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Physics QUESTION #7086

Identify the correct mathematical relationship between Young's modulus ($Y$), Bulk modulus ($K$), and Rigidity modulus ($\eta$).

$Y=\frac{9K\eta}{3K-\eta}$
$Y=\frac{9K\eta}{2\eta+3K}$
$K=\frac{Y\eta}{9\eta-3Y}$✔️
$n=\frac{3YK}{9K+Y}$

Correct Answer Logic:

The standard relation between these moduli is $\frac{9}{Y} = \frac{3}{\eta} + \frac{1}{K}$.

Rearranging for $K$: $\frac{1}{K} = \frac{9}{Y} - \frac{3}{\eta} = \frac{9\eta - 3Y}{Y\eta}$
$K = \frac{Y\eta}{9\eta - 3Y}$.

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Physics QUESTION #7038

Question 3202

A screw gauge has a pitch of $0.5 \text{ mm}$ and $100$ circular divisions. When tightened without an object, the zero of the circular scale is $3$ divisions below the mean line. For a thin sheet, the readings are: Main Scale $= 5.5 \text{ mm}$, Circular Scale $= 48$. Find the sheet thickness.

$5.755 \text{ mm}$
$5.950 \text{ mm}$
$5.725 \text{ mm}$✔️
$5.740 \text{ mm}$

Correct Answer Logic:

$LC = \frac{0.5}{100} = 0.005 \text{ mm}$.

Zero Error: Since the zero is 3 divisions below the mean line, it is a positive zero error. Zero Error $= +3 \times 0.005 = +0.015 \text{ mm}$.

Observed Reading: $5.5 + (48 \times 0.005) = 5.5 + 0.240 = 5.740 \text{ mm}$.

Actual Thickness: Observed Reading $-$ Zero Error $= 5.740 - 0.015 = 5.725 \text{ mm}$.

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Law QUESTION #9503

Question 3203

A obtains a decree against B. B satisfies the decree in full by paying the decretal amount to A. A does not inform the Court and subsequently applies for fresh execution. B seeks to raise the plea of satisfaction. A argues B should have deposited the amount in Court. What is the correct position?

B can raise the plea of full satisfaction of the decree in the execution proceedings under Section 47 CPC; the executing Court must investigate and, if satisfied, refuse execution✔️
A is correct; only Court-deposited payments constitute valid satisfaction
B's plea cannot be raised in execution; payment must always be made in Court
B must file a separate suit to prove payment

Correct Answer Logic:

Section 47 CPC vests jurisdiction in the executing Court to determine all questions of execution, discharge, or satisfaction. Payment made directly to the decree-holder and accepted by him constitutes valid satisfaction. B can raise this in execution proceedings and the Court must adjudicate it.

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Pakistan Affairs QUESTION #324

Question 3204

Who is Pakistan's first female mountaineer to conquer Mount Everest?

Nazia Parveen
Samina Baig✔️
Mahoor Shahzad
Benazir Bhutto

Correct Answer Logic:

Samina Baig became the first Pakistani woman to reach the summit of Mount Everest in 2013.

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Education QUESTION #6882

Question 3205

Lee Canter's Assertive Discipline model requires teachers to take which specific action BEFORE the school year begins, as its foundational step?

Conduct home visits to assess the behavioral profiles of incoming students
Establish a systematic discipline plan and communicate expectations and consequences to students at the outset✔️
Develop a school-wide behavioral support team with administrative backing
Design individualized behavior modification contracts for each student

Correct Answer Logic:

The core premise of Assertive Discipline is proactive: teachers must construct a clear, systematic discipline plan prior to the start of the school year — including both positive consequences for compliance and negative consequences for non-compliance — and then communicate these explicitly to students from the very first day.

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Biology QUESTION #7243

Question 3206

Two microbes found to be very useful in genetic engineering are:

Diplococcus sp. and Pseudomonas sp.
Crown gall bacterium and Caenorhabditis elegans
Escherichia coli and Agrobacterium tumefaciens✔️
Vibrio cholerae and a tailed bacteriophage

Correct Answer Logic:

E. coli is the workhorse of genetic engineering — used for cloning, protein expression, and plasmid propagation. Agrobacterium tumefaciens is used to introduce foreign genes into plant cells via its Ti plasmid. Together they are the most commonly used microbes in genetic engineering.

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Mathematics QUESTION #6024

Question 3207

If $y = \sec(\tan^{-1}x)$, find $\dfrac{dy}{dx}$ at $x=1$.

$\dfrac{1}{\sqrt{2}}$✔️
$\dfrac{1}{2}$
1
$\sqrt{2}$

Correct Answer Logic:

Let $\theta = \tan^{-1}x$, so $\tan\theta = x$ and $y = \sec\theta$.

$\frac{dy}{dx} = \sec\theta\tan\theta\cdot\frac{d\theta}{dx} = \sec\theta\tan\theta\cdot\frac{1}{1+x^2}$

Since $\tan\theta=x$ and $\sec\theta=\sqrt{1+x^2}$:

$\frac{dy}{dx} = \sqrt{1+x^2}\cdot x\cdot\frac{1}{1+x^2} = \frac{x}{\sqrt{1+x^2}}$

At $x=1$: $\frac{dy}{dx} = \frac{1}{\sqrt{2}}$

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Pakistan Affairs QUESTION #297

Question 3208

What was the most significant achievement of the PPP government (2008-2013)?

