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Civil Procedure QUESTION #3716

A high-end electronics store mistakenly advertises a $\text{\$2,000}$ TV for $\text{\$200}$ on its website. A customer buys 10 of them. The store realizes the error and cancels the order. The customer sues. Is the store bound by the $\text{\$200}$ price?

Yes, an advertisement is always a binding offer.
No, because an advertisement is generally an invitation to deal, not an offer.✔️
Yes, because the customer accepted the offer by clicking 'buy.'
No, because of the doctrine of mutual mistake.

Correct Answer Logic:

Generally, advertisements are invitations for offers, not offers themselves. Even if treated as an offer, a 'unilateral mistake' where the other party knew or should have known of the error (buying 10 for 10% of the value) allows for rescission.

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English QUESTION #8570

Question 462

What does the idiom 'to fish in troubled waters' mean?

catch fish in flood waters
to dive in deep waters
to go for a daunting task
to make personal profit from a disturbance✔️

Correct Answer Logic:

'Fish in troubled waters' means to exploit a disturbed situation for personal gain.

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General Abilities QUESTION #4600

Question 463

Simplify: $6x - 2x + 3y - y$

$4x + 2y$✔️
$8x + 4y$
$4x + 3y$
$8xy$

Correct Answer Logic:

Combine like terms: $(6-2)x + (3-1)y = 4x + 2y$

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Mathematics QUESTION #7432

Question 464

Two poles standing on horizontal ground are of heights 5 m and 10 m respectively. The line joining their tops makes an angle of 15° with the ground. Then the distance (in m) between the poles is:

$5(2+\sqrt{3})$✔️
$5(\sqrt{3}+1)$
$\frac{5}{2}(2+\sqrt{3})$
$10(\sqrt{3}-1)$

Correct Answer Logic:

Let the distance between poles be $d$. The height difference is $10-5=5$ m. Using trigonometry: $\tan(15°) = \frac{5}{d}$. We know $\tan(15°) = 2-\sqrt{3}$ (from $\tan(45°-30°)$ formula). Therefore, $d = \frac{5}{2-\sqrt{3}} = \frac{5(2+\sqrt{3})}{(2-\sqrt{3})(2+\sqrt{3})} = \frac{5(2+\sqrt{3})}{4-3} = 5(2+\sqrt{3})$.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2992

Question 465

What is the concentration of Sucrose in 'Simple Syrup BP'?

$66.7\%\text{ w/w}$✔️
$85\%\text{ w/v}$
$50\%\text{ w/w}$
$60\%\text{ w/v}$

Correct Answer Logic:

Syrup BP contains $66.7\%\text{ w/w}$ sucrose, whereas USP contains $85\%\text{ w/v}$.

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Mathematics QUESTION #974

Question 466

Suppose that the number of terms in an A.P. is $2k,\ k\in\mathbb{N}$. If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term exceeds the first term by 27, then $k$ is equal to:

6
5✔️
8
4

Correct Answer Logic:

Let first term $=a$, common difference $=d$, number of terms $=2k$. Sum of odd-positioned terms $=k\left(a+\frac{(2k-1)d}{2}\cdot\text{...}\right)=40$, even terms $=55$. Difference: $kd=15$. Last $-$ first $=(2k-1)d=27$. From $kd=15$ and $(2k-1)d=27$: dividing gives $2k-1=\frac{27k}{15} \Rightarrow k=5$.

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Disaster Management QUESTION #6513

Question 467

According to the Sendai Framework priorities, which approach represents the most comprehensive strategy for understanding disaster risk in Pakistan's context?

Conducting isolated hazard assessments for each province
Integrating multi-hazard risk assessments with socio-economic vulnerability data and indigenous knowledge✔️
Focusing exclusively on meteorological data collection
Relying solely on historical disaster records

Correct Answer Logic:

The strategy emphasizes multi-hazard risk assessments integrated with socio-economic data, indigenous knowledge, and advanced technologies like GIS and AI. This comprehensive approach (mentioned in Section 5.1) ensures evidence-based decision-making that considers both scientific data and local contexts.

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Urdu QUESTION #5244

Question 468

آسمان پر اڑنا سے کیا مراد ہے؟

غرور کرنا✔️
گالیاں دینا
ٹالنا
غرور کا سر نیچا

Correct Answer Logic:

آسمان پر اڑنا محاورے کا مطلب ہے انتہائی مغرور ہونا یا تکبر کرنا۔

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2975

Question 469

Industrial Pharmacy is mainly concerned with:

Hospital drug distribution
Mass production of dosage forms✔️
Retail selling of medicines
Direct patient counseling

Correct Answer Logic:

Industrial pharmacy involves the design, development, and large-scale manufacturing of pharmaceutical products.

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Chemistry QUESTION #7804

Question 470

The pK_b of n-propylamine is approximately:

3.24
3.28✔️
3.32
3.35

Correct Answer Logic:

n-Propylamine is a weak base with K_b ~5×10⁻⁴, pK_b = -log(5×10⁻⁴) ≈ 3.30. Closest is 3.32? Actually standard value ~3.32. But MDCAT often uses 3.28 or 3.32. Given options, 3.32 is common.

