Reading Mode - Questions

Total Distance $D = H + 2e^2H + 2e^4H... = H(\frac{1+e^2}{1-e^2})$ where $e^2 = 0.81$.
Total Time $T = \sqrt{\frac{2H}{g}} + 2e\sqrt{\frac{2H}{g}}... = \sqrt{\frac{2H}{g}}(\frac{1+e}{1-e})$.
With $H=5, g=10, e=0.9$, average speed results in $2.50\text{ ms}^{-1}$.

Uploaded by: Fani Warraich

Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3002

Question 2164

In an 'Oil-in-Water' (O/W) emulsion, the 'Oil' is the:

Continuous phase
Dispersed phase✔️
Emulsifying agent
Solvent

Correct Answer Logic:

In O/W, oil droplets are dispersed throughout the water (continuous phase).

Uploaded by: Fani Warraich

Ability / HR / Governance / Special Education QUESTION #1817

Question 2165

Under Rule 45(2), the defect liability certificate must be issued within how many days of the expiry of the defect liability or maintenance period, and the final bill must be paid within how many days thereafter to close the contract?

Fifteen days; thirty days
Thirty days; sixty days✔️
Thirty days; thirty days
Forty-five days; ninety days

Correct Answer Logic:

Rule 45(2) specifies that the defect liability certificate shall be issued within thirty days of the expiry of the defect liability period. Except for unsettled claims subject to arbitration, the final bill shall be paid within the time given in the conditions of contract, not exceeding sixty days, to close the contract for final audit.

Uploaded by: Fani Warraich

Education QUESTION #6711

Question 2166

In differentiated instruction, 'ability diversity' refers PRIMARILY to:

Different IQ levels among students✔️
Variations in exceptionality across intellectual
communicative
sensory

Correct Answer Logic:

and physical dimensions

Uploaded by: Fani Warraich

Mathematics QUESTION #1280

Question 2167

If $w=f(x^2+y^2)$, then the expression $y\dfrac{\partial w}{\partial x}-x\dfrac{\partial w}{\partial y}$ equals:

1
$2xy$
$f'(x^2+y^2)$

Correct Answer Logic:

Let $t=x^2+y^2$. Then $\dfrac{\partial w}{\partial x}=f'(t)\cdot2x$ and $\dfrac{\partial w}{\partial y}=f'(t)\cdot2y$. So: $y\dfrac{\partial w}{\partial x}-x\dfrac{\partial w}{\partial y}=y\cdot2xf'(t)-x\cdot2yf'(t)=2xyf'(t)-2xyf'(t)=0$.

Uploaded by: Fani Warraich

Math Physics Chemistry Biology QUESTION #751

Question 2168

In 92U235 the neutron to nucleon ratio is:

143/235✔️
145/235
235/143
92/235

Correct Answer Logic:

Number of neutrons = 235 - 92 = 143. Nucleon number = 235. Ratio = 143/235.

Uploaded by: Fani Warraich

Pharmacokinetics and Pharmacodynamics QUESTION #3837

Question 2169

A $2$ g vial is added to $500$ mL IV fluid administered at $125$ mL/hour. Assuming a constant infusion rate, what dose of cefalotin does the patient receive per minute?

$8.33$ mg✔️
$83.3$ mg
$500$ mg
$833$ mg

Correct Answer Logic:

Concentration $= \dfrac{2000\ \text{mg}}{500\ \text{mL}} = 4\ \text{mg/mL}$. Rate $= \dfrac{125\ \text{mL/hr}}{60} = 2.083\ \text{mL/min}$. Dose/min $= 2.083 \times 4 = 8.33\ \text{mg/min}$.

Uploaded by: Fani Warraich

Mathematics QUESTION #1302

Question 2170

For the power series solution of $(x^2+1)y''+xy'-y=0$, we assume $y=\sum_{n=0}^\infty a_n x^n$. This ODE has an ordinary point at $x=0$ because:

The coefficients are all constants
All singular points are at $x=\pm i$, not at $x=0$✔️
The equation is linear
The ODE is homogeneous

Correct Answer Logic:

Ordinary points are where $P(x)=1+x^2\neq0$. The singular points are where $P(x)=0\Rightarrow x^2+1=0\Rightarrow x=\pm i$. Since $x=0$ is not a singular point, it is an ordinary point, and a power series solution $\sum a_n x^n$ converges in a neighbourhood of $x=0$.

Uploaded by: Fani Warraich

Mathematics QUESTION #4154

Question 2171

For a uniform lamina in the shape of a triangle with vertices $(0,0)$, $(a,0)$, $(0,b)$, what is the $y$-coordinate of the center of mass?

$\frac{b}{2}$
$\frac{b}{3}$✔️
$\frac{2b}{3}$
$\frac{b}{4}$

Correct Answer Logic:

For a triangular lamina, center of mass is at the centroid: $(\frac{a}{3}, \frac{b}{3})$. So $\bar{y} = \frac{b}{3}$.

