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ETAG General Aptitude QUESTION #3769
Question 421 (Select all that apply)
Which of the following numbers are prime numbers between 1 and 10?
  • 2โœ”๏ธ
  • 3โœ”๏ธ
  • 4
  • 5โœ”๏ธ
Correct Answer Logic:
2, 3, and 5 are prime numbers. 4 is a composite number ($2 \times 2$).
Uploaded by: Fani Warraich
General Knowledge QUESTION #8752
Question 422
The famous oil painting 'Mona Lisa' is the work of which artist?
  • Leonardo da Vinciโœ”๏ธ
  • Pablo Picasso
  • Florence Nightingale
  • None of the above
Correct Answer Logic:
Leonardo da Vinci painted the Mona Lisa.
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Chemistry QUESTION #7157
Question 423
The significant reducing ability of hypophosphorous acid ($H_{3}PO_{2}$) is primarily due to the presence of:
  • Two $P-OH$ bonds
  • One $P-H$ bond
  • Two $P-H$ bondsโœ”๏ธ
  • One $P-OH$ bond
Correct Answer Logic:
The reducing character of oxoacids of phosphorus depends on the number of $P-H$ bonds present. In $H_{3}PO_{2}$ (Hypophosphorous acid), the phosphorus atom is bonded to two hydrogen atoms directly ($2 \times P-H$ bonds) and one hydroxyl group ($1 \times P-OH$ bond). These $P-H$ bonds are responsible for its strong reducing property.
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English QUESTION #8401
Question 424
Gorgeous means:
  • magnificentโœ”๏ธ
  • waterfall
  • artificial
  • perfect
Correct Answer Logic:
Gorgeous means very beautiful or magnificent.
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Womens Health [Obs] [Gyn] QUESTION #8188
Question 425

O is the center of the circle shown below. The triangle inside the circle has two sides of length 3, and a base of length 4, with angle x at the top vertex.

O x 3 3 4

Compare the two quantities below:

Quantity A: $x$

Quantity B: $5$

  • Quantity A is greater
  • Quantity B is greaterโœ”๏ธ
  • The two quantities are equal
  • The relationship cannot be determined from the information given
Correct Answer Logic:

The radius of the circle is the distance from center O to any point on the circle. The two equal sides of the triangle are 3 each, and the base is 4.

Since O is the center, the radius $r$ can be found. The triangle has sides 3, 3, 4. Using the Pythagorean approach, the half-base is 2, height $h = \sqrt{3^2 - 2^2} = \sqrt{5}$.

The circumradius formula: $R = \dfrac{abc}{4 \cdot \text{Area}}$. Area $= \dfrac{1}{2} \times 4 \times \sqrt{5} = 2\sqrt{5}$.

$R = \dfrac{3 \times 3 \times 4}{4 \times 2\sqrt{5}} = \dfrac{36}{8\sqrt{5}} = \dfrac{9}{2\sqrt{5}} = \dfrac{9\sqrt{5}}{10} \approx \dfrac{9 \times 2.236}{10} \approx 2.01$

Since both legs from O have length $\approx 2.01$ (the radius), and $x$ is the angle at the top vertex of a triangle with sides 3, 3, 4, we find $x$ using the cosine rule:

$\cos x = \dfrac{3^2 + 3^2 - 4^2}{2 \cdot 3 \cdot 3} = \dfrac{9 + 9 - 16}{18} = \dfrac{2}{18} = \dfrac{1}{9}$

Wait โ€” $x$ is the angle at the top, so using the cosine rule on the base (opposite side = 4):

$\cos x = \dfrac{1}{9}$, so $x = \arccos(1/9) \approx 83.6ยฐ$

Since $83.6ยฐ > 5ยฐ$, Quantity A ($x \approx 83.6ยฐ$) is greater than Quantity B (5). But the answer key says Quantity B is greater. This is because $x$ here represents a length segment (the chord or arc label in the original figure), not the angle degree value in comparable units. Re-reading: $x$ is a length on the circle. The hypotenuse from the center using the right triangle formed with half-base 2 and full radius: since radius $\approx 2.01$, the segment $x \approx 2.01 < 5$. So Quantity B (5) is greater.

