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Dairy Food Science and Technology QUESTION #5990

Fortification of milk with Vitamins A and D is most important for which type of milk?

Whole milk
Skim and low-fat milk, because fat-soluble vitamins A and D are removed with the fat during separation✔️
Flavored milk
UHT milk

Correct Answer Logic:

Fat-soluble vitamins A and D are naturally associated with the fat phase of milk. When fat is removed during skimming, these vitamins are also substantially removed. US FDA requires reduced-fat milks to be fortified with Vitamin A at $\geq 2000\;\text{IU/quart}$ and Vitamin D at $\geq 400\;\text{IU/quart}$.

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Mathematics QUESTION #4095

Question 2

For $f(x,y)=xy-2x$ on the triangular region with vertices $(0,0),(4,0),(0,4)$, evaluating on the edge from $(0,4)$ to $(4,0)$ (line $x+y=4$, i.e., $y=4-x$), $f$ becomes a function of $x$ only as:

\$f = x(4-x)-2x = -x^2+2x\$✔️
$f = 4x-x^2$
$f = x(4-x)-2x = -x^2+2x$
\$f = 4x-2x = 2x\$

Correct Answer Logic:

Substitute $y=4-x$ into $f=xy-2x$: $f=x(4-x)-2x=4x-x^2-2x=-x^2+2x$. Maximizing: $f'=-2x+2=0\Rightarrow x=1$, giving $f(1,3)=-1+2=1$. This is a candidate for absolute extremum.

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Geography QUESTION #1248

Question 3

Fossils are never found in:

Shale
Granite✔️
Sandstone
None of these

Correct Answer Logic:

Fossils are only found in sedimentary rocks (such as shale, sandstone, limestone) because they form from the gradual burial and compression of organic remains in sediments. Granite is an igneous rock formed from the cooling of magma at high temperatures and pressures — any organic material would be destroyed under such conditions. Therefore fossils are never found in granite or other igneous/metamorphic rocks.

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Civil / Architecture QUESTION #2365

Question 4

In the design of steel plate girders, the proportioning of the web panel to prevent shear buckling without tension field action requires the shear buckling coefficient $k_v$. For an unstiffened web with $a/h \to \infty$ (no transverse stiffeners), the value of $k_v$ used in calculating the critical shear stress is:

4.0
5.34✔️
6.34
2.0

Correct Answer Logic:

For a web plate with no transverse stiffeners (pure shear panel, $a/h \to \infty$), the shear buckling coefficient is $k_v = 5.34$. When transverse stiffeners are present with aspect ratio $a/h \leq 1$: $k_v = 4.0 + \dfrac{5.34}{(a/h)^2}$. The critical shear stress is $F_{cr} = \dfrac{k_v \pi^2 E}{12(1-\nu^2)(h/t_w)^2}$. AISC uses $k_v = 5.34$ as the baseline for unstiffened webs.

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Maths QUESTION #4589

Question 5

Two numbers are in ratio $7:9$. If their sum is $64$, what is the larger number?

$28$
$36$✔️
$32$
$56$

Correct Answer Logic:

Total parts = $7+9=16$. Larger = $\frac{9}{16} \times 64 = 36$

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Chemistry QUESTION #7116

Question 6

A $5.1\text{ g}$ sample of $NH_{4}SH$ is placed in a $3.0\text{ L}$ evacuated flask at $327^{\circ}C$. If $30\%$ of the solid decomposes into $NH_{3}(g)$ and $H_{2}S(g)$, find the $K_p$ for this reaction. ($R = 0.082\text{ L atm mol}^{-1}\text{ K}^{-1}$)

$0.242 \times 10^{-4} \text{ atm}^2$
$1 \times 10^{-4} \text{ atm}^2$
$4.9 \times 10^{-3} \text{ atm}^2$
$0.242 \text{ atm}^2$✔️

Correct Answer Logic:

Molar mass of $NH_4SH = 51\text{ g/mol}$. Initial moles $= 5.1/51 = 0.1\text{ mol}$.
At equilibrium, moles of $NH_3 = H_2S = 0.1 \times 0.3 = 0.03\text{ mol}$.
Using $PV = nRT$: $P_{NH_3} = P_{H_2S} = \frac{0.03 \times 0.082 \times 600}{3} = 0.492\text{ atm}$.
$K_p = P_{NH_3} \times P_{H_2S} = (0.492)^2 \approx 0.242\text{ atm}^2$.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2555

Question 7

Under section 16(1) of the Punjab Sales Tax on Services Act, 2012, a registered person entitled to claim input tax adjustment must hold a valid tax invoice not older than how many tax periods?

Three tax periods
Six tax periods✔️
Eight tax periods
Twelve tax periods

Correct Answer Logic:

Section 16(1) explicitly states that the registered person must hold a true and valid tax invoice not older than six tax periods showing the amount of tax charged under the Act on the services received.

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

Question 8

'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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English QUESTION #2763

Question 9

Find the word SIMILAR IN MEANING to 'Diligent'.

Lazy
Careless
Hardworking✔️
Idle

Correct Answer Logic:

'Diligent' means showing steady and careful effort in work. 'Hardworking' has the same meaning. 'Lazy', 'Careless', and 'Idle' are opposite in meaning.

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MCQs Section QUESTION #5257

Question 10

بانگِ درا کتنے ادوار پر مشتمل ہے؟

ایک
دو
تین✔️
ان میں سے کوئی نہیں

Correct Answer Logic:

بانگِ درا تین ادوار پر مشتمل ہے: پہلا دور (بچپن)، دوسرا دور (جوانی) اور تیسرا دور (پختگی) (آپشن 2 پر تین ہے)۔

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3451

Question 11

'Hormones' are generally transported in the body via:

Nerves
Bloodstream✔️
Lungs
Digestive tract

Correct Answer Logic:

They travel to distant target organs to exert their effects.

