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Cysteine is an amino acid with the structure $HSCH_2CH(NH_2)COOH$ — it contains a free thiol (–SH) group. Cystine is formed by oxidative coupling of two cysteine molecules (disulphide bond, –S–S–). Methionine contains a thioether (–S–) group, not a free –SH. Cytosine is a nucleobase, not an amino acid.

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Mathematics QUESTION #6010

Question 5

Consider the differential equation $\dfrac{dy}{dx} + \dfrac{3}{\cos^2 x}\,y = \dfrac{1}{\cos^2 x}$, for $x\in\!\left(-\dfrac{\pi}{3},\dfrac{\pi}{3}\right)$. Given $y\!\left(\dfrac{\pi}{4}\right)=\dfrac{4}{3}$, find $y\!\left(-\dfrac{\pi}{4}\right)$.

$\dfrac{1}{3}+e^6$
$\dfrac{1}{3}$
$-\dfrac{4}{3}$
$\dfrac{1}{3}+e^3$✔️

Correct Answer Logic:

This is a linear ODE with $P = 3\sec^2 x$ and $Q = \sec^2 x$.

Integrating factor: $e^{\int 3\sec^2 x\,dx} = e^{3\tan x}$

$\frac{d}{dx}(ye^{3\tan x}) = \sec^2 x \cdot e^{3\tan x}$

Integrate: $ye^{3\tan x} = \frac{1}{3}e^{3\tan x} + C$

At $x=\pi/4$, $\tan(\pi/4)=1$, $y=4/3$: $\frac{4}{3}e^3 = \frac{1}{3}e^3 + C \Rightarrow C = e^3$

So $y = \frac{1}{3} + e^3 \cdot e^{-3\tan x}$

At $x=-\pi/4$, $\tan(-\pi/4)=-1$: $y = \frac{1}{3} + e^3 \cdot e^{3} = \frac{1}{3} + e^3$... wait: $e^{-3(-1)}=e^3$, so $y = \frac{1}{3}+e^3 \cdot e^3 = \frac{1}{3}+e^6$.

Correct: $y(-\pi/4) = \mathbf{\frac{1}{3}+e^6}$. So correct option index is 0.

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Chemistry QUESTION #7379

Question 6

In Bohr's atomic model, how are orbital radius $r$ and energy $E$ related to orbit number $n$?

$r \propto n^2$ and $E \propto \dfrac{1}{n^2}$✔️
$r \propto \dfrac{1}{n^2}$ and $E \propto n^2$
$r \propto \dfrac{1}{n}$ and $E \propto n$
$E \propto n^2$ and $r \propto n^2$

Correct Answer Logic:

Bohr's model relationships:
$r_n = a_0 \cdot \dfrac{n^2}{Z}$ → $r \propto n^2$

$E_n = -13.6 \cdot \dfrac{Z^2}{n^2}$ eV → $E \propto -\dfrac{1}{n^2}$

As orbit number increases, radius increases (electrons move farther out) while energy becomes less negative (electrons become less tightly bound). For hydrogen (Z=1): $r_1 = 0.529$ Å (Bohr radius).

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English Literature QUESTION #10728

Question 7

The collective name given to pre-Shakespearean playwrights like Marlowe, Kyd, Peele, and Greene is:

Romantic playwrights
University Wits✔️
Elizabethan dramatists
Court Playwrights

Correct Answer Logic:

The group of educated Elizabethan dramatists — including Christopher Marlowe, Robert Greene, John Lyly, Thomas Kyd, George Peele, Thomas Lodge, and Thomas Nashe — are collectively known as the University Wits. The name reflects that most were Oxford or Cambridge graduates ('wits' meaning clever men). They transformed English drama in the 1580s–90s, bridging the gap between medieval drama and Shakespeare.

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MCQs Section QUESTION #5229

Question 8

'A man is known by the company he keeps' کے درست مطلب کا انتخاب کیجیے۔

آدمی اپنے دوستوں سے پہچانا جاتا ہے✔️
آدمی اپنے ماحول سے پہچانا جاتا ہے
آدمی اپنے کاروبار سے جانا جاتا ہے
آدمی اپنے کام سے جانا جاتا ہے

Correct Answer Logic:

A man is known by the company he keeps کا درست مطلب ہے: آدمی اپنے دوستوں سے پہچانا جاتا ہے۔

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Islamic Studies QUESTION #222

Question 9

Which movement occurred in the House of Wisdom (Bayt al-Hikmah)?

Translation of Greek/Persian texts✔️
Translation of exegeses
Translation of Hindu astronomy
None of these

Correct Answer Logic:

Scholars translated vast works of philosophy, science, and medicine into Arabic.

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General Knowledge QUESTION #2617

Question 10

The BIOS (Basic Input Output Services) performs which of the following functions when a computer is first switched on?

It connects the computer to the internet automatically
It converts electrical power from the wall outlet into computer-usable power
It helps initialize the hardware in the computer and gets the operating system up and running✔️
It stores all user documents and settings permanently

Correct Answer Logic:

BIOS (Basic Input Output Services) is software stored on a ROM chip that helps initialize the hardware in our computer and gets our operating system up and running. It is the first software that runs when you press the power button.

