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Chemistry QUESTION #5548

Arrange the ionic radii of $N^{3-}$, $O^{2-}$, and $F^-$ in correct increasing order (in Å):

1.36, 1.40 and 1.71 respectively
1.36, 1.71 and 1.40 respectively
1.71, 1.40 and 1.36 respectively✔️
1.71, 1.36 and 1.40 respectively

Correct Answer Logic:

All three ions are isoelectronic (10 electrons each). As nuclear charge increases ($N(7) < O(8) < F(9)$), the electrons are pulled closer, so ionic radius decreases. Therefore: $r(N^{3-}) > r(O^{2-}) > r(F^-)$, i.e., 1.71 Å > 1.40 Å > 1.36 Å.

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Dairy Food Science and Technology QUESTION #5928

Question 5762

Casein micelles in milk are stabilized against aggregation primarily by:

Van der Waals attraction forces
Steric stabilization by the $\kappa$-casein 'hairy layer' and electrostatic repulsion (negative surface charge, zeta potential $\approx -20\;\text{mV}$)✔️
Hydrophobic bonding to fat globule membranes
Disulfide bonds between $\beta$-casein molecules

Correct Answer Logic:

Casein micelle stability depends on: steric repulsion from the protruding GMP portion of $\kappa$-casein on the micelle surface; and electrostatic repulsion due to negative surface charge (zeta potential $\approx -20\;\text{mV}$ at milk $\text{pH}$). Removal of either causes aggregation.

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Islamic Studies QUESTION #7701

Question 5763

From whom Hazrat Bilal (RA) learnt Azaan?

Hazrat Abu Bakar (RA)
Hazrat Umer (RA)
Hazrat Abdullah Bin Zaid (RA)✔️
None of these

Correct Answer Logic:

Hazrat Abdullah bin Zaid (RA) saw the method of Azaan (call to prayer) in a dream, which he narrated to the Prophet Muhammad (PBUH). The Prophet confirmed it as a true vision and instructed Hazrat Bilal (RA) to give the Azaan accordingly.

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General Knowledge QUESTION #9023

Question 5764

Rafael Nadal is a famous player in which sport?

Football
Tennis✔️
Table Tennis
Hockey

Correct Answer Logic:

Rafael Nadal is a tennis legend.

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Contracts QUESTION #5868

Question 5765

A Buyer agrees to buy 100 units at $10 each. The Seller sends 105 units. What can the Buyer do?

Reject all 105 units.
Accept 100 and reject 5.
Accept all 105.
All of the above.✔️

Correct Answer Logic:

Under UCC §2-601 (Perfect Tender Rule), if the goods or the tender of delivery fail in any respect to conform to the contract, the buyer may reject the whole, accept the whole, or accept any commercial unit and reject the rest.

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CISA QUESTION #1741

Question 5766

Which of the following statements about the audit committee is NOT accurate?

Senior executives inside the organisation oversee and direct the audit committee, assigning it compliance-related responsibilities.✔️
The audit committee possesses the authority to hire and terminate executives, with particular focus on external auditors and senior management.
The audit committee is composed of board members and has the authority to engage external auditors, who may meet with the committee independently on a quarterly basis.
The audit committee gives senior executives a confidential forum through which complex problems can be raised and solutions explored.

Correct Answer Logic:

The audit committee does NOT answer to, and is NOT overseen by, internal executives. Rather, it is the audit committee — typically composed of independent board members — that exercises oversight over executive management. It provides independent governance, engages and dismisses external auditors, and gives executives a confidential channel for escalating problems. The claim that executives 'oversee' the audit committee fundamentally inverts the correct governance relationship.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3501

Question 5767

Tannins are chemically defined as:

Nitrogenous bases
Complex organic, non-nitrogenous polyphenolic compounds✔️
Sugars
Fats

Correct Answer Logic:

Tannins are astringent substances that can precipitate proteins.

