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Mathematics QUESTION #11197

$\mathbf{n}$
$-\mathbf{n}$✔️
$\mathbf{n}\times\mathbf{b}$
None of these

Correct Answer Logic:

By the Frenet frame: $\mathbf{b} = \mathbf{t}\times\mathbf{n}$. Therefore $\mathbf{t}\times\mathbf{b} = \mathbf{t}\times(\mathbf{t}\times\mathbf{n}) = (\mathbf{t}\cdot\mathbf{n})\mathbf{t} - (\mathbf{t}\cdot\mathbf{t})\mathbf{n} = 0 - \mathbf{n} = -\mathbf{n}$, since $\mathbf{t}\cdot\mathbf{n}=0$ (orthogonal) and $|\mathbf{t}|=1$.

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General Intelligence/Ability QUESTION #3977

Question 10562

Let $a$ be a multiple of $5$ and $b = 5a$. Which of the following could be the value of $a + b$? I. $60$ II. $100$ III. $150$

I only✔️
III only
I and III only
II and III only

Correct Answer Logic:

2

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Civil Engineering QUESTION #6653

Question 10563

What happens if a RC beam is 'Over-reinforced'?

The steel yields before the concrete crushes
The concrete crushes before the steel yields✔️
The beam will never fail
The deflection will be very large before failure

Correct Answer Logic:

An over-reinforced beam fails suddenly (brittle failure) because the concrete reaches its compressive limit while the steel is still in the elastic range.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3274

Question 10564

The 'Germ Theory of Disease' was primarily established by the work of:

Pasteur and Koch✔️
Watson and Crick
Lister and Jenner
Linnaeus and Darwin

Correct Answer Logic:

Pasteur and Koch provided the scientific proof that specific microbes cause specific diseases.

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Chemistry QUESTION #4354

Question 10565

Consider the balanced chemical equation: $2H_2 + O_2 \rightarrow 2H_2O$. If $4\ g$ of $H_2$ reacts with $32\ g$ of $O_2$ to produce $28\ g$ of $H_2O$, what is the percentage yield of the reaction? (Molar mass of $H_2 = 2\ g/mol$, $O_2 = 32\ g/mol$, $H_2O = 18\ g/mol$)

63.6%
77.8%✔️
87.5%
92.5%

Correct Answer Logic:

Moles of $H_2 = \frac{4}{2} = 2\ mol$. Theoretical yield of $H_2O = 2 \times 18 = 36\ g$. $\% yield = \frac{28}{36} \times 100 = 77.8\%$.

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Dairy Food Science and Technology QUESTION #5940

Question 10566

The rennet coagulation time (RCT) of milk is affected by all of the following EXCEPT:

Temperature (optimum $\approx 30\text{–}35^{\circ}\text{C}$ for chymosin)
$\text{pH}$ (optimum $\approx 6.0\text{–}6.2$; lower $\text{pH}$ accelerates coagulation)
Calcium ion concentration ($\text{Ca}^{2+}$) essential for micelle bridging
The color of the milk processing vessel✔️

Correct Answer Logic:

RCT is influenced by temperature (optimum $30\text{–}35^{\circ}\text{C}$); $\text{pH}$ (lower $\text{pH}$ increases $\text{Ca}^{2+}$ activity and promotes aggregation); and $\text{Ca}^{2+}$ concentration. Vessel color has no effect on enzymatic coagulation chemistry.

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Education QUESTION #6773

Question 10567

What is the fundamental difference between 'speed tests' and 'power tests' in terms of their design and the construct they measure?

Speed tests use harder items while power tests use easier items, measuring the same construct
Power tests have generous time limits and harder items, measuring maximum depth of knowledge; speed tests have strict time limits and easier items, measuring processing speed and efficiency✔️
Speed tests are used in CRT while power tests are used in NRT
Power tests are always essay-based while speed tests are always MCQ-based

Correct Answer Logic:

By definition: power tests use liberal time limits so virtually all examinees can attempt every item — items are difficult, measuring depth of knowledge. Speed tests use strict time limits that prevent completion — items are easy, measuring how quickly and accurately examinees can process and respond. They measure fundamentally different constructs.

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MBBS QUESTION #10243

Question 10568

A patient in early hypovolemic shock shows a fall in cardiac output. Baroreceptor reflex activation (from the carotid sinus and aortic arch) in response to this fall in blood pressure produces which autonomic response?

Decreased sympathetic outflow with increased vagal tone, producing bradycardia and vasodilation
Increased sympathetic outflow with decreased vagal tone, producing tachycardia and peripheral vasoconstriction✔️
No significant change in autonomic outflow
Selective activation of parasympathetic vasodilator fibers to skeletal muscle only

Correct Answer Logic:

A fall in arterial pressure reduces baroreceptor firing, which disinhibits the vasomotor center, resulting in increased sympathetic outflow (tachycardia, increased contractility, arteriolar and venous vasoconstriction) and reduced vagal tone — the compensatory response that helps maintain perfusion pressure in early hemorrhagic shock.

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Islamic Studies QUESTION #7917

Question 10569

Who accompanied the Holy Prophet (SAW) in the migration to Medina?

Hazrat Abu Bakr (RA)✔️
Hazrat Omar (RA)
Hazrat Ali (RA)
Hazrat Usman (RA)

Correct Answer Logic:

Hazrat Abu Bakr (RA) was the sole companion of the Prophet (PBUH) during the migration (Hijrah) to Medina in 622 CE. They hid in the Cave of Thawr for three days while Quraish searched for them. This companionship demonstrated Abu Bakr's unwavering faith and loyalty, earning him the title 'As-Siddiq' (the truthful).