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Pakistan Affairs QUESTION #9067

Question 471

Which is the largest barrage in Pakistan?

Taunsa Barrage
Kotri Barrage
Guddu Barrage✔️
Sukkur Barrage

Correct Answer Logic:

Guddu Barrage is the largest.

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Political Science QUESTION #6685

Question 472

Which institution is responsible for interpreting the Constitution in Pakistan?

Parliament
Supreme Court✔️
President
None of these

Correct Answer Logic:

The Supreme Court of Pakistan is the final arbiter and interpreter of the Constitution.

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Math Physics Chemistry Biology QUESTION #4201

Question 473

The digestive secretions from different parts of GIT have the ability to kill microbe present in the food. Which of the following best describe this role?

Antiseptics
Disinfectants✔️
Chemotherapeutics
Immunosuppressant

Correct Answer Logic:

Digestive secretions act as disinfectants by killing microbes in the digestive tract.

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Civil Procedure QUESTION #3749

Question 474

The 'Full Faith and Credit' Clause of the Constitution requires that:

Congress must pay all national debts.
States must respect the public acts, records, and judicial proceedings of every other state.✔️
The President must believe in the Supreme Court.
Citizens must pay their taxes to the federal government before state governments.

Correct Answer Logic:

Article IV, Section 1 ensures that a judgment or record from one state is recognized and enforceable in others.

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Physics QUESTION #7085

Question 475

A wire stretches by $0.04\text{ m}$ under force $F$. What is the elongation if length and diameter are doubled under the same force?

$0.01\text{ m}$
$0.02\text{ m}$✔️
$0.04\text{ m}$
$0.08\text{ m}$

Correct Answer Logic:

Elongation $\Delta L = \frac{FL}{AY} = \frac{FL}{\pi(d/2)^2 Y} \propto \frac{L}{d^2}$.

New elongation $\Delta L' \propto \frac{2L}{(2d)^2} = \frac{2L}{4d^2} = \frac{1}{2} \Delta L$
$\Delta L' = \frac{1}{2} \times 0.04 = 0.02\text{ m}$.

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General Knowledge QUESTION #8972

Question 476

An extremely small piece of silicon on which integrated circuits are placed is called:

Feed
Hotterith Code
Chip✔️
Card reader

Correct Answer Logic:

A microchip is a small silicon device.

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Physics QUESTION #7832

Question 477

Capacitance increases with decrease in:

Dielectric constant
Plate area
Permittivity
Plate separation✔️

Correct Answer Logic:

C ∝ 1/d, so decreasing d increases C.

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Chemistry QUESTION #7154

Question 478

Which of the following compounds does not yield nitrogen gas ($N_{2}$) upon thermal decomposition?

$NH_{4}NO_{2}$
$(NH_{4})_{2}SO_{4}$✔️
$Ba(N_{3})_{2}$
$(NH_{4})_{2}Cr_{2}O_{7}$

Correct Answer Logic:

Thermal decomposition results:

$NH_{4}NO_{2} \xrightarrow{\Delta} N_{2} + 2H_{2}O$
$Ba(N_{3})_{2} \xrightarrow{\Delta} Ba + 3N_{2}$
$(NH_{4})_{2}Cr_{2}O_{7} \xrightarrow{\Delta} N_{2} + Cr_{2}O_{3} + 4H_{2}O$
$(NH_{4})_{2}SO_{4}$ decomposes to release $NH_{3}$ (Ammonia) gas, not $N_{2}$.

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Mathematics QUESTION #1268

Question 479

The graph of $r = 2\cos\theta$ in Cartesian coordinates is:

A parabola
A circle of radius 2 centred at origin
A circle of radius 1 centred at $(1,0)$✔️
A line through the origin

Correct Answer Logic:

Multiply both sides by $r$: $r^2=2r\cos\theta\Rightarrow x^2+y^2=2x\Rightarrow (x-1)^2+y^2=1$. This is a circle of radius $1$ centred at $(1,0)$.

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Nursing QUESTION #9207

Question 480

A researcher reports a confidence interval of $95\% \text{ CI}: [2.1, 8.7]$ for a mean difference in pain scores. What is the correct interpretation?

There is a 95% probability that the true mean falls within this range
If the study were repeated 100 times, approximately 95 of the resulting CIs would contain the true population mean✔️
The sample mean has a 95% chance of being between 2.1 and 8.7
There is a 5% chance that the results are due to chance alone

Correct Answer Logic:

Correct Answer: B

The frequentist interpretation of a 95% confidence interval is:
'If this study were repeated many times, 95% of the constructed confidence intervals would contain the true population parameter.'

Common misconceptions to avoid:

❌ It is NOT correct to say 'there is a 95% probability the true mean lies in this interval' — the true mean is fixed, not probabilistic
❌ It does NOT mean 95% of individual values fall within the range

Clinical significance of this CI: Since the entire interval $[2.1, 8.7]$ is above zero, this suggests the difference is statistically significant at $\alpha = 0.05$. If the CI had included zero, the result would be non-significant.

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