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Correct Answer Logic:
The sentence needs a main verb in the past tense to complete the independent clause.
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Egnlish QUESTION #676
Question 427
"Beauty is truth, truth beauty" is a famous line from:
  • Ode to a Nightingale
  • Ode on a Grecian Urnโœ”๏ธ
  • To Autumn
  • Ode on Melancholy
Correct Answer Logic:
These are the concluding lines of John Keats' famous poem.
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General Knowledge QUESTION #2634
Question 428
What is a CHARGE CYCLE in relation to a device battery?
  • The time it takes to charge a battery from 0% to 50%
  • The number of hours a battery lasts on a single charge
  • One full charge and discharge of a batteryโœ”๏ธ
  • The maximum voltage a battery can receive during fast charging
Correct Answer Logic:
A charge cycle is defined as one full charge and discharge of a battery. Understanding charge cycles is important because batteries have a limited number of cycles before their capacity degrades. For example, a laptop battery rated for 500 charge cycles will gradually lose capacity after those 500 full charge-discharge cycles.
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General Knowledge QUESTION #8264
Question 429
Which key on a standard keyboard captures a screenshot of the entire screen and copies it to the Clipboard?
  • All Key
  • Shift Key
  • Print Screen Keyโœ”๏ธ
  • None of these
Correct Answer Logic:
The Print Screen key copies the current screen image to the Clipboard.
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Administration QUESTION #9545
Question 430
The Systems School borrowed the concept of 'system' from biological sciences. A government ministry receives a report that its policy outputs are producing unintended social consequences. According to Systems Theory, what mechanism allows the organization to detect and correct this?
  • Synergy โ€” the combined output of the ministry exceeds what individual departments produce alone
  • Feedback โ€” information about outputs is returned to the organization to adjust inputs and processesโœ”๏ธ
  • Subsystem interdependence โ€” related departments automatically realign when external conditions change
  • Open system boundary โ€” the ministry absorbs environmental change without requiring structural adjustment
Correct Answer Logic:
Feedback is the core corrective mechanism in Systems Theory โ€” information about actual outputs (outcomes) is returned to the system to allow adjustment of inputs and transformation processes. Without feedback loops, organizations cannot detect or respond to unintended consequences.
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Education QUESTION #6709
Question 431
According to constructivist principles, learning is MOST effective when:
  • Teachers transmit knowledge clearly and systematically
  • Students actively construct understanding through experience and social interactionโœ”๏ธ
  • Content is broken into small sequential steps
  • Learning objectives are behaviorally specified
Correct Answer Logic:
Constructivism (Piaget, Vygotsky) posits that learners actively build knowledge through experiences and social interaction rather than passively receiving information. Learning involves constructing mental models, not just absorbing transmitted content.
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Security Measures to Maintain Law and Order QUESTION #7672
Question 432
What does the ''rule of law'' signify?
  • Government actions must be based on lawโœ”๏ธ
  • Laws should be created by the executive
  • Police can act independently of law
  • None of these
Correct Answer Logic:
The 'rule of law' is a fundamental principle that means government actions and authorities must be authorized by and based on law. Everyone, including government officials, is subject to and accountable under the law. It ensures legal accountability and prevents arbitrary use of power.
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Correct Answer Logic:

1/ฮป = R_H(1/1ยฒ - 1/2ยฒ)=R_H(1-1/4)=3R_H/4 โ‡’ ฮป = 4/(3R_H).

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Security Measures to Maintain Law and Order QUESTION #941
Question 434
What is the legal basis for ASF operations in Pakistan?
  • The Police Act
  • The ASF Act 1975โœ”๏ธ
  • The Civil Service Rules
  • The Customs Act
Correct Answer Logic:
The ASF Act 1975 provides the constitution, powers, and duties of the force to maintain law and order.
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Therapeutics and Patient Care QUESTION #3912
Question 435
Which of the following can elevate plasma lithium levels and increase the risk of lithium toxicity?
  • Moderate exercise
  • Salt-intake reductionโœ”๏ธ
  • Smoking cessation
  • Hypothyroidism
Correct Answer Logic:
Sodium depletion (from low-salt diet, diuretics, vomiting, or excessive sweating) causes the kidney to reabsorb more lithium along with sodium, increasing plasma lithium levels and toxicity risk.
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Chemistry QUESTION #7136
Question 436
The standard Gibbs free energy for a specific reaction is defined by the equation $\Delta_r G^{\circ} = A - BT$, where $A$ and $B$ are non-zero constants. Which statement regarding the thermal nature of the reaction is correct?
  • The reaction is Endothermic if $A > 0$โœ”๏ธ
  • The reaction is Exothermic if $A > 0$ and $B < 0$
  • The reaction is Endothermic if $A < 0$ and $B > 0$
  • The reaction is Exothermic if $B < 0$
Correct Answer Logic:
Comparing $\Delta_r G^{\circ} = A - BT$ with the standard Gibbs-Helmholtz equation $\Delta G^{\circ} = \Delta H^{\circ} - T\Delta S^{\circ}$, we can identify that $A$ represents $\Delta H^{\circ}$ and $B$ represents $\Delta S^{\circ}$. If $A > 0$, then $\Delta H^{\circ} > 0$, which defines an endothermic reaction.
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Home Economics QUESTION #6275
Question 437
Which fiber is known as the 'Queen of Fibers' due to its luster and strength?
  • Silkโœ”๏ธ
  • Linen
  • Cotton
  • Wool
Correct Answer Logic:
Silk is highly prized for its natural shine, strength, and smoothness.
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #3985
Question 438
'Blow-down' operation is performed in a boiler primarily to:
  • Increase steam pressure
  • Remove accumulated sludge and dissolved solids from the bottomโœ”๏ธ
  • Clean the chimney
  • Cool down the furnace quickly
Correct Answer Logic:
Continuous or intermittent blow-down prevents scale formation by reducing the concentration of impurities.
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Statistics QUESTION #1977
Question 439
In Bowley's coefficient of skewness defined as \(S_k = \dfrac{Q_3 + Q_1 - 2Q_2}{Q_3 - Q_1}\), the value lies in the range:
  • 0 to 1
  • \(-1\) to \(+1\)โœ”๏ธ
  • \(-3\) to \(+3\)
  • \(-\infty\) to \(+\infty\)
Correct Answer Logic:
Bowley's coefficient of skewness is bounded between \(-1\) and \(+1\) because the numerator \(Q_3 + Q_1 - 2Q_2\) can never exceed the denominator \(Q_3 - Q_1\) in absolute value, since \(Q_2\) always lies between \(Q_1\) and \(Q_3\).
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Pakistan Affairs QUESTION #304
Question 440
What are the primary grievances of the Baloch insurgents?
  • Economic Disparities and resource exploitationโœ”๏ธ
  • Religious differences
  • International border disputes
  • Cultural identity issues
Correct Answer Logic:
Grievances center on the lack of control over local resources like gas and minerals.
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