorem:

G is isomorphic to H
$G/K \cong H$✔️
$K \cong H$
$G \cong K \times H$

Correct Answer Logic:

$\textbf{First Isomorphism Theorem:}$ If $\varphi: G\to H$ is an epimorphism, then $G / \ker\varphi \cong H$. The quotient group $G/K$ is isomorphic to the image $H$.

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Maths QUESTION #7972

Question 8102

A rectangle has a length of 10 cm and a perimeter of 30 cm. Find the width of the rectangle.

5 cm✔️
10 cm
15 cm
20 cm

Correct Answer Logic:

Perimeter $= 2(l+w) \Rightarrow 30 = 2(10+w) \Rightarrow 15 = 10+w \Rightarrow w = 5$ cm

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Biology Zoology Botany QUESTION #1367

Question 8103

What is the characteristic feature of the Fabaceae family?

Composite flowers
Opposite leaves
Papilionaceous corolla✔️
Parallel venation

Correct Answer Logic:

Fabaceae (legume family, previously Leguminosae) is characterised by the papilionaceous (butterfly-like) corolla consisting of 5 petals: 1 standard (vexillum), 2 wings (alae), and 2 fused keel petals (carina). Other features include compound leaves, stipules, and the presence of root nodules with nitrogen-fixing Rhizobium bacteria.

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Accounting & Finance QUESTION #6094

Question 8104

P Limited produces chairs at $70 each. It receives a special order for 1,000 chairs with padded seats. This requires $6,000 in extra materials, 500 extra labour hours at $15/hour, and $2,000 extra overheads. What is the total cost of this batch?

$13,500
$15,500
$83,500
$85,500✔️

Correct Answer Logic:

1. Base cost = 1,000 $\times$ $70 = $70,000.
2. Extra materials = $6,000.
3. Extra labour = 500 $\times$ $15 = $7,500.
4. Extra overheads = $2,000.
Total = $70,000 + $6,000 + $7,500 + $2,000 = $85,500.

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General Knowledge QUESTION #4687

Question 8105

By which year was the process of European economic integration originally scheduled to be completed?

1990
1992✔️
1994
1996

Correct Answer Logic:

The European Single Market was scheduled to be completed by 1992 under the Single European Act of 1986.

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Physics QUESTION #7332

Question 8106

A projectile is thrown at angles $(45°-\theta)$ and $(45°+\theta)$ with the horizontal. The ratio of their horizontal ranges is:

$1:1$✔️
$2:3$
$1:2$
$2:1$

Correct Answer Logic:

Using $R = \dfrac{u^2\sin2\alpha}{g}$:

$R_1 = \dfrac{u^2\sin(90°-2\theta)}{g} = \dfrac{u^2\cos2\theta}{g}$

$R_2 = \dfrac{u^2\sin(90°+2\theta)}{g} = \dfrac{u^2\cos2\theta}{g}$

$R_1 : R_2 = \mathbf{1:1}$

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MBBS QUESTION #10193

Question 8107

A prenatal ultrasound shows polyhydramnios. This finding is classically associated with which fetal anomaly of the foregut, due to impaired fetal swallowing of amniotic fluid?

Esophageal atresia / tracheoesophageal fistula✔️
Bilateral renal agenesis
Simple umbilical hernia
Isolated cleft lip

Correct Answer Logic:

In esophageal atresia (with or without tracheoesophageal fistula), the fetus cannot swallow and absorb amniotic fluid normally, leading to its accumulation as polyhydramnios — a useful prenatal clue prompting postnatal evaluation for feeding difficulty and inability to pass a nasogastric tube.

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MBBS QUESTION #10185

Question 8108

A patient presents with a soft, reducible swelling below and lateral to the pubic tubercle, most consistent with a femoral hernia. This swelling protrudes through:

The inguinal canal, above and medial to the pubic tubercle
The femoral ring/canal, medial to the femoral vein✔️
The obturator foramen
The superficial inguinal ring only

Correct Answer Logic:

A femoral hernia passes through the femoral ring, medial to the femoral vein within the femoral canal, presenting below and lateral to the pubic tubercle — distinguishing it clinically from an inguinal hernia, which emerges above and medial to the tubercle.

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Medicinal Chemistry and Biopharmaceutics QUESTION #3816

Question 8109

Wool fat is unavailable and must be replaced by lanolin ($28\%$ water, $72\%$ wool fat). What amounts of lanolin and water are needed for the prescription: zinc oxide $2$ g, calamine $2$ g, wool fat $36$ g, water to $60$ g?

$34$ g lanolin and $22$ mL water
$40$ g lanolin and $16$ mL water
$46$ g lanolin and $10$ mL water
$50$ g lanolin and $6$ mL water✔️

Correct Answer Logic:

Lanolin needed $= \dfrac{36}{0.72} = 50$ g. Water from lanolin $= 50 \times 0.28 = 14$ mL. Total water in formula $= 60 - 2 - 2 - 36 = 20$ mL. Additional water $= 20 - 14 = 6$ mL.