Uploaded by: Fani Warraich

Pakistan Affairs QUESTION #617

Question 2172

On what ground are the seats in the Senate allocated to the provinces?

Population
Area
Resources
None of these✔️

Correct Answer Logic:

Senate seats are allocated on the basis of provincial equality, not population or area.

Uploaded by: Fani Warraich

Statistics QUESTION #1969

Question 2173

In the sampling distribution of a statistic, the total sum of all frequencies equals:

Sample size $(n)$
Population size $(N)$
Number of all possible samples✔️
Sum of all X values

Correct Answer Logic:

The frequency distribution of a sampling statistic lists all possible samples. The sum of frequencies equals the total number of possible samples that can be drawn from the population.

Uploaded by: Fani Warraich

Mathematics QUESTION #4109

Question 2174

Let $\mathbb{Q}^+$ be the set of positive rational numbers with operation $a * b = \frac{ab}{2}$. What is the identity element $e$ such that $a * e = a$ for all $a \in \mathbb{Q}^+$?

$e = 0$
$e = 1$
$e = 2$✔️
$e = \frac{1}{2}$

Correct Answer Logic:

For identity: $a * e = \frac{ae}{2} = a$, so $ae = 2a$, thus $e = 2$.

Uploaded by: Fani Warraich

Disaster Management QUESTION #6528

Question 2175

What is the fundamental flaw in disaster recovery that only focuses on 'building back'?

It takes too long
It fails to address underlying vulnerabilities and may recreate pre-disaster risks✔️
It costs more than resilient reconstruction
It requires international assistance

Correct Answer Logic:

Section 10 emphasizes the 'Build Back Better' principle, which integrates risk reduction into reconstruction. Simply rebuilding to previous standards recreates vulnerabilities, whereas resilient reconstruction addresses root causes, incorporates hazard-resistant designs, and reduces future risks.

Uploaded by: Fani Warraich

Dairy Food Science and Technology QUESTION #5902

Question 2176

The phenomenon of lactose crystallization in concentrated milk products causing a gritty texture is called:

Syneresis
Maillard browning
Sandiness due to $\alpha$-lactose monohydrate crystal formation (crystals $>30\;\mu\text{m}$)✔️
Creaming

Correct Answer Logic:

When lactose supersaturation occurs in condensed or sweetened condensed milk or ice cream, large $\alpha$-lactose monohydrate crystals ($>30\;\mu\text{m}$) form causing sandiness or grittiness. Control involves rapid cooling, seeding with fine lactose crystals, or use of lactase.

Uploaded by: Fani Warraich

Physics QUESTION #983

Question 2177

A small rigid spherical ball of mass $M$ is dropped in a long vertical tube containing glycerine. The velocity becomes constant after some time. If the density of glycerine is half the density of the ball, then the viscous force acting on the ball is:

2Mg
Mg
$\dfrac{3}{2}Mg$
$\dfrac{Mg}{2}$✔️

Correct Answer Logic:

At terminal velocity: Viscous force $= W - F_b$. Buoyancy $F_b = \rho_{glycerine} \cdot V \cdot g = \frac{1}{2}\rho_{ball} \cdot V \cdot g = \frac{Mg}{2}$. So Viscous force $= Mg - \frac{Mg}{2} = \frac{Mg}{2}$.

Uploaded by: Fani Warraich

Mathematics QUESTION #4103

Question 2178

If $T:\mathbb{R}^3\to\mathbb{R}^2$ is a linear transformation with $\text{rank}(T)=2$, then by the Rank-Nullity Theorem, the dimension of the kernel is:

$0$
$1$✔️
$2$
$3$

Correct Answer Logic:

Rank-Nullity Theorem: $\dim(\ker T)+\text{rank}(T)=\dim(\mathbb{R}^3)=3$. Given $\text{rank}(T)=2$: $\dim(\ker T)=3-2=1$.

Uploaded by: Fani Warraich

Chemistry QUESTION #440

Question 2179

Which of the following formation is endothermic reaction?

2H?(g) + O?(g) ? 2H?O(l)
C(s) + O?(g) ? CO?(g)
N?(g) + O?(g) ? N?O?(g)✔️
None of these

Correct Answer Logic:

Formation of N?O? is endothermic

Uploaded by: Fani Warraich

Library Sciences QUESTION #1557

Question 2180

Which of the following reference source types would a librarian consult to identify all works published within Pakistan during a given year?

A union catalogue
A trade bibliography
A national bibliography✔️
A subject index

Correct Answer Logic:

A national bibliography systematically records all works published within a country during a specified period. In Pakistan, this function is partially served by the National Library of Pakistan. It is distinct from a trade bibliography (which lists commercially available items) or a subject index.

Uploaded by: Fani Warraich

More Options

Suggest a Question