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Math Physics Chemistry Biology QUESTION #4328

Which statement best compares cell division in prokaryotic and eukaryotic cells?

Eukaryotes divide by budding; prokaryotes by mitosis
Eukaryotes use binary fission; prokaryotes by meiosis
Eukaryotes divide by mitosis; prokaryotes by binary fission✔️
Both use mitosis

Correct Answer Logic:

Prokaryotes divide by binary fission, a simpler process without a spindle. Eukaryotes undergo mitosis (somatic cells) or meiosis (sex cells), involving a spindle apparatus and nuclear envelope.

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Mathematics QUESTION #4160

Question 1002

For the heat equation $u_t = k u_{xx}$ on a rod of length $L$ with insulated ends ($u_x(0,t) = u_x(L,t) = 0$), what are the eigenfunctions?

$\sin(\frac{n\pi x}{L})$
$\cos(\frac{n\pi x}{L})$✔️
$e^{\frac{n\pi x}{L}}$
$\sin(\frac{(2n+1)\pi x}{2L})$

Correct Answer Logic:

Insulated ends (Neumann BCs) $u_x = 0$ at $x = 0, L$ give eigenfunctions $\cos(\frac{n\pi x}{L})$ for $n = 0, 1, 2, ...$

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English QUESTION #8569

Question 1003

What does the idiom 'to face the music' mean?

To be greeted rudely
To be offered warm hospitality
To be on the front seat in a concert
To bear the consequences✔️

Correct Answer Logic:

'Face the music' means to accept the unpleasant consequences.

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Mathematics QUESTION #6986

Question 1004

Five observations have mean $= 4$ and variance $= 5.2$. Three of the observations are $3, 4, 4$. Find the absolute difference between the remaining two observations.

7✔️
5
1
3

Correct Answer Logic:

Step 1 — Find the sum: $\sum x_i = 5\times4=20$. Known three: $3+4+4=11$. So $x_4+x_5=9$.

Step 2 — Find sum of squares: Variance $=\frac{\sum x_i^2}{n}-\bar{x}^2 \Rightarrow \frac{\sum x_i^2}{5}-16=5.2 \Rightarrow \sum x_i^2=106$.

Known: $3^2+4^2+4^2=9+16+16=41$. So $x_4^2+x_5^2=65$.

Step 3 — Solve: $x_4+x_5=9$ and $x_4^2+x_5^2=65$.

$(x_4+x_5)^2=81 \Rightarrow 2x_4x_5=81-65=16 \Rightarrow x_4x_5=8$.

$(x_4-x_5)^2=(x_4+x_5)^2-4x_4x_5=81-32=49$

$|x_4-x_5|=\mathbf{7}$

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General Abilities QUESTION #4516

Question 1005

Simplify: $\frac{3^8}{3^5}$

$3^{40}$
$3^3$✔️
$3^{13}$
$1$

Correct Answer Logic:

Using law of exponents: $\frac{b^m}{b^n} = b^{m-n}$. So $\frac{3^8}{3^5} = 3^{8-5} = 3^3$

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3052

Question 1006

The abbreviation 'stat.' stands for:

In a state
Immediately✔️
Stationary
Standard

Correct Answer Logic:

'Statim' (stat.) means at once/immediately.

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Mathematics QUESTION #6982

Question 1007

Two cards are drawn one after another with replacement from a well-shuffled standard deck of 52 cards. Let $X$ be the number of aces obtained. Find $P(X=1)+P(X=2)$.

$\dfrac{49}{169}$
$\dfrac{52}{169}$
$\dfrac{24}{169}$
$\dfrac{25}{169}$✔️

Correct Answer Logic:

$p=P(\text{ace})=\dfrac{4}{52}=\dfrac{1}{13}$, $q=\dfrac{12}{13}$. Binomial with $n=2$.

$P(X=1)=\binom{2}{1}\cdot\dfrac{1}{13}\cdot\dfrac{12}{13}=\dfrac{24}{169}$

$P(X=2)=\binom{2}{2}\cdot\left(\dfrac{1}{13}\right)^2=\dfrac{1}{169}$

$P(X=1)+P(X=2)=\dfrac{24}{169}+\dfrac{1}{169}=\dfrac{25}{169}$

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Boilers Mechanical Engineering QUESTION #2420

Question 1008

The thermal resistance for conduction through a plane wall of thickness $L$, area $A$, and thermal conductivity $k$ is:

$R_{th,cond} = kA/L$
$R_{th,cond} = L/(kA)$✔️
$R_{th,cond} = L \cdot k \cdot A$
$R_{th,cond} = 1/(hA)$

Correct Answer Logic:

By analogy with Ohm's law: $q=\Delta T/R_{th}$. For conduction: $R_{th,cond}=L/(kA)$ (K/W).

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Islamic Studies QUESTION #364

Question 1009

"Reconstruction of Religious Thought in Islam" was written by:

T.W. Arnold
Ameer Ali
Dr. Muhammad Iqbal✔️
None of these

Correct Answer Logic:

This book is a compilation of lectures delivered by Allama Muhammad Iqbal.

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Accounting & Finance QUESTION #9612

Question 1010

Under the accrual basis of accounting, an electricity bill for January is received on 15th February and paid on 25th February. In which month should this expense be recorded?

February, when the bill is received
February, when the bill is paid
January, when the benefit was consumed✔️
It may be recorded in either January or February at the entity's discretion

Correct Answer Logic:

Accrual accounting records expenses when incurred (i.e., when the benefit is consumed), not when cash is paid. Since electricity was consumed in January, the expense belongs to January. This is the core distinction between cash accounting and accrual accounting.

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English QUESTION #8381

Question 1011

Correct the sentence: 'I am tired as I am working since morning.'

was working
have been working✔️
I had been working
I will be working

Correct Answer Logic:

'Have been working' is present perfect continuous, correct for action starting in past and continuing.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3230

Question 1012

A 'Stroke' (Cerebrovascular Accident) is caused by:

Interrupted blood flow to the heart
Interrupted blood flow to the brain✔️
A broken bone
A stomach ulcer

Correct Answer Logic:

Ischemia or hemorrhage in the brain results in neurological deficits.

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Math Physics Chemistry Biology QUESTION #746

Question 1013

The force F experienced by a conductor of length L carrying current when placed in a uniform magnetic field B is:

F = B/iL
F = IL/B
F = BiL✔️
F = L x B/I

Correct Answer Logic:

The force on a current-carrying conductor in a magnetic field is F = BIL sinθ. For perpendicular field F = BiL.

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General Science and Ability QUESTION #198

Question 1014

In fiber structures, light is guided through the core due to total internal:

Reflection✔️
Refraction
Diffraction
None of these

Correct Answer Logic:

Fiber optics work based on Total Internal Reflection (TIR).

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Ability / HR / Governance / Special Education QUESTION #1934

Question 1015

Under Schedule VI which body/authority submits cases to the President for orders in his discretion?

All Federal Divisions for their respective subjects
Only the Cabinet Division (for appointment of caretaker PM) and the Parliamentary Affairs Division (for dissolution of National Assembly under Article 58(2))✔️
Only the Parliamentary Affairs Division
The Prime Minister on advice of the Cabinet

Correct Answer Logic:

Schedule VI (Rule 15-A(2)) lists only two categories of cases for the President's orders in his own discretion: (1) Appointment of Care-taker Prime Minister under Article 224(1A) — Cabinet Division; and (2) Dissolution of National Assembly under Article 58(2) — Parliamentary Affairs Division.

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