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Physics QUESTION #7321

The velocity of a particle is given by $v = At + Bt^2$, where $A$ and $B$ are constants. The distance travelled between $t = 1\text{ s}$ and $t = 2\text{ s}$ is:

$\dfrac{3}{2}A + 4B$
$3A + 7B$
$\dfrac{3}{2}A + \dfrac{7}{3}B$✔️
$\dfrac{A}{2} + \dfrac{B}{3}$

Correct Answer Logic:

$x = \displaystyle\int_1^2 v\,dt = \int_1^2 (At + Bt^2)\,dt = \left[\dfrac{At^2}{2} + \dfrac{Bt^3}{3}\right]_1^2$

$= \left(\dfrac{4A}{2} + \dfrac{8B}{3}\right) - \left(\dfrac{A}{2} + \dfrac{B}{3}\right) = \mathbf{\dfrac{3A}{2} + \dfrac{7B}{3}}$

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Education QUESTION #6737

Question 2

When students work collaboratively and construct knowledge through social interaction, this reflects principles of:

Behaviorism
Social constructivism✔️
Direct instruction
Individual learning theory

Correct Answer Logic:

Social constructivism (Vygotsky) emphasizes that learning occurs through social interaction and collaborative knowledge construction. Understanding develops through dialogue, shared activity, and cultural tools—not just individual cognition.

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Security Measures to Maintain Law and Order QUESTION #834

Question 3

In the event of a "Hijacking" attempt, which section provides the legal cover for ASF to use force?

Section 4
Section 6✔️
Section 9
Section 12

Correct Answer Logic:

Section 6(1)(e) explicitly tasks the force with taking measures to prevent hijacking and sabotage.

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General Knowledge QUESTION #4789

Question 4

Who was the first Viceroy of India?

Lord Ripon
Lord Canning✔️
Lord Curzon
Lord Mountbatten

Correct Answer Logic:

Lord Canning (Charles John Canning) became the first Viceroy of India in 1858 when the British Crown took over governance from the East India Company following the 1857 uprising.

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MCQs Section QUESTION #4903

Question 5

A migraine typically afflicts one side of the head, lasts for hours or days, and may recur _____.

as infrequently as once every other month or often, as daily
as infrequently as once every other month or as often as daily✔️
infrequently, as often as once every other month, or often, like
infrequently, like once every other month, or often, like

Correct Answer Logic:

It uses fully parallel 'as…as' constructions: 'as infrequently as once every other month or as often as daily.' Option A omits the second 'as,' breaking the parallel. Options C and D incorrectly use 'like' in place of 'as' in comparative constructions. Option E mixes constructions inconsistently.

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General Abilities QUESTION #4528

Question 6

What is $\sqrt{(-5)^2}$?

$-5$
$5$✔️
$\pm 5$
$25$

Correct Answer Logic:

$\sqrt{a^2} = |a|$, the absolute value. So $\sqrt{(-5)^2} = \sqrt{25} = 5$

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3408

Question 7

'ATP' is often called the 'Energy Currency' of the cell because energy is stored in its:

Nitrogenous base
High-energy phosphate bonds✔️
Ribose sugar
Oxygen atoms

Correct Answer Logic:

Breaking the phosphate bond releases energy for cellular work.

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Accounting & Finance QUESTION #6074

Question 8

A business started three years ago. The following data is available:

Cost at the beginning of Year 1	$10,000
Accumulated depreciation at the end of Year 3	$6,000
Draft profit for Year 3	$18,000

Draft profit was calculated using straight-line depreciation. Before closing, the business changed to the reducing balance method at 25% per annum for Year 3. What is the adjusted profit for Year 3?

$16,000
$17,500
$18,500✔️
$19,000

Correct Answer Logic:

1. Straight-line depreciation = $6,000 / 3 years = $2,000 per year.
2. Net Book Value (NBV) at start of Year 3 = $10,000 - ($2,000 $\times$ 2) = $6,000.
3. New Depreciation (Reducing Balance) = $6,000 @ 25% = $1,500.
4. Difference = $2,000 (old) - $1,500 (new) = $500 reduction in expense.
5. Revised Profit = $18,000 + $500 = $18,500.

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Islamic Studies QUESTION #242

Question 9

During whose rule the subcontinent had 25% of the world's total GDP?

Akbar Azam
Shah Jahan
Aurangzeb Alamgir✔️
None of these

Correct Answer Logic:

Under Aurangzeb, the Mughal Empire became the world's largest economy.

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Chemistry QUESTION #7412

Question 10

Which of the following lanthanoid ions is diamagnetic (second instance question — verifying Yb)? [Which of the following orders of ionic radii is correctly represented?]

$\text{H}^- > \text{H}^+ > \text{H}$
$\text{Na}^+ < \text{F}^- < \text{O}^{2-}$✔️
$\text{F}^- > \text{O}^{2-} > \text{Na}^+$
$\text{Al}^{3+} > \text{Mg}^{2+} > \text{N}^{3-}$

Correct Answer Logic:

Ionic radii comparison:
Na⁺, F⁻, O²⁻ are isoelectronic (10 electrons). Increasing radius means decreasing nuclear charge:

Na⁺: Z=11 → smallest
F⁻: Z=9
O²⁻: Z=8 → largest

So: Na⁺ < F⁻ < O²⁻ ✓

Option (1) is wrong: H has 1 proton; H⁻ is larger (more electron repulsion) and H⁺ has no electron at all (just a proton, ~10⁻¹⁵ m). Option (4) is wrong as N³⁻ >> Al³⁺ in size.

