Reading Mode - Questions

From $\vec{b} = 2\vec{a}$: $4\hat{i}+(3-\lambda_2)\hat{j}+6\hat{k} = 4\hat{i}+2\lambda_1\hat{j}+6\hat{k}$. Comparing: $3-\lambda_2 = 2\lambda_1$, so $\lambda_2 = 3-2\lambda_1$. From $\vec{a} \perp \vec{c}$: $2(3) + \lambda_1(6) + 3(\lambda_3-1) = 0$, giving $6+6\lambda_1+3\lambda_3-3 = 0$, so $6\lambda_1+3\lambda_3 = -3$, thus $2\lambda_1+\lambda_3 = -1$. Testing option B: $\lambda_1 = -\frac{1}{2}$, $\lambda_2 = 4$, $\lambda_3 = 0$. Check: $\lambda_2 = 3-2(-\frac{1}{2}) = 3+1 = 4$ ✓. And $2(-\frac{1}{2})+0 = -1$ ✓.

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Agronomy QUESTION #2029

Question 5964

The Penman-Monteith equation is used in irrigation management to estimate:

Soil water holding capacity
Reference evapotranspiration ($ET_0$) as the standard for computing crop water requirements✔️
The hydraulic conductivity of soil
The critical period of water requirement for a crop

Correct Answer Logic:

The FAO Penman-Monteith equation is the globally accepted standard for computing reference evapotranspiration ($ET_0$) using climatic variables (temperature, humidity, wind speed, solar radiation). Actual crop ET is then computed as $ET_c = K_c \times ET_0$, where $K_c$ is the crop coefficient.

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Security Measures to Maintain Law and Order QUESTION #933

Question 5965

What does the term 'Access Control' specifically regulate?

Public transportation
Entry and exit of people and vehicles✔️
Flight departure times
Airport revenue

Correct Answer Logic:

Access control ensures that only authorized individuals can enter specific restricted or sensitive zones.

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General Knowledge QUESTION #8886

Question 5966

The famous Muslim saint Baba Farid Ganj Shakar is buried at which city?

Jhang
Multan
Pakpattan✔️
Kot Mithan

Correct Answer Logic:

Baba Farid's shrine is in Pakpattan.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3297

Question 5967

Which class of 'Immunoglobulins' (Antibodies) is the most abundant in the blood?

IgA
IgE
IgG✔️
IgM

Correct Answer Logic:

IgG provides long-term immunity and can cross the placenta.

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Mathematics QUESTION #6949

Question 5968

Let $p = \displaystyle\lim_{x\to0^+}\left(1+\tan^2\sqrt{x}\right)^{\frac{1}{2x}}$. Find $\ln p$.

1
$\dfrac{1}{2}$✔️
$\dfrac{1}{4}$
2

Correct Answer Logic:

This is a $1^\infty$ indeterminate form. Take logarithm:

$\ln p = \lim_{x\to0^+}\dfrac{\ln(1+\tan^2\sqrt{x})}{2x}$

Let $t=\sqrt{x}$, so $x=t^2$, $x\to0^+$ means $t\to0^+$:

$= \lim_{t\to0^+}\dfrac{\ln(1+\tan^2 t)}{2t^2} = \lim_{t\to0^+}\dfrac{\tan^2 t}{2t^2} = \dfrac{1}{2}$

(using $\ln(1+u)\approx u$ for small $u$ and $\lim_{t\to0}\frac{\tan t}{t}=1$)

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HR and Management QUESTION #6437

Question 5969

The primary purpose of Human Resource Planning (HRP) is to:

Ensure the right number and types of people are available when needed✔️
Reduce overall headcount to minimize costs
Comply with equal employment opportunity laws
Develop training programs for current employees

Correct Answer Logic:

HRP ensures that organizations have the right number of people, with the right skills, in the right places, at the right times. It's a proactive process linking HR activities to organizational strategy and forecasting future needs.

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Reading and Writing (Module-1) QUESTION #5451

Question 5970

Notes: Gregorian calendar (365 days) causes dates to fall on different weekdays each year. Hanke-Henry calendar (364 days) has dates on same weekday each year, supporting predictable scheduling. Which choice explains an advantage of Hanke-Henry?

Gregorian has 365 days, one day longer than Hanke-Henry.
Adopting Hanke-Henry would help solve a problem with Gregorian.
Designed so dates occur on same weekday each year, Hanke-Henry supports more predictable scheduling than Gregorian.✔️
Hanke-Henry was developed as an alternative to Gregorian, which is most-used.