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Quantitative Reasoning QUESTION #8130

Question 8110

The most striking aspect of this politician is how often his positions have been (i)_______ rather than ideological — adjusting to political realities at any given moment. Yet he does not piously (ii)_______ political principles only to abandon them later. Rather, he seeks in subtle ways to balance political self-interest with a (iii)_______, seeing himself as an instrument of some enduring higher purpose.

strategic .. brandish .. deeply felt moral code✔️
quixotic .. flout .. profound cynicism
self-righteous .. follow .. thoroughgoing pragmatism
strategic .. flout .. thoroughgoing pragmatism

Correct Answer Logic:

Blank (i): The politician adapts to reality rather than ideology — strategic fits. 'Quixotic' means idealistic/impractical, which contradicts realism. Blank (ii): He does not piously declare principles only to betray them — brandish (wave around/display ostentatiously) fits the hypocritical display he avoids. 'Flout' means openly break, which changes the meaning. Blank (iii): He balances self-interest with something principled — deeply felt moral code fits his self-image as serving a higher purpose.

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Biology QUESTION #7286

Question 8111

One of the free-living, anaerobic nitrogen-fixers is:

Azotobacter
Beijerinckia
Rhodospirillum✔️
Rhizobium

Correct Answer Logic:

Rhodospirillum is a free-living, anaerobic, photosynthetic nitrogen-fixer (purple non-sulfur bacterium). Azotobacter and Beijerinckia are free-living but aerobic nitrogen-fixers. Rhizobium is symbiotic (lives in legume root nodules). Rhodospirillum fixes nitrogen under anaerobic conditions using light energy.

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Accounting & Finance QUESTION #9644

Question 8112

In Departmental Accounts, income tax expense is allocated among departments on the basis of:

Sales revenue of each department
Number of employees in each department
Area occupied by each department
Departmental operating profits✔️

Correct Answer Logic:

According to the FIN611 text, income tax expense is divided on the basis of departmental operating profits. This is unlike other operating expenses which are allocated on bases such as sales, employees, or floor area.

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Islamic Studies QUESTION #207

Question 8113

Which is the year of the blessed birth of Prophet Muhammad (ﷺ)?

570 or 571 CE✔️
575 or 576 CE
590 or 591 CE
595 or 596 CE

Correct Answer Logic:

The Prophet (ﷺ) was born in the "Year of the Elephant," approx. 570/571 CE.

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Reading and Writing (Module-1) QUESTION #10416

Question 8114

The old factory, now ------- , stood as a rusting reminder of the town's once-thriving industry.

operational
defunct✔️
productive
bustling

Correct Answer Logic:

A factory that is only a 'reminder' of past industry is no longer running, matching 'defunct.'

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MCQs Section QUESTION #5064

Question 8115

'پتا پتا بوٹا بوٹا' والا شعر کس کا ہے؟

علامہ اقبال
میر تقی میر✔️
غالب
ان میں سے کوئی نہیں

Correct Answer Logic:

پتا پتا بوٹا بوٹا حال ہمارا جانے ہے، یہ مشہور شعر میر تقی میر کا ہے۔

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English QUESTION #506

Question 8116

PRODIGIOUS

Productive
Enormous✔️
Prudential
Waddle

Correct Answer Logic:

Prodigious means remarkably great in size or degree

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Civil Engineering QUESTION #6570

Question 8117

The type of brick bond predominantly used in Government Sector construction projects in Pakistan is:

Flemish Bond
Double Flemish Bond
English Bond✔️
Fletcher Bond

Correct Answer Logic:

English Bond alternates courses of headers and stretchers and is widely specified in Government projects in Pakistan for its high strength and proven durability.

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Security Measures to Maintain Law and Order QUESTION #883

Question 8118

The "Aviation Security Revolving Fund" (if applicable) is primarily utilized to:

Pay staff bonuses
Upgrade security technology
Maintain law & order equipment
Both 2 and 3✔️

Correct Answer Logic:

Funds are prioritized for the procurement of modern security equipment (scanners, CCTV) necessary to maintain airport order.

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General Knowledge QUESTION #8265

Question 8119

What is the keyboard shortcut to switch between open windows to the next window?

Ctrl + Tab✔️
Shift + Tab
ALT + Ctrl
ALT + Tab (implied but not listed; based on standard answer key)

Correct Answer Logic:

Given options: Ctrl+Tab is correct for switching windows in many applications. (Note: typical is Alt+Tab

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Disaster Management QUESTION #6550

Question 8120

What represents the primary value of integrating indigenous knowledge into risk assessments?

It's free
It provides local context, historical hazard patterns, traditional coping mechanisms, and community-validated understanding of risks✔️
It replaces scientific data
It satisfies stakeholders

Correct Answer Logic:

Section 5.1 emphasizes integrating indigenous knowledge with scientific assessments. Local communities possess generations of observations about hazard patterns, environmental changes, and effective coping strategies that complement but don't replace scientific data.

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