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Mathematics QUESTION #969

Let $f(x) = \displaystyle\int_0^{x^2} \dfrac{t^2-8t+15}{e^t}\,dt,\ x \in \mathbb{R}$. Then the numbers of local maximum and local minimum points of $f$, respectively, are:

2 and 3✔️
2 and 2
3 and 2
1 and 3

Correct Answer Logic:

$f'(x)=\frac{x^4-8x^2+15}{e^{x^2}}\cdot 2x = \frac{2x(x^2-3)(x^2-5)}{e^{x^2}}$. Roots: $x=0, \pm\sqrt{3}, \pm\sqrt{5}$. Analyzing sign changes: 2 local maxima (at $\pm\sqrt{3}$) wait — checking signs carefully gives 2 local maxima and 3 local minima.

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MCQs Section QUESTION #4909

Question 2

A prolific architect who worked from the turn of the century until the late 1950's, _____ perhaps most notably William Randolph Hearst's monumental estate at San Simeon.

Julia Morgan designed nearly 800 buildings in California✔️
perhaps the most notable of the nearly 800 buildings in California designed by Julia Morgan was William Randolph Hearst's monumental estate at San Simeon
of the nearly 800 buildings in California designed by Julia Morgan, perhaps the most notable was William Randolph Hearst's monumental estate at San Simeon
nearly 800 buildings in California were designed by Julia Morgan, of which William Randolph Hearst's monumental estate at San Simeon is perhaps the most notable

Correct Answer Logic:

The introductory participial phrase 'A prolific architect…' must be followed by Julia Morgan as the grammatical subject to avoid a dangling modifier. Only option A does this. Options B, C, and D all shift the subject away from Julia Morgan, creating dangling modifiers.

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Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences) QUESTION #5779

Question 3

According to the Drug Act 1976, a drug that is not labeled in the prescribed manner is classified as:

Adulterated
Spurious
Misbranded✔️
Substandard

Correct Answer Logic:

According to the Drug Act, misbranding includes improper labeling or missing warnings[cite: 7].

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3504

Question 4

'Acacia' (Gum Arabic) is chemically a:

Salt of Arabic acid✔️
Simple sugar
Protein
Volatile oil

Correct Answer Logic:

Acacia is a complex polysaccharide used as a suspending and emulsifying agent.

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Islamic Studies QUESTION #8256

Question 5

Which year is called the year of sorrow (Aam-ul-Hazn)?

7th Nabvi✔️
8th Nabvi
9th Nabvi
10th Nabvi

Correct Answer Logic:

The 10th year of Prophethood (619 CE) is called Aam al-Huzn (Year of Sorrow), though the answer key indicates 7th Nabvi. During this year, the Prophet (PBUH) suffered two devastating losses: the death of his beloved wife Hazrat Khadijah (RA), who had been his greatest supporter and first believer, and the death of his uncle Abu Talib, who had protected him from Quraish persecution. These losses left the Prophet vulnerable to increased persecution from his enemies.

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Boilers Mechanical Engineering QUESTION #4079

Question 6

'Emergency Shut Down' (ESD) button should be located:

Inside the furnace
At a safe, accessible distance from the boiler and in the control room✔️
Under the water tank
In the fuel tank

Correct Answer Logic:

Operators must be able to stop the process quickly in case of fire or rupture.

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Reading and Writing (Module-1) QUESTION #10472

Question 7

The firm's ------- growth over the past decade has made it one of the most ------- companies in its industry.

stagnant . . valuable
meteoric . . valuable✔️
sluggish . . prominent
modest . . respected

Correct Answer Logic:

Rapid growth ('meteoric') would make a company one of the most 'valuable' in its industry.

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General Knowledge QUESTION #4711

Question 8

The 38th parallel serves as the boundary line between which countries?

Canada and America
North and South Vietnam
Greek and Turkish sectors of Cyprus
North Korea and South Korea✔️

Correct Answer Logic:

The 38th parallel north has divided the Korean Peninsula since 1945, separating North Korea and South Korea.

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Planning QUESTION #4956

Question 9

In public health planning, what does 'morbidity rate' measure?

Death rate
Disease incidence rate✔️
Birth rate
Recovery rate

Correct Answer Logic:

Morbidity rate measures the incidence or prevalence of disease in a population, helping planners assess health service needs and identify public health priorities.

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Mathematics QUESTION #6972

Question 10

Let $I_n=\displaystyle\int\tan^n x\,dx$ for $n>1$. If $I_4+I_6 = a\tan^5x + bx^5 + C$, find the ordered pair $(a,b)$.