Completion of 5-year term✔️
Comprehensive Reforms
Restoration of Chief Justice
Death of Osama bin Laden

Correct Answer Logic:

It was the first civilian government in Pakistan to complete a full constitutional term.

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General Abilities QUESTION #2891

Question 3209

Find the missing number: $2, 5, 10, 17, \dots, 37$

24
25
26✔️
28

Correct Answer Logic:

The series adds consecutive odd numbers: $+3, +5, +7$. Next is $+9$, so $17+9=26$.

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English QUESTION #2658

Question 3210

Change to indirect: '“Don’t smoke,” the doctor said to me.'

The doctor said to me don't smoke.
The doctor advised me not to smoke.✔️
The doctor told me to not smoke.
The doctor forbade me to smoke.

Correct Answer Logic:

Imperative sentences with 'don't' are typically changed to 'advised/ordered + not to + verb'.

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Islamic Studies QUESTION #7906

Question 3211

What is the distance between Makkah and Medina about?

100 miles
200 miles✔️
300 miles
400 Miles

Correct Answer Logic:

The distance between Makkah and Medina is approximately 450 kilometers or about 280 miles. However, according to the answer key, the answer is 200 miles, which may represent an older measurement or rounded figure. The Prophet (PBUH) migrated from Makkah to Medina in 622 CE.

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General Abilities QUESTION #2827

Question 3212

The sum of two consecutive even numbers is 94. Find the larger number.

46
48✔️
50
52

Correct Answer Logic:

Let the numbers be $n$ and $n+2$. Then $n + (n+2) = 94 \Rightarrow 2n + 2 = 94 \Rightarrow 2n = 92 \Rightarrow n = 46$. Larger number $= 46 + 2 = 48$.

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Math Physics Chemistry Biology QUESTION #562

Question 3213

Which disease causes immobility and fusion of vertebral joint?

Sciatica
Spondylosis
Disc slip
Rickets✔️

Correct Answer Logic:

Answer key shows D but spondylosis (B) is correct

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Ability / HR / Governance / Special Education QUESTION #1892

Question 3214

Under Rule 10 if a penalty is imposed by order of the President what remedy is available to the aggrieved government servant?

Appeal to the Federal Service Tribunal
No appeal but may apply for review of the order✔️
Appeal to the Supreme Court
Appeal to the Secretary Establishment Division

Correct Answer Logic:

The proviso to Rule 10 states that where penalty is imposed by the President there shall be no appeal but the person may apply for review.

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CISA QUESTION #1765

Question 3215

Which of the following would NOT be classified as a control failure?

Using a policy that has no detective mechanism to identify violations
Modifying an ineffective procedure outside of change control
Testing to determine how many policy violations have occurred✔️
Implementing a policy or standard without defining consequences for non-compliance

Correct Answer Logic:

Testing to discover policy violations is an example of a detective control in action — it is not a control failure. All other options represent failures because they lack detection, bypass change control, or implement controls without enforcement mechanisms.

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Civil / Architecture QUESTION #2374

Question 3216

In the Pushover Analysis (nonlinear static analysis) for seismic performance evaluation, the Performance Point is determined as the intersection of:

The capacity spectrum (pushover curve in ADRS format) with the linear elastic response spectrum
The capacity spectrum with the demand spectrum (reduced for ductility using a constant ductility reduction factor), representing the actual inelastic seismic demand on the structure✔️
The base shear–roof displacement curve with the design base shear calculated by the Equivalent Lateral Force method
The demand spectrum at 5% damping with the elastic first-mode capacity

Correct Answer Logic:

In ATC-40 Capacity Spectrum Method (CSM), the Performance Point is the intersection of the Capacity Spectrum (pushover curve converted to ADRS — Acceleration-Displacement Response Spectrum format: Sa vs. Sd) with the Demand Spectrum (elastic 5%-damped spectrum reduced by effective damping $\beta_{eff}$ accounting for hysteretic energy dissipation). This point represents the actual expected displacement demand on the inelastic structure for the given earthquake.

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Math Physics Chemistry Biology QUESTION #516

Question 3217

End product of hemoglobin break down is:

Creatinine
Bilirubin✔️
Hypoxanthin
Xanthin

Correct Answer Logic:

Hemoglobin breaks down to bilirubin

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English QUESTION #8349

Question 3218

Abase means:

with a base
basic
degrade✔️
abet

Correct Answer Logic:

Abase means to humiliate or degrade.

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Dairy Food Science and Technology QUESTION #5898

Question 3219

The minimum fat content of butter as per Codex Alimentarius standard specifications is:

$75\%$
$80\%$✔️
$85\%$
$90\%$

Correct Answer Logic:

According to Codex Alimentarius and most national standards, butter must contain a minimum of $80\%$ milk fat. It also contains $\leq 16\%$ water and $\leq 2\%$ milk solids-not-fat (MSNF).

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English QUESTION #2644

Question 3220

Which word is a preposition in this sentence: 'The cat jumped over the fence.'

Cat
Jumped
Over✔️
Fence

Correct Answer Logic:

'Over' is a preposition showing the spatial relationship between the cat and the fence.

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