Correct Answer Logic:

Option C directly states the advantage (same weekday ? predictable scheduling) and compares to Gregorian.

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Security Measures to Maintain Law and Order QUESTION #857

Question 5971

Under Section 12, "Good Faith" is a defense. An act is NOT in good faith if it is done with:

Speed
Malice or Negligence✔️
Proper authority
Fear

Correct Answer Logic:

Indemnity does not protect an officer if it is proven the action was taken with "Malafide" (bad intent) or gross negligence.

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Islamic Studies QUESTION #226

Question 5972

If the husband is childless, how much does the widow get from the inheritance?

1/2
1/3
1/4✔️
None of these

Correct Answer Logic:

According to Sharia, a widow gets 1/4 if there are no children, and 1/8 if there are.

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Urdu QUESTION #5292

Question 5973

دامن تر ہونا محاورے کا مفہوم کیا ہے؟

آنسو سے بھیگ جانا
گنہگار ہونا✔️
غم میں شریک ہونا
پیاس بجھانا

Correct Answer Logic:

دامن تر ہونا محاورے کا مطلب ہے گنہگار ہونا یعنی اپنی آستین پر گناہ کے داغ ہونا۔

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General Abilities QUESTION #2880

Question 5974

If $A:B = 2:3$ and $B:C = 4:5$, find $A:B:C$.

2:3:5
8:12:15✔️
4:6:10
2:4:5

Correct Answer Logic:

Multiply ratios to align B: $A:B = 8:12$ and $B:C = 12:15$. Thus $8:12:15$.

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General Knowledge QUESTION #8919

Question 5975

'Mocha' is a type of:

Coffee✔️
Tea
Chocolate
Juice

Correct Answer Logic:

Mocha is a type of coffee.

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Statistics QUESTION #1955

Question 5976

Statistics is primarily concerned with which of the following?

Single individuals
Isolated and particular facts
Unrelated items
Aggregative and collective facts✔️

Correct Answer Logic:

Statistics deals with aggregates or groups of facts, not individual or isolated data points. It is the science of collecting, analyzing, and interpreting data in groups.

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Ability / HR / Governance / Special Education QUESTION #1894

Question 5977

Which two earlier sets of rules were repealed by Rule 11 of GS E&D Rules 1973?

GS E&D Rules 1955 and GS Conduct Rules 1964
GS E&D Rules 1960 and Civilian Employees in Defence Services (Classification Control and Appeal) Rules 1961✔️
GS E&D Rules 1965 and Civil Servants Act 1951
GS E&D Rules 1959 and Federal Public Service Commission Rules 1960

Correct Answer Logic:

Rule 11 specifically repeals the Government Servants (Efficiency and Discipline) Rules 1960 and the Civilian Employees in Defence Services (Classification Control and Appeal) Rules 1961.

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Education QUESTION #6746

Question 5978

A teacher wants to develop students' metacognitive abilities. Which strategy MOST effectively promotes metacognition?

Providing correct answers immediately✔️
Teaching students to plan
monitor
and evaluate their own thinking processes

Correct Answer Logic:

Increasing memorization requirements

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Quantitative Reasoning QUESTION #8026

Question 5979

This poetry is not _______; it is more likely to appeal to an international audience than poetry built around strictly regional themes.

familiar
democratic
technical
provincial✔️

Correct Answer Logic:

The blank describes poetry that is not internationally appealing — i.e., narrowly local. Provincial means narrow-minded or limited to a local area, which directly contrasts with 'international audience.' 'Familiar,' 'democratic,' and 'technical' do not logically contrast with having international appeal.

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Boilers Mechanical Engineering QUESTION #2445

Question 5980

For the SDOF damped forced vibration $m\ddot{x}+c\dot{x}+kx=F_0\sin pt$, the steady-state response lags the excitation by phase angle $\phi$ where:

$\tan\phi = \frac{1-(p/\omega_n)^2}{2\zeta(p/\omega_n)}$
$\tan\phi = \frac{2\zeta(p/\omega_n)}{1-(p/\omega_n)^2}$✔️
$\tan\phi = \frac{p}{\omega_n}$
$\tan\phi = \frac{k}{cp}$

Correct Answer Logic:

The phase angle: $\phi=\arctan\frac{2\zeta(p/\omega_n)}{1-(p/\omega_n)^2}$. At resonance ($p=\omega_n$): $\phi=90°$ regardless of damping.

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