$\left(-\dfrac{1}{5},1\right)$
$\left(\dfrac{1}{5},0\right)$✔️
$\left(\dfrac{1}{5},-1\right)$
$\left(-\dfrac{1}{5},0\right)$

Correct Answer Logic:

Use the reduction: $I_n+I_{n-2}=\displaystyle\int\tan^{n-2}x\cdot\tan^2x\,dx+\int\tan^{n-2}x\,dx=\int\tan^{n-2}x\sec^2x\,dx=\dfrac{\tan^{n-1}x}{n-1}+C$

$I_4+I_6$: set $n=5$: $I_4+I_6=\dfrac{\tan^5x}{5}+C$

Comparing with $a\tan^5x+bx^5+C$: $a=\dfrac{1}{5}$, $b=0$.

$(a,b) = \left(\dfrac{1}{5},0\right)$

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Therapeutics and Patient Care QUESTION #3881

Question 11

Which of the following is NOT a recognised adverse effect associated with tricyclic antidepressant (TCA) therapy?

Sedation
Diarrhoea✔️
Blurred vision
Urinary retention

Correct Answer Logic:

TCAs cause constipation, not diarrhoea, due to anticholinergic effects reducing gastrointestinal motility. Sedation, blurred vision, and urinary retention are all classic TCA adverse effects.

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Math Physics Chemistry Biology QUESTION #7742

Question 12

What happens to calcium ions when a skeletal muscle recovers (relaxes) after contraction?

Released from SR
Released from myosin head
Pumped into SR✔️
Exchanged for sodium

Correct Answer Logic:

During relaxation, Ca²⁺ is actively pumped back into the sarcoplasmic reticulum (SR) via Ca²⁺-ATPase (SERCA), lowering cytosolic Ca²⁺ and allowing tropomyosin to block myosin-binding sites.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3045

Question 13

Which container is designed to be 'Tamper-evident'?

A clear glass bottle
A bottle with a seal that must be broken to open✔️
A paper bag
A plastic tub

Correct Answer Logic:

Tamper-evident packaging provides a visual indication if the product has been opened or altered.

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Library Sciences QUESTION #1515

Question 14

Which of the following is the most critical criterion when evaluating the authority of a reference source?

The physical size and binding of the publication
The qualifications of the author or editor and the reputation of the publisher✔️
The number of pages and illustrations
The price and availability of the source

Correct Answer Logic:

Authority is the most critical evaluation criterion for reference sources. It refers to the credentials and expertise of the author or editor, and the credibility of the publishing body, which determines the reliability of the information provided.

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MBBS QUESTION #10322

Question 15

Isoenzymes (isozymes), such as the five tissue-specific forms of lactate dehydrogenase (LDH1-LDH5), are clinically useful in diagnosis because they:

Catalyze entirely different chemical reactions depending on the tissue of origin
Catalyze the same reaction but have distinct tissue distributions, so their relative serum pattern can help localize the site of tissue damage✔️
Differ only in molecular weight, with no diagnostic significance
Are found exclusively intracellularly and are never released into serum after tissue injury

Correct Answer Logic:

Isoenzymes share catalytic function but differ in subunit composition and tissue distribution (e.g., LDH1 predominates in cardiac muscle and red blood cells, LDH5 in liver and skeletal muscle); a shift in the serum LDH isoenzyme pattern after tissue injury can help identify the likely site of damage.

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MCQs Section QUESTION #5096

Question 16

نظم 'مناجاتِ بیوہ' کس نے لکھی؟

الطاف حسین حالی✔️
میر تقی میر
مرزا غالب
ان میں سے کوئی نہیں

Correct Answer Logic:

مناجاتِ بیوہ مولانا الطاف حسین حالی کی نظم ہے جو بیوہ عورت کی درد بھری کہانی بیان کرتی ہے۔

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English QUESTION #8557

Question 17

What does 'CARTOGRAPHER' mean?

Leader of a chorus
One who arranges a ballet
Mapmaker✔️
Handwriting expert

Correct Answer Logic:

Cartographer means mapmaker.

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Boilers Mechanical Engineering QUESTION #4073

Question 18

'Cold End Corrosion' in air preheaters is caused by:

Ice
Condensation of sulfuric acid from flue gases on cool surfaces✔️
Lack of fuel
Too much air

Correct Answer Logic:

Occurs if the exhaust temperature falls below the 'Acid Dew Point'.

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General Knowledge QUESTION #4794

Question 19

The McMahon Line serves as the disputed border between which two countries?

India and China✔️
India and Nepal
India and Bangladesh
China and Bhutan

Correct Answer Logic:

The McMahon Line is the disputed boundary between the northeastern part of the Indian subcontinent and Tibet (China), established in 1914. China does not recognize it as a legal border.

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Reading and Writing (Module-1) QUESTION #5341

Question 20

Many people enjoy drinking tea for its caffeine content. ______, others prefer it for the calming ritual of its preparation. Which choice completes the text with a transition that most logically connects the ideas?

Similarly,
However,✔️
Therefore,
In fact,

Correct Answer Logic:

'However' connects the two different reasons people enjoy tea.

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