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Mathematics QUESTION #1296

For a particle moving along the ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ with uniform speed $V$ at the point $(0,b)$, the tangential component of acceleration is:

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

Correct Answer Logic:

Uniform speed means $|\vec{v}|=V=\text{constant}$, so $\dfrac{d|\vec{v}|}{dt}=0$. The tangential component of acceleration $a_T=\dfrac{dV}{dt}=0$. Only the normal (centripetal) component is non-zero.

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MCQs Section QUESTION #4890

Question 2922

Which word is opposite to "CONSCIENTIOUS"

Uncorrupt
Honourable
Principled
Profligate✔️

Correct Answer Logic:

Conscientious means wishing to do one's work thoroughly and carefully. Its antonym is Profligate, meaning recklessly wasteful and utterly lacking in moral principles.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3231

Question 2923

'Arrhythmia' refers to:

High blood pressure
Abnormal heart rhythm✔️
Low red blood cell count
Inflammation of the joints

Correct Answer Logic:

Arrhythmias can range from harmless palpitations to life-threatening conditions.

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Physics QUESTION #7076

Question 2924

A simple pendulum has a time period $T$ when measured in a stationary elevator. If the elevator begins to accelerate upwards at a rate of $g/2$, what is the new time period of the pendulum?

$\sqrt{\frac{2}{3}}T$✔️
$\sqrt{3}T$
$\sqrt{\frac{3}{2}}T$
$\frac{T}{\sqrt{3}}$

Correct Answer Logic:

The effective gravity $g_{eff}$ in an upward accelerating lift is $g + a = g + g/2 = 3g/2$. Since the time period $T \propto \frac{1}{\sqrt{g}}$, the new period $T' = T \sqrt{\frac{g}{3g/2}} = T \sqrt{\frac{2}{3}}$.

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General Knowledge QUESTION #4781

Question 2925

The Channel Tunnel is an undersea rail tunnel linking which two countries?

England and Ireland
England and France✔️
France and Germany
Belgium and England

Correct Answer Logic:

The Channel Tunnel (Chunnel) is a 50.45-kilometer railway tunnel beneath the English Channel, linking Folkestone in England with Coquelles near Calais in northern France.

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Security Measures to Maintain Law and Order QUESTION #843

Question 2926

Which measure is taken to maintain order regarding "Unclaimed Baggage"?

Immediate destruction
Auctioning
Screening & Safe Removal✔️
Placing in lost & found

Correct Answer Logic:

For security, unclaimed baggage is treated as a potential IED threat and must be screened before removal.

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HR and Management QUESTION #6475

Question 2927

The concept of 'avoiding common personnel mistakes' includes all EXCEPT:

Hiring the wrong person for the job
Experiencing high turnover
Maximizing employee potential✔️
Committing unfair labor practices

Correct Answer Logic:

Common personnel mistakes to avoid include: hiring wrong people, high turnover, employees not doing their best, discriminatory actions, unsafe practices, inadequate training, and unfair labor practices. Maximizing employee potential is a goal, not a mistake to avoid.

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English QUESTION #4455

Question 2928

In the sentence 'Wearing a helmet when you do any dangerous sport is important.', the subject is:

Helmet
You
Sport
None of these✔️

Correct Answer Logic:

The subject is the entire gerund phrase 'Wearing a helmet when you do any dangerous sport', not just a single word.

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Chemistry QUESTION #7406

Question 2929

Which of the following correctly represents the order of increasing electron gain enthalpy (with negative sign) for O, S, F, and Cl?

$\text{S} < \text{O} < \text{Cl} < \text{F}$
$\text{Cl} < \text{F} < \text{O} < \text{S}$
$\text{O} < \text{S} < \text{F} < \text{Cl}$✔️
$\text{F} < \text{S} < \text{O} < \text{Cl}$

Correct Answer Logic:

Electron gain enthalpy (EGE) trend:
F and O are anomalously low due to their small atomic size causing high electron–electron repulsion when an extra electron is added.

