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Mathematics QUESTION #4102

The order of element $4$ in the cyclic group $\mathbb{Z}_{18}$ is:

$9$✔️
$4$
$6$
$18$

Correct Answer Logic:

The order of element $k$ in $\mathbb{Z}_n$ is $\dfrac{n}{\gcd(k,n)}$. Here: $\dfrac{18}{\gcd(4,18)}=\dfrac{18}{2}=9$. So element $4$ has order $9$ in $\mathbb{Z}_{18}$.

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General Knowledge QUESTION #8893

Question 2

Which component of diet helps prevent constipation?

Minerals
Fiber (roughage)✔️
Protein
Vitamins

Correct Answer Logic:

Dietary fiber promotes regular bowel movements.

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Mathematics QUESTION #6961

Question 3

If $\cos^{-1}\!\left(\dfrac{2}{3x}\right)+\cos^{-1}\!\left(\dfrac{3}{4x}\right)=\dfrac{\pi}{2}$ for $x>\dfrac{3}{4}$, find $x$.

$\dfrac{\sqrt{145}}{12}$✔️
$\dfrac{\sqrt{145}}{10}$
$\dfrac{\sqrt{146}}{12}$
$\dfrac{\sqrt{145}}{11}$

Correct Answer Logic:

$\cos^{-1}A+\cos^{-1}B=\pi/2 \Rightarrow \cos^{-1}A=\pi/2-\cos^{-1}B=\sin^{-1}B$, i.e., $A=\sin(\cos^{-1}B)=\sqrt{1-B^2}$.

$\dfrac{2}{3x}=\sqrt{1-\dfrac{9}{16x^2}}$

Square: $\dfrac{4}{9x^2}=1-\dfrac{9}{16x^2}$

Multiply by $144x^2$: $64=144x^2-81 \Rightarrow 144x^2=145 \Rightarrow x=\dfrac{\sqrt{145}}{12}$

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Islamic Studies QUESTION #8252

Question 4

Which Surah was recited by the Holy Prophet (PBUH) at the time of Hijrah?

Surah Rehman
Surah Yaseen✔️
Surah Ikhlas
Surah Fateha

Correct Answer Logic:

This is a repeat of question 166. When the Prophet (PBUH) left his home during Hijrah while Quraish surrounded his house intending to kill him, he recited the beginning verses of Surah Yaseen (36:9): 'And We have put before them a barrier and behind them a barrier and covered them, so they do not see.' As he recited these verses and threw dust toward them, Allah blinded them, and he passed through safely. Hazrat Ali (RA) slept in the Prophet's bed that night as a decoy.

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Mathematics QUESTION #4166

Question 5

Using Trapezoidal rule with 5 points (4 subintervals) for $\int_1^3 \frac{1}{x^2} dx$, what is $h$?

$0.25$
$0.5$✔️
$0.75$
$1$

Correct Answer Logic:

5 points means 4 subintervals. $h = \frac{3-1}{4} = \frac{2}{4} = 0.5$.

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General Abilities QUESTION #2898

Question 6

Find the amount if $\$800$ is invested at $6\%$ simple interest for $2$ years.

$\$896$✔️
$\$900$
$\$848$
$\$912$

Correct Answer Logic:

Interest $= (800 \times 6 \times 2)/100 = 96$. Amount $= 800 + 96 = 896$.

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Agronomy QUESTION #2090

Question 7

In organic farming systems, nitrogen fertility is maintained through which suite of mechanisms that must substitute for synthetic N fertilizers?

Urea application at reduced rates combined with biological control
Biological nitrogen fixation (legumes in rotation/intercropping), composted organic matter inputs, green manuring, crop residue recycling, and managed livestock integration — collectively building soil organic N pools and stimulating mineralization✔️
Exclusive use of rock phosphate and potassium sulfate
Deep tillage to expose and mineralize subsoil organic nitrogen reserves

Correct Answer Logic:

Certified organic systems prohibit synthetic N fertilizers. N supply relies on: (1) BNF through legume rotation (60–200 kg N/ha/yr), (2) compost and FYM application, (3) green manuring with leguminous cover crops, (4) crop residue decomposition, and (5) enhanced soil biological activity mineralizing organic N. The challenge is synchronizing N mineralization with crop demand — organic N release is weather and microbially dependent.

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General Knowledge QUESTION #4793

Question 8

Gymnophobia refers to the fear of which of the following?

Nudity✔️
Gyms
Hotels
Heights

Correct Answer Logic:

Gymnophobia is the specific phobia of nudity — the fear of seeing others naked or being seen naked oneself.

