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Mathematics QUESTION #1295

The area of the region enclosed between $y=x^2$ and $y=x+6$ is:

20$\dfrac{1}{6}$
14$\dfrac{2}{3}$
$\dfrac{125}{6}$✔️
18

Correct Answer Logic:

Intersections: $x^2=x+6\Rightarrow x^2-x-6=0\Rightarrow(x-3)(x+2)=0$, so $x=-2,3$. Area $=\int_{-2}^{3}(x+6-x^2)\,dx=\left[\dfrac{x^2}{2}+6x-\dfrac{x^3}{3}\right]_{-2}^{3}=\left(\dfrac{9}{2}+18-9\right)-\left(2-12+\dfrac{8}{3}\right)=\dfrac{27}{2}+\dfrac{34}{3}=\dfrac{81+68}{6}=\dfrac{125}{6}$.

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Pakistan Affairs QUESTION #9098

Question 2

When was the state of Swat formally included into Pakistan?

4th April 1969✔️
28th July 1969
29th June 1970
None of these

Correct Answer Logic:

Swat was incorporated into Pakistan on April 4, 1969.

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English QUESTION #8465

Question 3

See that you _______ for the meeting in time.

will come
come✔️
would come
came

Correct Answer Logic:

Present subjunctive or imperative 'come' is used after 'see that you'.

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Psychology QUESTION #9720

Question 4

The endocrine gland located in the brain that regulates circadian rhythms by secreting melatonin in response to darkness is:

Hypothalamus
Pituitary gland
Pineal gland✔️
Adrenal gland

Correct Answer Logic:

The pineal gland, located deep in the brain, secretes melatonin in response to darkness, helping regulate the body's circadian rhythm (sleep-wake cycle). Light suppresses melatonin production. Disruption of the pineal gland's function is associated with sleep disorders. The pituitary gland, by contrast, is the 'master gland' controlling other endocrine glands.

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Accounting & Finance QUESTION #6118

Question 5

Financial data: Profit from operations $125,000; Profit for year $116,000; Shareholders' equity $423,000; Long-term loan $80,000; Current liabilities $45,000. What is the ROCE?

21.17%
22.81%
23.06%
24.85%✔️

Correct Answer Logic:

Option D (24.85%) is correct.

ROCE = Profit from operations ÷ Capital Employed × 100

Capital Employed = Shareholders' equity + Non-current liabilities = $423,000 + $80,000 = $503,000

(Current liabilities are excluded from capital employed.)

ROCE = $125,000 ÷ $503,000 × 100 = 24.85%

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Maths QUESTION #7989

Question 6

If $xy = 2$ and $xy^2 = 8$, what is the value of $x$?

0.5✔️
2.5
4
8

Correct Answer Logic:

From $xy = 2$: $x = \dfrac{2}{y}$
Substituting into $xy^2 = 8$: $\dfrac{2}{y} \times y^2 = 8 \Rightarrow 2y = 8 \Rightarrow y = 4$
Then $x = \dfrac{2}{4} = 0.5$

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3253

Question 7

Which electrolyte is most critical for maintaining the 'Electrical Rhythm' of the heart?

Sodium
Potassium✔️
Iron
Chloride

Correct Answer Logic:

Imbalances in Potassium ($K^+$) can lead to fatal arrhythmias.

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Chemistry QUESTION #7801

Question 8

Homolytic fission of the C–H bond in an alkane produces:

Alkyl free radical✔️
Carbonation
Carbocation
Methylpropane

Correct Answer Logic:

Homolytic bond cleavage: each atom takes one electron, forming free radicals (e.g., methyl radical •CH₃). Heterolytic fission gives carbocations or carbanions.

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Physics and Math QUESTION #768

Question 9

The solution of $1 + \cos x = 0$ is:

$\pi + 2k\pi,\ k \in \mathbb{Z}$✔️
$\pi - 2k\pi$
$2k\pi$
None

Correct Answer Logic:

$1 + \cos x = 0 \Rightarrow \cos x = -1 \Rightarrow x = \pi + 2k\pi,\ k \in \mathbb{Z}$.

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English Literature QUESTION #701

Question 10

The term "Stream of Consciousness" was coined by:

Virginia Woolf
William James✔️
James Joyce
None of these

Correct Answer Logic:

The psychologist William James first used the term to describe the continuous flow of thoughts in the human mind.

