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Physics QUESTION #7095

Question 1

A projectile trajectory is $y = \alpha x - \beta x^2$. Find the angle of projection and max height $H$.

$tan^{-1}\alpha$, $\frac{4\alpha^{2}}{\beta}$
$tan^{-1}\beta$, $\frac{\alpha^{2}}{2\beta}$
$tan^{-1}(\frac{\beta}{\alpha})$, $\frac{\alpha^{2}}{\beta}$
$tan^{-1}\alpha$, $\frac{\alpha^{2}}{4\beta}$✔️

Correct Answer Logic:

Compare $y = \alpha x - \beta x^2$ with $y = x \tan\theta - \frac{gx^2}{2u^2 \cos^2\theta}$.

$\tan\theta = \alpha \implies \theta = \tan^{-1}\alpha$.
Max height occurs at $x = \frac{\alpha}{2\beta}$ (where $dy/dx = 0$).
$H = \alpha(\frac{\alpha}{2\beta}) - \beta(\frac{\alpha}{2\beta})^2 = \frac{\alpha^2}{2\beta} - \frac{\alpha^2}{4\beta} = \frac{\alpha^2}{4\beta}$.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3166

Question 2

'Oedema' is the medical term for:

Muscle wasting
Swelling caused by excess fluid in tissues✔️
Loss of memory
Brittle bones

Correct Answer Logic:

Edema often occurs in the legs, ankles, and feet.

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English QUESTION #8501

Question 3

The antonym of 'INDOLENT' is:

Desirable
Adequate
Indignant
Energetic✔️

Correct Answer Logic:

Indolent means lazy; opposite is energetic.

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Physical Education QUESTION #6808

Question 4

Which of the following best describes the influence of 'Humanism' on physical culture?

It emphasized the dignity of man and the development of the 'whole person'✔️
It advocated for the replacement of human teachers with machines
It promoted the idea that humans are naturally lazy and require coercion
It focused exclusively on the spiritual afterlife

Correct Answer Logic:

Humanism during the Renaissance revived the interest in physical education as essential for human dignity and holistic development.

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Mathematics QUESTION #11143

Question 5

The Cauchy-Riemann equations in polar form are:

$\dfrac{\partial u}{\partial r} = \dfrac{1}{r}\dfrac{\partial v}{\partial \theta},\quad \dfrac{\partial v}{\partial r} = \dfrac{-1}{r}\dfrac{\partial u}{\partial \theta}$✔️
$\dfrac{\partial u}{\partial r} = \dfrac{-1}{r}\dfrac{\partial v}{\partial \theta},\quad \dfrac{\partial v}{\partial \theta} = \dfrac{-1}{r}\dfrac{\partial u}{\partial \theta}$
$\dfrac{\partial u}{\partial r} = \dfrac{-1}{r}\dfrac{\partial v}{\partial \theta},\quad \dfrac{\partial v}{\partial r} = \dfrac{-1}{r}\dfrac{\partial u}{\partial \theta}$
$\dfrac{\partial u}{\partial r} = \dfrac{1}{r}\dfrac{\partial v}{\partial \theta},\quad \dfrac{\partial v}{\partial r} = \dfrac{1}{r}\dfrac{\partial u}{\partial \theta}$

Correct Answer Logic:

The Cauchy-Riemann equations in polar coordinates $(r,\theta)$ are: $\dfrac{\partial u}{\partial r} = \dfrac{1}{r}\dfrac{\partial v}{\partial\theta}$ and $\dfrac{\partial v}{\partial r} = -\dfrac{1}{r}\dfrac{\partial u}{\partial\theta}$. These are derived by substituting $x = r\cos\theta$, $y = r\sin\theta$ into the Cartesian C-R equations $u_x = v_y$, $u_y = -v_x$.

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English QUESTION #2769

Question 6

What does the idiom 'SPILL THE BEANS' mean? (Note: An idiom is a phrase with a figurative meaning different from its literal meaning)

To cook a meal
To make a mess
To reveal a secret✔️
To waste food

Correct Answer Logic:

'Spill the beans' is an idiom meaning to reveal secret or confidential information, usually by accident. Example: 'Don't spill the beans about the surprise party!'

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Education QUESTION #7575

Question 7

Ethics (study of morality) and aesthetics (study of beauty) are components of which branch of philosophy?

Cosmology
Ontology
Epistemology
Axiology✔️

Correct Answer Logic:

Axiology is the branch of philosophy concerned with values, including ethics (moral values) and aesthetics (beauty and artistic values).

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Maths QUESTION #2889

Question 8

What is the value of $x$ if $\frac{x}{4} + 5 = 8$?

12✔️
4
3
7

Correct Answer Logic:

$x/4 = 3 \implies x = 3 \times 4 = 12$.

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The Constitution of Pakistan QUESTION #9367

Question 9

Article 25A imposes a duty on the State to provide free and compulsory education. What is the age range for children covered by this Article?