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Mathematics QUESTION #4142

Question 10570

At the point $(0, b)$ on the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, what is the radius of curvature $\rho$?

$\frac{a^2}{b}$✔️
$\frac{b^2}{a}$
$\frac{a}{b}$
$\frac{b}{a}$

Correct Answer Logic:

For ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, radius of curvature at $(0,b)$ (vertex on minor axis) is $\rho = \frac{a^2}{b}$.

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Pharmacokinetics and Pharmacodynamics QUESTION #3833

Question 10571

A patient takes ferrous sulphate mixture $300\ \text{mg}/10\ \text{mL}$, dose $10$ mL three times daily. Given $\text{FeSO}_4 \cdot 7\text{H}_2\text{O}\ M_r = 278$ and $\text{Fe}\ M_r = 55.9$, what is the daily elemental iron intake?

$3.23$ mg
$17.1$ mg
$60.0$ mg
$181.0$ mg✔️

Correct Answer Logic:

Daily $\text{FeSO}_4 = 300\ \text{mg} \times 3 = 900\ \text{mg}$. Moles $= \dfrac{900}{278} = 3.237\ \text{mmol}$. Elemental Fe $= 3.237 \times 55.9 = 181\ \text{mg}$.

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Reading and Writing (Module-1) QUESTION #10442

Question 10572

Maria Sklodowska-Curie's ------- with radioactive materials became evident when she ------- isolated two previously unknown elements.

unfamiliarity . . accidentally
expertise . . methodically✔️
carelessness . . hastily
indifference . . randomly

Correct Answer Logic:

Her skill ('expertise') with radioactive materials is shown by how she 'methodically' isolated new elements.

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Islamic Studies QUESTION #7626

Question 10573

نبی کریم ﷺ کا آخری نکاح کس سے ہوا؟

حضرت میمو نہ رضی اللہ عنہا✔️
حضرت سودہ رضی اللہ عنہا
حضرت ام سلمہ رضی اللہ عنہا
حضرت صفیہ رضی اللہ عنہا

Correct Answer Logic:

No explanation provided for this question.

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Boilers Mechanical Engineering QUESTION #2384

Question 10574

The Routh-Hurwitz criterion for stability of a system with characteristic equation $D(s)=a_n s^n + a_{n-1}s^{n-1}+\cdots+a_0=0$ states:

All coefficients must be positive AND all elements in the first column of the Routh array must have the same sign✔️
Only the first and last coefficients must be positive
The determinant of the coefficient matrix must be positive
All coefficients must be equal

Correct Answer Logic:

Routh-Hurwitz criterion: (1) necessary condition: all coefficients $a_i>0$; (2) necessary and sufficient condition: all elements of the first column of the Routh array must be nonzero and have the same sign. The number of sign changes equals the number of poles in the right-half plane.

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English Literature QUESTION #10736

Question 10575

Choose the correct synonym of "Circumvent":

Satire
Sensuality
Avoid✔️
Reform

Correct Answer Logic:

Circumvent means to find a way around an obstacle or rule — to evade, bypass, or get around something cleverly. Its closest synonym from the options is Avoid. Examples: 'to circumvent the law' = to avoid or bypass the law. The word comes from Latin circumvenire — 'to come around.' It can also imply outwitting or outmanoeuvring an opponent.

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Aptitude QUESTION #11039

Question 10576

Which combination creates the highest visual contrast?

Red and Orange
Blue and Green
Black and White✔️
Yellow and Green

Correct Answer Logic:

Black and white provide the highest value contrast (light vs. dark), creating the strongest visual impact. This is why high-contrast designs are most legible.

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Reading and Writing (Module-1) QUESTION #5423

Question 10577

The secondhand clothing market generated nearly $30 billion globally in 2019. Expecting continued growth, some analysts ____ that revenues will more than double by 2028.

produced
denied
worried
predicted✔️

Correct Answer Logic:

The analysts are making a statement about future revenues, so "predicted" is most logical.

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Math Physics Chemistry Biology QUESTION #4226

Question 10578

The hormone, when overproduced can lead to hypercalcemia and stone formation is:

Insulin
Thyroxine
Parathyroid hormone✔️
Antidiuretic hormone

Correct Answer Logic:

Parathyroid hormone excess increases blood $\text{Ca}^{2+}$ leading to stones.

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Reading and Writing (Module-1) QUESTION #5392

Question 10579

The spacecraft OSIRIS-REx briefly made contact with the asteroid 101955 Bennu in 2020. NASA scientist Daniella DellaGiustina reports that despite facing the unexpected obstacle of a surface mostly covered in boulders, OSIRIS-REx successfully _______ a sample of the surface, gathering pieces of it to bring back to Earth. Which choice completes the text with the most logical and precise word or phrase?

attached
collected✔️
followed
replaced

Correct Answer Logic:

'Collected' means acquired and took away, which logically fits gathering pieces of the asteroid to bring to Earth.

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General Knowledge QUESTION #11490

Question 10580

Which key removes the character located directly to the right of the insertion point?

End
Backspace
Home
Delete✔️

Correct Answer Logic:

The Delete key removes the character to the right of the cursor (forward deletion). The Backspace key removes the character to the left (backward deletion). Ctrl+Delete deletes the word to the right; Ctrl+Backspace deletes the word to the left.

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