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MCQs Section QUESTION #4841

Question 11

Pick the word nearly similar in meaning to "DENOUEMENT"

Denunciation
Dormancy
Termination✔️
Explanation

Correct Answer Logic:

Denouement refers to the final resolution or conclusion of a plot or sequence of events, especially in a literary work. Termination (ending/conclusion) is closest in meaning.

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Education QUESTION #1484

Question 12

In Pragmatism, the universe is described as:

Static and permanent
Dynamic and evolving✔️
Spiritual and divine
Material and fixed

Correct Answer Logic:

Pragmatism describes the universe as dynamic and evolving. Its key idea is that things change and nothing is permanent. Its originators include Pierce and Dewey.

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Electrical Engineering QUESTION #2193

Question 13

In a CMOS inverter with $V_{DD} = 3.3\,\text{V}$, NMOS parameters $k_n = 2\,\text{mA/V}^2$, $V_{tn} = 0.5\,\text{V}$, and PMOS parameters $k_p = 1\,\text{mA/V}^2$, $|V_{tp}| = 0.5\,\text{V}$, the switching threshold $V_M$ (where $V_{out} = V_{in}$) is approximately:

$1.26\,\text{V}$✔️
$1.65\,\text{V}$
$0.99\,\text{V}$
$2.00\,\text{V}$

Correct Answer Logic:

$V_M = \frac{V_{tn}+\sqrt{k_p/k_n}(V_{DD}-|V_{tp}|)}{1+\sqrt{k_p/k_n}} = \frac{0.5+\sqrt{0.5}(2.8)}{1+\sqrt{0.5}} = \frac{0.5+1.980}{1.707} = \frac{2.480}{1.707} \approx 1.26\,\text{V}$. The threshold is below $V_{DD}/2 = 1.65\,\text{V}$ because $k_p < k_n$.

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Dairy Food Science and Technology QUESTION #5900

Question 14

Paneer is a heat-acid coagulated cheese. The coagulating agents most commonly used include:

Rennet (chymosin)
Citric acid, lactic acid, or acetic acid at $70\text{–}90^{\circ}\text{C}$✔️
Calcium chloride alone
Microbial lipase

Correct Answer Logic:

Paneer is made by heating milk to $70\text{–}90^{\circ}\text{C}$ and adding food-grade acids (citric acid $1\text{–}2\%$, lactic acid, or vinegar). The combination of heat denaturation of whey proteins and acid-induced casein coagulation ($\text{pH}\approx 5.4\text{–}5.8$) produces a firm, non-melting curd.

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Statistics QUESTION #1997

Question 15

Using moments $\mu_1' = -0.35$, $\mu_2' = 2.09$ about $a = 16$, the variance $\mu_2$ (second central moment) of the distribution equals:

2.09
1.9675✔️
2.2125
1.7

Correct Answer Logic:

Variance $\mu_2 = \mu_2' - (\mu_1')^2 = 2.09 - (-0.35)^2 = 2.09 - 0.1225 = 1.9675$. The central moment is obtained by subtracting the squared first raw moment from the second raw moment.

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Mathematics QUESTION #1263

Question 16

Using the epsilon-delta definition, $\lim_{x\to 2}\dfrac{x^3-4}{x^2+1}$ equals:

$\dfrac{2}{5}$
$\dfrac{4}{5}$✔️
$\dfrac{8}{5}$
$1$

Correct Answer Logic:

Direct substitution: $\dfrac{(2)^3-4}{(2)^2+1}=\dfrac{8-4}{4+1}=\dfrac{4}{5}$. The function is continuous at $x=2$, so the limit equals the function value.

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Civil Procedure QUESTION #3729

Question 17

A man is walking down the street when a stranger points a gun at him and says, 'Go into that bank and steal $\text{\$1,000}$, or I will kill you right now.' The man does it. He is caught and charged with robbery. What is his best defense?

Entrapment.
Duress.✔️
Necessity.
Involuntary Intoxication.

Correct Answer Logic:

Duress is a defense to a crime (other than intentional homicide) if the defendant performed the act because they were threatened with imminent death or serious bodily injury.

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Accounting & Finance QUESTION #6130

Question 18

A trader sold goods worth $6,600 on 31 March 2025 but did not produce the invoice until 3 days later. The sale should be recorded in the year ended 31 March 2025. Which accounting concept applies?

Consistency
Prudence
Realisation

1 and 2
2 and 3
2 only
3 only✔️

Correct Answer Logic:

Option D (3 only) is correct.

The realisation concept states revenue is recognised when earned (goods transferred and risks/rewards pass), not when the invoice is raised. The sale was complete on 31 March, so it belongs in that year.

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Civil Procedure QUESTION #3718

Question 19

A tenant signs a lease that says 'No Pets.' The landlord sees the tenant has a cat and says, 'That's a nice cat, don't worry about the rule.' Six months later, the landlord tries to evict the tenant for having the cat. Which doctrine protects the tenant?

The Parol Evidence Rule.
Waiver or Promissory Estoppel.✔️
Unconscionability.
The Statute of Frauds.

Correct Answer Logic:

By stating the tenant shouldn't worry about the rule and allowing the cat for six months, the landlord has likely waived the right to enforce the 'no pets' clause, or the tenant has a claim under promissory estoppel for relying on the landlord's statement.

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Boilers Mechanical Engineering QUESTION #4039

Question 20

'Hardness' in water is caused by salts of:

Sodium and Potassium
Calcium and Magnesium✔️
Iron and Copper
Gold and Silver

Correct Answer Logic:

These salts form the hard scale that ruins boiler efficiency.

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