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Civil Engineering QUESTION #6594

Question 11

A joint provided within the length of a column to connect two column segments is specifically called a:

Shear joint
Load-bearing joint
Column splice✔️
Compression joint

Correct Answer Logic:

A column splice is a structural connection used to join two lengths of a column. It must transmit axial compression, bending, and shear, and is designed per relevant steel design codes (e.g. AISC).

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Math Physics Chemistry Biology QUESTION #7739

Question 12

Which disease is primarily transmitted through sexual contact?

Gonorrhoea✔️
Influenza
Tuberculosis
Typhoid

Correct Answer Logic:

Gonorrhoea (caused by Neisseria gonorrhoeae) is a sexually transmitted infection (STI). Influenza (respiratory), TB (airborne), typhoid (fecal-oral) are not typically STIs.

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General Knowledge QUESTION #8667

Question 13

Which acid is commonly used in lead-acid car batteries?

NaCl (Sodium chloride)
HCl (Hydrochloric acid)
HNO3 (Nitric acid)
H2SO4 (Sulfuric acid)✔️

Correct Answer Logic:

Sulfuric acid (H2SO4) is used in batteries.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2986

Question 14

Using Fried's Rule, calculate the dose for a $20$-month-old infant if the adult dose is $300\text{ mg}$.

$20\text{ mg}$
$40\text{ mg}$✔️
$50\text{ mg}$
$60\text{ mg}$

Correct Answer Logic:

Fried's Rule: $(\text{Age in months} / 150) \times \text{Adult Dose}$. $(20/150) \times 300 = 40\text{ mg}$.

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General Knowledge QUESTION #11584

Question 15

Which computer storage component has no moving parts and uses flash memory?

Hard Disk Drive (HDD)
Solid State Drive (SSD)✔️
Floppy Disk
Optical Disc

Correct Answer Logic:

A Solid State Drive (SSD) uses NAND flash memory with no moving mechanical parts. SSDs are significantly faster (read/write speeds up to 7,000+ MB/s for NVMe SSDs), more durable, lighter, and quieter than traditional HDDs. They have become the standard storage device in modern laptops and desktops.

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General Knowledge QUESTION #8945

Question 16

Which Nobel Prize category was NOT established by Alfred Nobel?

Peace
Literature
Economics✔️
Medicine

Correct Answer Logic:

The Economics Prize was added later.

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Verbal Reasoning QUESTION #8160

Question 17

A random variable $Y$ follows a normal distribution with mean $200$ and standard deviation $10$. Compare:

Quantity A: The probability that $Y > 220$

Quantity B: $\dfrac{1}{6}$

Quantity A is greater
Quantity B is greater✔️
The two quantities are equal
The relationship cannot be determined from the information given

Correct Answer Logic:

The value $220$ is $\dfrac{220 - 200}{10} = 2$ standard deviations above the mean.

For a standard normal distribution, the probability that $Z > 2$ is approximately $0.0228$ (about $2.28\%$).

Quantity B $= \dfrac{1}{6} \approx 0.1667$.

Since $0.0228 < 0.1667$, Quantity A is less than Quantity B.

Therefore Quantity B is greater.

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Islamic Studies QUESTION #7898

Question 18

What is the alternative of Wuzu when water is not available before saying a prayer?

Ghusal
Washing of face
Tayammum✔️
None of these

Correct Answer Logic:

Tayammum is the Islamic act of dry ablution using clean earth or dust when water is not available or cannot be used due to illness. It involves striking the palms on clean earth and wiping the face and hands. This concession demonstrates Islam's practicality and consideration for difficult circumstances.

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Math Physics Chemistry Biology QUESTION #11434

Question 19

Which one of the following is an example of social insect?

Grasshopper
Honeybee✔️
Louse
Cockroach

Correct Answer Logic:

Honeybees are eusocial insects living in highly organized colonies with: reproductive division of labor (queen, workers, drones), cooperative brood care, and overlapping generations. They are among the most studied social insects. Grasshoppers, lice, and cockroaches are solitary insects that do not form organized cooperative societies.

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English QUESTION #8502

Question 20

The antonym of 'Inert' is:

Active✔️
Prudent
Sluggish
Insist

Correct Answer Logic:

Inert means inactive; opposite is active.

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