Correct increasing order: $\text{O} < \text{S} < \text{F} < \text{Cl}$

Cl has the most negative EGE (releases most energy) among these four elements.

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Physics QUESTION #7033

Question 2930

Determine the dimensional formula for the permittivity of a vacuum ($\epsilon_0$). Given the fundamental quantities: $M$ = mass, $L$ = length, $T$ = time, and $A$ = electric current.

$[\epsilon_0] = [M^{-1} L^{-3} T^2 A]$
$[\epsilon_0] = [M^{-1} L^{-3} T^4 A^2]$✔️
$[\epsilon_0] = [M^{-1} L^2 T^4 A^{-2}]$
$[\epsilon_0] = [M^{-1} L^2 T^{-1} A]$

Correct Answer Logic:

According to Coulomb's Law, the force $F$ between two charges $q_1$ and $q_2$ separated by distance $r$ is:

$F = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r^2}$

Rearranging for permittivity:

$\epsilon_0 = \frac{q^2}{4\pi F r^2}$

Dimensional analysis:

Charge $[q] = [AT]$
Force $[F] = [MLT^{-2}]$
Distance $[r] = [L]$

$[\epsilon_0] = \frac{[A^2 T^2]}{[M L T^{-2}] [L^2]} = [M^{-1} L^{-3} T^4 A^2]$

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Statistics QUESTION #1965

Question 2931

An ordinal (ranking) scale inherently includes all properties of which other measurement scale?

Nominal scale✔️
Interval scale
Ratio scale
All of the above

Correct Answer Logic:

An ordinal scale includes the classification property of the nominal scale, and adds ordering. Hence it always includes all properties of the nominal scale.

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Civil Engineering QUESTION #6654

Question 2932

In a cantilever beam, the main tension reinforcement should be placed:

At the bottom of the beam
At the top of the beam✔️
In the middle of the beam
Only as stirrups

Correct Answer Logic:

Cantilever beams experience 'negative' moment, meaning the top fibers are in tension and the bottom fibers are in compression.

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Chemistry QUESTION #7499

Question 2933

An aqueous solution contains an unknown concentration of Ba$^{2+}$. When 50 mL of a 1 M Na$_2$SO$_4$ solution is added, BaSO$_4$ just begins to precipitate. The final volume is 500 mL and $K_{sp}(\text{BaSO}_4) = 1 \times 10^{-10}$. What was the original concentration of Ba$^{2+}$?

$1.1 \times 10^{-9}$ M
$1.0 \times 10^{-10}$ M
$5 \times 10^{-9}$ M
$2 \times 10^{-9}$ M✔️

Correct Answer Logic:

At the point of precipitation: $[\text{Ba}^{2+}][\text{SO}_4^{2-}] = K_{sp} = 1 \times 10^{-10}$

Find $[\text{SO}_4^{2-}]$ in the final mixture:

Moles of SO$_4^{2-}$ added $= 0.050\ \text{L} \times 1\ \text{M} = 0.05\ \text{mol}$

Final volume $= 500\ \text{mL} = 0.5\ \text{L}$

$[\text{SO}_4^{2-}]_{\text{final}} = \dfrac{0.05}{0.5} = 0.1\ \text{M}$

Find $[\text{Ba}^{2+}]$ in the final mixture:

$[\text{Ba}^{2+}]_{\text{final}} = \dfrac{K_{sp}}{[\text{SO}_4^{2-}]} = \dfrac{1\times10^{-10}}{0.1} = 1\times10^{-9}\ \text{M}$

Back-calculate original concentration: Final volume is 10× original Ba$^{2+}$ volume (500 mL total, 450 mL original solution).

Original $[\text{Ba}^{2+}] = 1\times10^{-9} \times \dfrac{500}{450} \approx \mathbf{2\times10^{-9}}\ \text{M}$

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Boilers Mechanical Engineering QUESTION #2376

Question 2934

For a proportional (P) control element with gain $K$, the transfer function is:

$Y(s) = K/s$
$Y(s) = Ks$
$Y(s) = K$✔️
$Y(s) = K s^2$

Correct Answer Logic:

A proportional element: $x_o(t)=K x_i(t)$, so in Laplace domain $X_o(s)=K X_i(s)$, giving transfer function $Y(s)=K$ (a constant gain).

