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Dairy Food Science and Technology QUESTION #5876

In yoghurt fermentation, $S.\; thermophilus$ and $L.\; bulgaricus$ exhibit a symbiotic relationship. Which statement correctly describes this?

Both organisms produce only lactic acid independently
$S.\; thermophilus$ produces $\text{CO}_2$ stimulating $L.\; bulgaricus$; $L.\; bulgaricus$ produces amino acids stimulating $S.\; thermophilus$
$L.\; bulgaricus$ grows first and lowers $\text{pH}$ enabling $S.\; thermophilus$
$S.\; thermophilus$ produces formic acid and $\text{CO}_2$ stimulating $L.\; bulgaricus$; $L.\; bulgaricus$ proteolysis releases peptides stimulating $S.\; thermophilus$ growth✔️

Correct Answer Logic:

This is protocooperation: $S.\; thermophilus$ grows first producing formic acid and $\text{CO}_2$ stimulating $L.\; bulgaricus$. $L.\; bulgaricus$ then produces protease activity releasing peptides and amino acids (valine, histidine) that stimulate further $S.\; thermophilus$ growth.

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Mathematics QUESTION #4152

Question 322

Forces $\vec{BC}$, $\vec{CA}$, $\vec{BA}$ act along the sides of triangle $ABC$. If $D$ bisects $BC$ and $E$ is on $CA$ with $CE = \frac{1}{3}CA$, what is the magnitude of the resultant in terms of $DE$?

$2DE$
$4DE$
$6DE$✔️
$3DE$

Correct Answer Logic:

Using vector addition and section formula, the resultant of forces along the sides equals $6\vec{DE}$ in magnitude.

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General Abilities QUESTION #7651

Question 323

If $x + \frac{1}{x} = 15$, then the value of $x^2 + \frac{1}{x^2}$ is:

$225$
$223$✔️
$17$
None of these

Correct Answer Logic:

To find $x^2 + \frac{1}{x^2}$, we square the given equation: $\left(x + \frac{1}{x}\right)^2 = 15^2$. Expanding: $x^2 + 2 \cdot x \cdot \frac{1}{x} + \frac{1}{x^2} = 225$. This simplifies to $x^2 + 2 + \frac{1}{x^2} = 225$. Therefore, $x^2 + \frac{1}{x^2} = 225 - 2 = 223$.

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Chemistry QUESTION #4369

Question 324

Which of the following is true about pressure for an ideal gas at $-273\ °C$?

$P = 1\ atm$
$P = 2\ atm$
$P = 3\ atm$
$P = 0\ atm$✔️

Correct Answer Logic:

$-273\ °C = 0\ K$ (absolute zero). By the ideal gas law $PV = nRT$, at $T = 0\ K$, $P = \frac{nRT}{V} = 0$. At absolute zero, all molecular motion ceases and pressure becomes zero.

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HR and Management QUESTION #6458

Question 325

When organizations ask HR managers for assistance in 'matching the distinctive competencies of the firm's human resources to the mission of the organization,' this represents:

Operational HR management
Strategic HR management✔️
Tactical HR planning
Administrative HR compliance

Correct Answer Logic:

This represents strategic HR management - aligning human resources (their distinctive competencies) with organizational strategy (mission). It moves HR from purely operational/administrative functions to strategic business partner role.

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Planning QUESTION #4956

Question 326

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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General Knowledge QUESTION #4775

Question 327

After Pashtuns, which ethnic group constitutes the second-largest population in Afghanistan?

Uzbeks
Hazaras
Tajiks✔️
Turkmens

Correct Answer Logic:

Tajiks are the second-largest ethnic group in Afghanistan after Pashtuns, comprising approximately 27% of the population. They are predominantly found in northern and western Afghanistan.

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Egnlish QUESTION #686

Question 328

What is the central theme of "Tintern Abbey"?