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Maths QUESTION #4555

Question 11

Simplify $\frac{12}{18}$ to lowest terms:

$\frac{6}{9}$
$\frac{4}{6}$
$\frac{2}{3}$✔️
$\frac{1}{2}$

Correct Answer Logic:

GCD of $12$ and $18$ is $6$. So $\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}$

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Electrical Engineering QUESTION #2137

Question 12

In a balanced three-phase star-connected system, what is the phase relationship between the line voltage $V_L$ and its corresponding phase voltage $V_{ph}$?

$V_L$ leads $V_{ph}$ by $30^\circ$✔️
$V_L$ lags $V_{ph}$ by $30^\circ$
$V_L$ and $V_{ph}$ are in phase
$V_L$ leads $V_{ph}$ by $120^\circ$

Correct Answer Logic:

In a star (Wye) connection, the line voltage is $\sqrt{3}$ times the phase voltage and leads the phase voltage by $30^\circ$.

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General Knowledge QUESTION #8645

Question 13

Which component of blood is responsible for the safety mechanism (clotting)?

White Blood Cells
Red Blood Cells
Lymphatic system
Blood platelets✔️

Correct Answer Logic:

Platelets are responsible for blood clotting.

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Accounting & Finance QUESTION #6146

Question 14

Who are the internal users of financial information?

Bank
Directors
Employees
Potential investors

1 and 2
2 and 3✔️
2 and 4
3 and 4

Correct Answer Logic:

Option B (2 and 3) is correct.

Directors — manage the company, internal users.
Employees — employed by the business, internal users.

Banks and potential investors are external users.

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Boilers Mechanical Engineering QUESTION #4044

Question 15

'Firebricks' are categorized as:

Insulators
Refractories✔️
Conductors
Fuels

Correct Answer Logic:

They line the furnace to protect the outer steel structure.

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Math Physics Chemistry Biology QUESTION #4239

Question 16

How do the kidneys contribute to maintain normal blood calcium level?

By storing excess calcium
By reabsorbing calcium and activating vitamin D✔️
By secreting calcium directly into the blood
By converting calcium into urea for excretion

Correct Answer Logic:

Kidneys reabsorb $\text{Ca}^{2+}$ and activate vitamin D.

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Civil Procedure QUESTION #3690

Question 17

A plaintiff files a complaint in federal court. 15 days after being served, the defendant files a motion to dismiss for failure to state a claim under Rule 12(b)(6). While this motion is pending, the plaintiff wants to amend the complaint to fix the defects. Does the plaintiff need leave of court?

Yes, once a Rule 12 motion is filed, the right to amend as a matter of course is lost.
No, a party may amend its pleading once as a matter of course within 21 days after service of a motion under Rule 12(b).✔️
Yes, unless the defendant stipulates to the amendment in writing.
No, a plaintiff has an absolute right to amend up until the trial begins.

Correct Answer Logic:

Rule 15(a)(1)(B) allows a party to amend its pleading once as a matter of course within 21 days after service of a responsive pleading or 21 days after service of a motion under Rule 12(b), (e), or (f), whichever is earlier.

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Pharmacology and Toxicology QUESTION #3855

Question 18

Which of the following substances does NOT function as a neurotransmitter within the central nervous system?

Serotonin
Noradrenaline
Dopamine
Cyclic adenosine phosphate✔️

Correct Answer Logic:

Cyclic AMP (cAMP) is a second messenger involved in intracellular signal transduction but is not itself a neurotransmitter.

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Physics QUESTION #7017

Question 19

A mass of $10\text{ kg}$ is suspended vertically by a rope. A horizontal force is applied to the rope at a specific point, causing the rope at the ceiling to deviate by an angle of $45^\circ$. If the system is in equilibrium, what is the magnitude of the horizontal force? (Assume $g = 10\text{ ms}^{-2}$)

$200\text{ N}$
$140\text{ N}$
$70\text{ N}$
$100\text{ N}$✔️

Correct Answer Logic:

At equilibrium, the horizontal component of the tension $T \sin(45^\circ)$ equals the applied force $F$, and the vertical component $T \cos(45^\circ)$ equals the weight $mg$. Dividing the two equations gives $F = mg \tan(45^\circ)$. Since $\tan(45^\circ) = 1$ and $mg = 10 \times 10 = 100$, the force $F = 100\text{ N}$.

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Physical Education QUESTION #6799

Question 20

How did the Enlightenment period fundamentally change the justification for Physical Education compared to the Middle Ages?

It focused on preparation for feudal warfare
It emphasized naturalism and the physiological necessity of movement for health and reason✔️
It viewed physical activity as a distraction from spiritual salvation
It prioritized aesthetic beauty over functional health

Correct Answer Logic:

Enlightenment thinkers like Rousseau argued that physical activity was a natural necessity for developing a child's reasoning and overall health.

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