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Nursing QUESTION #9233

Question 2935

A critically ill patient develops Disseminated Intravascular Coagulation (DIC). Which laboratory profile is MOST consistent with this diagnosis?

Elevated PT, elevated aPTT, elevated fibrinogen, decreased D-dimer, decreased platelets
Elevated PT, elevated aPTT, decreased fibrinogen, elevated D-dimer, decreased platelets✔️
Normal PT, elevated aPTT, elevated fibrinogen, elevated D-dimer, elevated platelets
Decreased PT, decreased aPTT, elevated fibrinogen, decreased D-dimer, elevated platelets

Correct Answer Logic:

Correct Answer: B

DIC Laboratory Findings:

Lab Test	DIC Result	Reason
Prothrombin Time (PT)	↑ Elevated	Clotting factors consumed
aPTT	↑ Elevated	Clotting factors consumed
Fibrinogen	↓ Decreased	Consumed in widespread clotting
D-dimer	↑ Elevated	Fibrin degradation products from clot lysis
Platelets	↓ Decreased	Consumed in microthrombi formation
Peripheral smear	Schistocytes	Red cell fragmentation from fibrin strands

DIC is a paradox: simultaneous clotting AND bleeding. Common ICU triggers include sepsis, trauma, obstetric emergencies, and malignancy. Management includes treating the underlying cause, FFP, cryoprecipitate, and platelets.

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General Knowledge QUESTION #4816

Question 2936

The theory proposing that a single dominant power (hegemon) can maintain global stability is called?

Balance-of-power theory
Socialist theory
Hegemonic stability theory✔️
Deterrence theory

Correct Answer Logic:

Hegemonic Stability Theory, developed by economists and IR scholars, argues that a dominant state (hegemon) is necessary to maintain a stable international economic and political order.

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Accounting & Finance QUESTION #6162

Question 2937

Which financial indicator is considered a 'cumulative' measure of management's success in adding value since the firm's inception?

Economic Value Added (EVA)
Net Income
Market Value Added (MVA)✔️
Return on Equity (ROE)

Correct Answer Logic:

According to Lesson 03, MVA is a cumulative measure of wealth added to equity capital since inception, whereas EVA is for a specific year.

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Civil Engineering QUESTION #6639

Question 2938

In prestressed design, the 'Concordant Cable Profile' is one that:

Follows the shape of the shear force diagram
Produces no secondary moments in continuous beams✔️
Is always straight
Produces only compressive stresses

Correct Answer Logic:

A concordant tendon profile in a statically indeterminate structure does not induce any secondary reactions at the supports.

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Accounting & Finance QUESTION #9665

Question 2939

In accounting for Non-Profit Organizations, the Accumulated Fund (Capital Fund) is computed as:

Total subscriptions collected during the year
Total income minus total expenditure for the year
Assets minus Liabilities as on the opening date via Statement of Affairs✔️
Donations plus grants received during the year

Correct Answer Logic:

The opening balance of Capital Fund is computed through the Statement of Affairs on the opening date: Capital Fund = Total Assets – Total Liabilities. This mirrors the owner's equity calculation in business entities. Subsequent surpluses/deficits and capital receipts are then adjusted to arrive at the closing balance.

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Mathematics QUESTION #4116

Question 2940

Let $W$ be the subspace of all symmetric $2 \times 2$ matrices. What is $\dim(W)$?

$2$
$3$✔️
$4$
$6$

Correct Answer Logic:

Symmetric $2 \times 2$ matrices have form $\begin{pmatrix} a & b \ b & c \end{pmatrix}$. Basis: $\begin{pmatrix} 1 & 0 \ 0 & 0 \end{pmatrix}$, $\begin{pmatrix} 0 & 1 \ 1 & 0 \end{pmatrix}$, $\begin{pmatrix} 0 & 0 \ 0 & 1 \end{pmatrix}$. Dimension is 3.

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