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Urdu QUESTION #5272

Question 9

علامہ اقبال کی پہلی نظم کون سی ہے؟

ہمالہ✔️
دعا
طلوع
خضرِ راہ

Correct Answer Logic:

علامہ اقبال کی پہلی نظم 'ہمالہ' ہے جو 1901ء میں لکھی گئی۔

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3312

Question 10

The 'Inoculation Loop' is sterilized using which method before and after use?

Autoclaving
Red Heat (Flaming)✔️
Chemical disinfection
Filtration

Correct Answer Logic:

Heating the wire until it glows red ensures the destruction of all microbes.

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Accounting & Finance QUESTION #6115

Question 11

How is any premium on the issue of shares treated in the financial statements of a limited company?

Added to a capital reserve✔️
Added to a revenue reserve
Deducted from a capital reserve
Deducted from a revenue reserve

Correct Answer Logic:

Option A is correct.

Share premium is the excess above nominal value when shares are issued. It is recorded in the Share Premium Account, which is a capital reserve — it cannot be distributed as dividends.

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Boilers Mechanical Engineering QUESTION #3992

Question 12

The 'Bourdon Tube' is the most common component found in a:

Water Level Gauge
Pressure Gauge✔️
Steam Trap
Blow-off Cock

Correct Answer Logic:

The tube straightens under pressure, moving the needle on the gauge dial.

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Boilers Mechanical Engineering QUESTION #4061

Question 13

If the 'Check Valve' sticks open, the operator will notice:

Water level rising very fast
Water level dropping and steam flowing back into the feed line✔️
The fuel tank emptying
The pressure gauge stopping

Correct Answer Logic:

This is a serious condition as the boiler could lose water back to the pump.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3159

Question 14

Inflammation of the membranes covering the brain is called:

Encephalitis
Meningitis✔️
Neuritis
Hepatitis

Correct Answer Logic:

Meningitis can be bacterial or viral and is a medical emergency.

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Dairy Food Science and Technology QUESTION #5889

Question 15

Starter culture failure in yoghurt production resulting in high pH and no coagulation is MOST likely caused by:

Excessive inoculation rate
Antibiotic residues in milk inhibiting LAB growth✔️
Use of skim milk powder
Over-pasteurization of milk

Correct Answer Logic:

Antibiotic residues (penicillin, tetracyclines) from treated cows inhibit lactic acid bacteria (LAB) at very low concentrations. Even sub-MIC levels cause slow acidification, which is a major cause of starter failure. Milk must be tested for antibiotics before fermentation.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3143

Question 16

The 'Epididymis' is the site where sperm:

Are produced
Mature and are stored✔️
Are mixed with alkaline fluid
Are destroyed

Correct Answer Logic:

Sperm spend about $20$ days in the epididymis to gain motility.

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Home Economics QUESTION #6265

Question 17

In therapeutic nutrition, the 'DASH' diet is specifically designed to manage which condition?

Type 1 Diabetes
Hypertension✔️
Phenylketonuria (PKU)
Celiac Disease

Correct Answer Logic:

DASH stands for Dietary Approaches to Stop Hypertension, focusing on reducing sodium and increasing potassium, calcium, and magnesium.

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Therapeutics and Patient Care QUESTION #3886

Question 18

Which of the following agents should NOT be used as a topical treatment for acne vulgaris?

Salicylic acid
Sulfur
Hydrocortisone✔️
Benzoyl peroxide

Correct Answer Logic:

Topical hydrocortisone is not indicated for acne vulgaris and may worsen acne by promoting follicular occlusion and steroid-induced acne. Salicylic acid, sulfur, and benzoyl peroxide are established acne treatments.

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Math Physics Chemistry Biology QUESTION #4328

Question 19

Which statement best compares cell division in prokaryotic and eukaryotic cells?

Eukaryotes divide by budding; prokaryotes by mitosis
Eukaryotes use binary fission; prokaryotes by meiosis
Eukaryotes divide by mitosis; prokaryotes by binary fission✔️
Both use mitosis

Correct Answer Logic:

Prokaryotes divide by binary fission, a simpler process without a spindle. Eukaryotes undergo mitosis (somatic cells) or meiosis (sex cells), involving a spindle apparatus and nuclear envelope.

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Civil Engineering QUESTION #6654

Question 20

In a cantilever beam, the main tension reinforcement should be placed:

At the bottom of the beam
At the top of the beam✔️
In the middle of the beam
Only as stirrups

Correct Answer Logic:

Cantilever beams experience 'negative' moment, meaning the top fibers are in tension and the bottom fibers are in compression.

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