The industrial revolution
The restorative power of nature✔️
Urbanization
None of these

Correct Answer Logic:

Wordsworth explores how the memory of nature's beauty provides "sweet sensations" and moral guidance to the "weary mind."

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Electrical Engineering QUESTION #2165

Question 329

For a uniform plane wave in free space with $|\vec{E}| = 100\,\text{V/m}$, the average Poynting power density is:

$13.3\,\text{W/m}^2$✔️
$26.5\,\text{W/m}^2$
$53\,\text{W/m}^2$
$100\,\text{W/m}^2$

Correct Answer Logic:

$S_{avg} = \frac{|E|^2}{2\eta_0} = \frac{(100)^2}{2 \times 377} = \frac{10000}{754} \approx 13.3\,\text{W/m}^2$, where $\eta_0 = 377\,\Omega$.

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Education QUESTION #6885

Question 330

Which of the following is the MOST accurate definition of 'benchmarking' in the context of behavioral record-keeping in schools?

The process of comparing a student's academic performance against national test score averages
Recording and monitoring student behavior against specific, pre-defined performance indicators at designated intervals✔️
A technique in which teachers rank students' behavioral outcomes relative to their classroom peers
A method of documenting teacher performance during classroom observations for appraisal purposes

Correct Answer Logic:

In behavioral record-keeping, benchmarks are specific reference points tied to observable levels of behavioral performance. They allow teachers and administrators to track whether a student is progressing, plateauing, or regressing in behavioral development over time — similar to how academic benchmarks track cognitive progress.

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Chemistry QUESTION #7534

Question 331

Find the oxidation states of Cr in $[\text{Cr(H}_2\text{O)}_6]\text{Cl}_3$, $[\text{Cr(C}_6\text{H}_6)_2]$, and $\text{K}_2[\text{Cr(CN)}_2(\text{O})_2(\text{O}_2)(\text{NH}_3)]$ respectively.

+3, 0, and +6✔️
+3, 0, and +4
+3, +4, and +6
+3, +2, and +4

Correct Answer Logic:

$[\text{Cr(H}_2\text{O)}_6]\text{Cl}_3$: H$_2$O is neutral, Cl$^-$ is $-1$, complex has charge 3+. So Cr = +3.

$[\text{Cr(C}_6\text{H}_6)_2]$: Benzene is a neutral ligand (0 charge). Complex is neutral. So Cr = 0.

$\text{K}_2[\text{Cr(CN)}_2(\text{O})_2(\text{O}_2)(\text{NH}_3)]$: K$^+$ gives $+2$ outside; complex ion has $-2$ charge. CN$^-$ ($-1$ each, $2\times-1=-2$); O$^{2-}$ ($-2$ each, $2\times-2=-4$); O$_2^{2-}$ (peroxo, $-2$); NH$_3$ (0). Let Cr = $x$: $x + (-2) + (-4) + (-2) + 0 = -2 \Rightarrow x - 8 = -2 \Rightarrow x = +6$.

Oxidation states: +3, 0, +6.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3276

Question 332

Bacteria that are 'Rod-shaped' are scientifically classified as:

Cocci
Bacilli✔️
Spirilla
Vibrios

Correct Answer Logic:

Bacilli are rod-shaped; Cocci are spherical; Spirilla are spiral.

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Biology Zoology Botany QUESTION #1384

Question 333

Which group of organisms is known for having chloroplasts in every cell?

Fungi
Algae✔️
Bryophytes
Lichens

Correct Answer Logic:

Algae contain chloroplasts in every photosynthetic cell of their thallus. Algal chloroplasts come in diverse shapes (cup-shaped, ribbon-like, stellate) and contain photosynthetic pigments. Fungi have no chloroplasts at all (they are heterotrophs). Bryophytes have chloroplasts in their green cells but not every cell (e.g., rhizoids lack them). Lichens are fungal-algal symbioses.