Three to fourteen years
Five to sixteen years✔️
Six to fourteen years
Four to eighteen years

Correct Answer Logic:

Article 25A, inserted by the 18th Amendment 2010, provides: 'The State shall provide free and compulsory education to all children of the age of five to sixteen years.' This is a constitutional right to education, making it enforceable, unlike the Principles of Policy.

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Logical Reasoning QUESTION #3957

Question 10

In the hierarchy of land animals, the size of the _____ is surpassed _____.

whale is only the✔️
only the whale is
is the whale only
only whale is the

Correct Answer Logic:

1

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Pakistan Affairs QUESTION #616

Question 11

How many seats are reserved for women in the National Assembly of Pakistan?

40
50
60✔️
None of these

Correct Answer Logic:

There are 60 seats reserved for women in the National Assembly .

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Accounting & Finance QUESTION #6176

Question 12

If you invest $1,000 today at a 10% interest rate with 'Continuous Compounding', what is the formula to find the value after 5 years?

$1,000 \times (1.10)^5$
$1,000 \times e^{0.10 \times 5}$✔️
$1,000 \times (1 + 0.10/12)^{60}$
$1,000 + (1,000 \times 0.10 \times 5)$

Correct Answer Logic:

Lesson 04 specifies that for continuous compounding, $FV = PV \times e^{i \times n}$.

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Civil / Architecture QUESTION #2342

Question 13

In the ACI Direct Design Method for flat slabs, the total factored static moment $M_o$ for a panel with factored load $w_u$ per unit area, transverse span $l_2$, and clear span $l_n$ is:

$M_o = \dfrac{w_u l_2 l_n^2}{12}$
$M_o = \dfrac{w_u l_1 l_n^2}{8}$
$M_o = \dfrac{w_u l_2 l_n^2}{8}$✔️
$M_o = \dfrac{w_u l_2^2 l_n}{8}$

Correct Answer Logic:

Per ACI 318, $M_o = \dfrac{w_u l_2 l_n^2}{8}$ where $l_2$ is the panel width transverse to the analysis direction and $l_n$ is the clear span. $M_o$ is then split between positive and negative moments (typically 65% negative, 35% positive for interior spans) and further distributed between column and middle strips.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3147

Question 14

The 'Retina' contains photoreceptor cells known as:

Iris and Pupil
Rods and Cones✔️
Lens and Cornea
Sclera and Choroid

Correct Answer Logic:

Rods detect light/dark; Cones detect color.

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General Knowledge QUESTION #4825

Question 15

The headquarters of the International Red Cross are located in which city?

London
New York
Berlin
Geneva✔️

Correct Answer Logic:

The International Committee of the Red Cross (ICRC) is headquartered in Geneva, Switzerland. Geneva is also home to many other international organizations.

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Ability / HR / Governance / Special Education QUESTION #1803

Question 16

Rule 35 requires procuring agencies to announce the final bid evaluation report at least how many days prior to the award of a procurement contract?

Seven days
Ten days
Fifteen days✔️
Twenty-one days

Correct Answer Logic:

Rule 35 (as substituted via S.R.O. 834(I)/2021) mandates that the procuring agency announce the result of bid evaluation in the form of a final evaluation report, with justification for acceptance or rejection, at least fifteen days prior to awarding the procurement contract.

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Library Sciences QUESTION #1540

Question 17

Massis (2003) emphasizes that the practical library manager must treat public relations primarily as:

A one-time activity during library anniversary events
An ongoing, strategic effort to communicate the library's value to its community and stakeholders✔️
A function exclusively handled by the parent institution's PR department
A tool only needed when the library faces budget cuts

Correct Answer Logic:

Massis (2003) in 'The Practical Library Manager' stresses that public relations must be a continuous, proactive strategy — not a reactive or occasional activity — to consistently demonstrate the library's value, build community support, and justify resource allocation.

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Information Technology QUESTION #1135

Question 18

Which mechanism allows a device to inform the CPU that it is ready for data transfer?

Polling
Interrupt✔️
DMA
None of these

Correct Answer Logic:

An interrupt is a signal sent by hardware to the CPU to request immediate attention, allowing the CPU to perform other tasks until the device is ready.

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Psychology QUESTION #9754

Question 19

According to Maslow, can a person lacking a job, friends, and a home still achieve self-actualization?

100% yes
100% No✔️
None of these
It depends

Correct Answer Logic:

According to Maslow's hierarchy of needs, self-actualization can only be reached after lower needs (physiological, safety, belonging, esteem) are met. A person lacking job, friends, and home has unmet basic needs, making self-actualization impossible under his model.

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Math Physics Chemistry Biology QUESTION #11417

Question 20

First law of thermodynamics is based on:

Law of conservation of momentum
Law of conservation of mass
Law of conservation of energy✔️
Law of conservation of charge

Correct Answer Logic:

The First Law of Thermodynamics is based on the law of conservation of energy: energy can neither be created nor destroyed, only converted from one form to another. It states that the change in internal energy of a system equals the heat added to the system minus the work done by the system: $\Delta U = Q - W$.

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