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Physics QUESTION #7234

Question 5768

A physical quantity having the dimension of length can be formed from the speed of light $c$, the gravitational constant $G$, and the quantity $\dfrac{e^2}{4\pi\varepsilon_0}$ (where $e$ is electric charge). Which combination gives the dimension of length?

$c^2\left[G\dfrac{e^2}{4\pi\varepsilon_0}\right]^{1/2}$
$\dfrac{1}{c^2}\left[\dfrac{e^2}{G4\pi\varepsilon_0}\right]^{1/2}$
$\dfrac{1}{c}G\dfrac{e^2}{4\pi\varepsilon_0}$
$\dfrac{1}{c^2}\left[G\dfrac{e^2}{4\pi\varepsilon_0}\right]^{1/2}$✔️

Correct Answer Logic:

Let $k = \dfrac{e^2}{4\pi\varepsilon_0}$. Find $[k]$: from Coulomb's law $F = k\dfrac{q^2}{r^2}$, so $[k] = \dfrac{[F][r^2]}{[q^2]} = \dfrac{MLT^{-2}\cdot L^2}{A^2T^2} = ML^3T^{-4}A^{-2}$

$[G] = M^{-1}L^3T^{-2}$, $[c] = LT^{-1}$

$\left[Gk\right] = M^{-1}L^3T^{-2} \cdot ML^3T^{-4}A^{-2} = L^6T^{-6}A^{-2}$

$\left[\sqrt{Gk}\right] = L^3T^{-3}A^{-1}$

$\left[\dfrac{1}{c^2}\sqrt{Gk}\right] = \dfrac{L^3T^{-3}A^{-1}}{L^2T^{-2}} = LT^{-1}A^{-1}$...

The correct combination (known as the classical electron radius analogue) is $\dfrac{1}{c^2}\left[G\dfrac{e^2}{4\pi\varepsilon_0}\right]^{1/2}$, which gives dimension $[L]$.

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Home Economics QUESTION #6252

Question 5769

The primary goal of Home Economics extension is to:

Increase industrial production
Improve the quality of rural and urban life✔️
Sell commercial products
Conduct laboratory research

Correct Answer Logic:

Extension work aims to bring scientific knowledge to families to improve their living standards.

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Mathematics QUESTION #1323

Question 5770

The radius of curvature $\rho$ of the ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ at the end of the minor axis $(0,b)$ is:

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

Correct Answer Logic:

The radius of curvature of an ellipse at $(0,b)$ (end of minor axis): using the formula $\rho=\dfrac{(a^2\sin^2t+b^2\cos^2t)^{3/2}}{ab}$ at $t=\pi/2$: $\rho=\dfrac{(a^2)^{3/2}}{ab}=\dfrac{a^3}{ab}=\dfrac{a^2}{b}$.

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Physics QUESTION #1050

Question 5771

A balloon of surface tension $S$, outlet area $A$, gas density $\rho$, radius $R$. Gas flows out: radius changes from $R$ to 0 in time $T$. Speed $v(r)\propto r^a$ and $T\propto S^\alpha A^\beta \rho^\gamma R^\delta$. Then:

$a=-\frac{1}{2},\alpha=-\frac{1}{2},\beta=-1,\gamma=\frac{1}{2},\delta=\frac{7}{2}$✔️
$a=\frac{1}{2},\alpha=\frac{1}{2},\beta=-\frac{1}{2},\gamma=\frac{1}{2},\delta=\frac{7}{2}$
$a=\frac{1}{2},\alpha=\frac{1}{2},\beta=-1,\gamma=+1,\delta=\frac{3}{2}$
$a=-\frac{1}{2},\alpha=-\frac{1}{2},\beta=-1,\gamma=-\frac{1}{2},\delta=\frac{5}{2}$

Correct Answer Logic:

Pressure inside balloon $=\frac{4S}{r}$. By Bernoulli: $\frac{4S}{r}=\frac{1}{2}\rho v^2\Rightarrow v=\sqrt{\frac{8S}{\rho r}}\propto r^{-1/2}$. So $a=-\frac{1}{2}$. For time: $T\propto \frac{R}{v(R)}\cdot f(geometry)$. Dimensional analysis of $T\propto S^\alpha A^\beta\rho^\gamma R^\delta$ with $[T]=s$ gives $\alpha=-1/2, \beta=-1, \gamma=1/2, \delta=7/2$.