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Reading and Writing (Module-1) QUESTION #5438

Question 334

Many of Shakespeare's tragedies appeal to today's audiences.?Romeo and Juliet?tackles universal themes. But understanding his history plays requires knowledge of English history. Consequently, ____

many theatergoers today find history plays less engaging than tragedies.✔️
some tragedies are more relevant than 20th-century plays.
Romeo and Juliet?is the most thematically accessible tragedy.
experts in English history prefer history plays to other works.

Correct Answer Logic:

The contrast implies history plays are less accessible/engaging for modern audiences.

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Math Physics Chemistry Biology QUESTION #745

Question 335

Emf = VBL sinθ (related to that):

Volts✔️
Ohm
Newton's
Joules

Correct Answer Logic:

EMF (electromotive force) is measured in Volts. The formula VBL sinθ gives the induced EMF in a conductor moving in a magnetic field.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2582

Question 336

Under section 5(2) of the Act, a notification issued by the Government amending the Second Schedule (adding, modifying or deleting any entry regarding taxable services or rates) shall be effective from what date?

Three months before the date of notification
The date of approval by the Provincial Assembly
Such date as may be specified in the notification, but not prior to the date on which the notification is PUBLISHED in the Official Gazette✔️
The first day of the next financial year

Correct Answer Logic:

Section 5(2) provides a strict rule: the notification shall be effective from such date as may be specified therein, but SUCH DATE SHALL NOT BE PRIOR TO THE DATE ON WHICH THE NOTIFICATION IS PUBLISHED in the official Gazette — preventing retrospective taxation through subordinate legislation.

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Physics and Math QUESTION #782

Question 337

$\dfrac{1 - \cos\alpha}{\sin\alpha} = ?$

$\tan\dfrac{\alpha}{2}$✔️
$\cot\dfrac{\alpha}{2}$
$\sin\dfrac{\alpha}{2}$
None

Correct Answer Logic:

Using half-angle identities: $1 - \cos\alpha = 2\sin^2\dfrac{\alpha}{2}$ and $\sin\alpha = 2\sin\dfrac{\alpha}{2}\cos\dfrac{\alpha}{2}$, so the ratio $= \tan\dfrac{\alpha}{2}$.

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Mathematics QUESTION #6986

Question 338

Five observations have mean $= 4$ and variance $= 5.2$. Three of the observations are $3, 4, 4$. Find the absolute difference between the remaining two observations.

7✔️
5
1
3

Correct Answer Logic:

Step 1 — Find the sum: $\sum x_i = 5\times4=20$. Known three: $3+4+4=11$. So $x_4+x_5=9$.

Step 2 — Find sum of squares: Variance $=\frac{\sum x_i^2}{n}-\bar{x}^2 \Rightarrow \frac{\sum x_i^2}{5}-16=5.2 \Rightarrow \sum x_i^2=106$.

Known: $3^2+4^2+4^2=9+16+16=41$. So $x_4^2+x_5^2=65$.

Step 3 — Solve: $x_4+x_5=9$ and $x_4^2+x_5^2=65$.

$(x_4+x_5)^2=81 \Rightarrow 2x_4x_5=81-65=16 \Rightarrow x_4x_5=8$.

$(x_4-x_5)^2=(x_4+x_5)^2-4x_4x_5=81-32=49$

$|x_4-x_5|=\mathbf{7}$

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English QUESTION #7546

Question 339

Choose the correct meaning of the word pair "Stationary and Stationery"

Stationary = not moving; Stationery = writing materials.✔️
Stationary = writing materials; Stationery = fixed.
Both mean "still."
Both mean "paper."

Correct Answer Logic:

Stationary means not moving or fixed in one place; "Stationery" refers to writing paper

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General Knowledge QUESTION #4771

Question 340

How many official working languages does the United Nations recognize?

8
6✔️
4
10

Correct Answer Logic:

The United Nations recognizes 6 official languages: Arabic, Chinese, English, French, Russian, and Spanish.

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