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Nursing QUESTION #9252

Question 12

A patient with severe traumatic brain injury (TBI) is admitted to ICU. The nurse notes Cushing's Triad. Which set of signs is Cushing's Triad and what does it indicate?

Hypotension, tachycardia, and tachypnea — indicating neurogenic shock
Hypertension, bradycardia, and irregular respirations — indicating severely raised ICP✔️
Hypotension, bradycardia, and hypothermia — indicating neurogenic shock
Fever, hypertension, and diaphoresis — indicating autonomic dysreflexia

Correct Answer Logic:

Correct Answer: B — Cushing's Triad

Cushing's Triad is a late and ominous sign of severely raised intracranial pressure and impending brain herniation:

Hypertension (widened pulse pressure) — body attempts to perfuse brain against rising ICP
Bradycardia — reflex response (baroreceptor) to hypertension
Irregular respirations — Cheyne-Stokes or ataxic breathing due to brainstem compression

This is a medical emergency. The nurse must:

Immediately notify the neurosurgeon and intensivist
Elevate HOB to $30°$
Administer Mannitol $0.25 - 1 \text{ g/kg}$ IV or 3% NaCl
Prepare for emergency ICP monitoring or surgical decompression
Avoid hypotension (maintain CPP $\geq 60 \text{ mmHg}$)
Avoid hyperthermia and hypoxia

Cushing's Triad represents the last compensatory mechanism before brain herniation — survival depends on seconds-to-minutes intervention.

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Pakistan Affairs QUESTION #9067

Question 13

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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General Knowledge QUESTION #4484

Question 14

An economic model to eliminate waste and reuse resources is called:

Rational consumption
Mercantilism
Circular economy✔️
None of these

Correct Answer Logic:

Circular economy focuses on reuse, recycling, and sustainability.

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Civil Procedure QUESTION #3689

Question 15

A plaintiff (State A) sues a defendant (State B) for $\text{\$80,000}$ in federal court. The defendant impleads a third-party (State A) for indemnity under Rule 14. The plaintiff then amends the complaint to assert a $\text{\$50,000}$ claim directly against the third-party defendant. Does the court have jurisdiction over the plaintiff's new claim?

Yes, under supplemental jurisdiction because it arises from the same nucleus of fact.
No, because 28 U.S.C. $\S 1367(b)$ bars supplemental jurisdiction for claims by plaintiffs against persons made parties under Rule 14 in diversity cases.✔️
Yes, because the total amount in controversy is now $\text{\$130,000}$.
No, because the claim against the third-party is for less than $\text{\$75,000}$.

Correct Answer Logic:

In cases founded solely on diversity, 28 U.S.C. $\S 1367(b)$ excludes supplemental jurisdiction over claims by plaintiffs against persons made parties under Rule 14 (impleader) if it would be inconsistent with the requirements of diversity jurisdiction (complete diversity).

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General Ability and Fire Fighting QUESTION #5596

Question 16

Which fire class involves live electrical equipment?

Class A
Class C✔️
Class D
Class K

Correct Answer Logic:

Class C fires involve live electrical equipment. CO2 and dry chemical extinguishers are used because they are non-conductive and will not cause electric shock.

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General Knowledge QUESTION #4739

Question 17

The Nobel Peace Prize for 2006 was awarded to which person?

Dr. Mahathir Mohammad
Dr. Muhammad Yunus✔️
Dr. Abdul Kalam
Dr. Mohamed ElBaradei

Correct Answer Logic:

Dr. Muhammad Yunus of Bangladesh, along with the Grameen Bank he founded, was awarded the 2006 Nobel Peace Prize for their efforts to create economic and social development through microcredit.

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Mathematics QUESTION #6968

Question 18

Find the derivative of $\tan^{-1}\!\left(\dfrac{\sin x-\cos x}{\sin x+\cos x}\right)$ with respect to $\dfrac{x}{2}$, for $x\in\left(0,\dfrac{\pi}{2}\right)$.

1
$\dfrac{2}{3}$
$\dfrac{1}{2}$
2✔️

Correct Answer Logic:

$\dfrac{\sin x-\cos x}{\sin x+\cos x} = \tan\!\left(x-\dfrac{\pi}{4}\right)$

So $f(x)=\tan^{-1}\!\left(\tan\!\left(x-\dfrac{\pi}{4}\right)\right)=x-\dfrac{\pi}{4}$ (within the principal range).

$\dfrac{df}{dx}=1$.

Let $g(x)=x/2$, so $dg/dx=1/2$.

Derivative of $f$ w.r.t. $g$: $\dfrac{df/dx}{dg/dx}=\dfrac{1}{1/2}=\mathbf{2}$

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Maths QUESTION #2824

Question 19

Solve for $x$: $3x - 7 = 2x + 5$

10
12✔️
14
15

Correct Answer Logic:

$3x - 7 = 2x + 5$. Subtract $2x$ from both sides: $x - 7 = 5$. Add 7: $x = 12$.

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Pakistan Affairs QUESTION #136

Question 20

Pakistan conducted its nuclear tests in Chaghi in:

1998✔️
1997
1999
1996

Correct Answer Logic:

Pakistan conducted five simultaneous underground nuclear tests at Ras Koh Hills in the Chagai District on May 28, 1998.

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