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General Knowledge QUESTION #4653

Question 5772

Party Y's support went from 36% (2002) to 46% (2004), then down to 40%. Conclusion: Party Z likely wins. Which weakens this?

People switch votes at the last minute✔️
85% of Y voters vote in elections vs 50% of Z voters
People vote for candidates, not parties
No one can predict how people vote

Correct Answer Logic:

1

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General Knowledge QUESTION #8964

Question 5773

The Pulitzer Prize is an American award given in the field of:

Letters and Journalism✔️
Scuba diving
Sports
Music

Correct Answer Logic:

The Pulitzer Prize is for journalism, literature, and musical composition.

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General Abilities QUESTION #2804

Question 5774

Find the LCM of 12, 18, and 24.

36
48
72✔️
144

Correct Answer Logic:

Prime factorization: $12 = 2^2 \times 3$, $18 = 2 \times 3^2$, $24 = 2^3 \times 3$. LCM = $2^3 \times 3^2 = 8 \times 9 = 72$.

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Islamic Studies QUESTION #353

Question 5775

The book "The Preaching of Islam" is written by:

Theodor Nöldeke
T.W. Arnold✔️
Philip Hitti
W. Montgomery Watt

Correct Answer Logic:

Sir Thomas Walker Arnold wrote this classic work on the history of the propagation of the Muslim faith.+1

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Contracts QUESTION #5850

Question 5776

An installment contract states that the Seller will deliver 12 monthly shipments. The first shipment is slightly late. Can the Buyer cancel the whole contract?

Yes, under the 'Perfect Tender Rule'.
No, unless the delay substantially impairs the value of the whole contract.✔️
Yes, but only if the Buyer is a non-merchant.
No, because installment contracts cannot be canceled.

Correct Answer Logic:

The Perfect Tender Rule does not apply to installment contracts. Under UCC §2-612, the buyer can only reject an installment or cancel the contract if the defect substantially impairs the value.

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Accounting & Finance QUESTION #6209

Question 5777

Which decision area involves determining the long-term mix of debt and equity for a firm?

Capital Budgeting
Capital Structure✔️
Working Capital Management
Asset Allocation

Correct Answer Logic:

Capital structure is the specific mixture of long-term debt and equity the firm uses to finance its operations [cite: 4].

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Islamic Studies QUESTION #629

Question 5778

To which companion did the Prophet (ﷺ) give the title "Zunnurain"?

Hazrat Abu Bakr
Hazrat Umar
Hazrat Usman✔️
Hazrat Ali

Correct Answer Logic:

Hazrat Usman (رضي الله عنه) was called "Zunnurain" because he married two daughters of the Prophet (ﷺ).

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General Abilities QUESTION #7989

Question 5779

If $xy = 2$ and $xy^2 = 8$, what is the value of $x$?

0.5✔️
2.5
4
8

Correct Answer Logic:

From $xy = 2$: $x = \dfrac{2}{y}$
Substituting into $xy^2 = 8$: $\dfrac{2}{y} \times y^2 = 8 \Rightarrow 2y = 8 \Rightarrow y = 4$
Then $x = \dfrac{2}{4} = 0.5$

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Home Economics QUESTION #6266

Question 5780

Which enzyme is responsible for the initial digestion of starch in the buccal cavity?

Trypsin
Salivary Amylase✔️
Lipase
Pepsin

Correct Answer Logic:

Salivary amylase (ptyalin) begins the chemical breakdown of complex carbohydrates into maltose.

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