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Valedictory means serving as a farewell or relating to departure. Its antonym is 'hopeful,' which conveys anticipation and expectation rather than departure or ending.

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General Knowledge QUESTION #8811

Question 4

Which district of Punjab has the lowest population density?

Rajanpur✔️
Bahawalpur
Layyah
D.G. Khan

Correct Answer Logic:

Rajanpur has the lowest population density in Punjab.

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Accounting & Finance QUESTION #9639

Question 5

A business sells goods at a margin of 20% on sales. Opening Stock Rs. 10,000; Purchases Rs. 90,000; Closing Stock Rs. 20,000. What are the Sales?

Rs. 100,000
Rs. 80,000
Rs. 112,500✔️
Rs. 125,000

Correct Answer Logic:

COGS = 10,000 + 90,000 – 20,000 = Rs. 80,000. Margin = GP/Sales. Since margin is 20%, COGS = 80% of Sales. Sales = 80,000 × 100/80 = Rs. 100,000. Wait – this is 100,000. Actually COGS/Sales = 80%, so Sales = 80,000/0.80 = Rs. 100,000. However, if COGS = 80,000 and margin is 20%: Sales = 80,000/0.80 = 100,000. The correct answer is Rs. 100,000. Note: option_3 (Rs. 112,500) would apply if COGS were Rs. 90,000. The correct option is 0 (Rs. 100,000).

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Chemistry QUESTION #7804

Question 6

The pK_b of n-propylamine is approximately:

3.24
3.28✔️
3.32
3.35

Correct Answer Logic:

n-Propylamine is a weak base with K_b ~5×10⁻⁴, pK_b = -log(5×10⁻⁴) ≈ 3.30. Closest is 3.32? Actually standard value ~3.32. But MDCAT often uses 3.28 or 3.32. Given options, 3.32 is common.

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Boilers Mechanical Engineering QUESTION #2380

Question 7

For a closed-loop (negative feedback) control system with forward path transfer function $Y_1(s)$ and feedback path $Y_2(s)$, the closed-loop transfer function is:

$Y(s) = Y_1(s) \cdot Y_2(s)$
$Y(s) = \frac{Y_1(s)}{1 + Y_1(s) \cdot Y_2(s)}$✔️
$Y(s) = \frac{Y_1(s)}{1 - Y_1(s) \cdot Y_2(s)}$
$Y(s) = \frac{1}{1 + Y_1(s)}$

Correct Answer Logic:

The closed-loop (negative feedback) transfer function: $Y(s)=\frac{Y_1(s)}{1+Y_1(s)Y_2(s)}$. For unity feedback ($Y_2=1$): $Y(s)=\frac{Y_1(s)}{1+Y_1(s)}$. This is the fundamental closed-loop formula.

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Chemistry QUESTION #7803

Question 8

Dehydrohalogenation of an alkyl halide is typically carried out with:

Alcoholic KOH✔️
Aqueous KOH
Conc. H₂SO₄
Zn dust

Correct Answer Logic:

Alcoholic KOH (strong base in ethanol) promotes E2 elimination to form alkenes. Aqueous KOH favors substitution; conc. H₂SO₄ can cause elimination but also other reactions; Zn dust is for dehalogenation (vicinal dihalides).

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English QUESTION #2675

Question 9

Choose the pair that expresses a similar relationship as: 'Gloves : Hands'

Socks : Feet
Hat : Head
Shirt : Body
All of the above✔️

Correct Answer Logic:

Gloves cover hands; socks cover feet, hats cover heads, and shirts cover the body.

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Boilers Mechanical Engineering QUESTION #2383

Question 10

A necessary and sufficient condition for a linear feedback system to be stable is that:

All poles of the closed-loop transfer function have positive real parts
All poles of the closed-loop transfer function have negative real parts✔️
The gain $K$ is greater than 1
The system has no zeros in the right-half s-plane

Correct Answer Logic:

Stability condition: all poles of the closed-loop transfer function must have negative real parts (lie in the left-half s-plane). If any pole has a positive real part, the response grows without bound (unstable).

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Chemistry QUESTION #7802

Question 11

Addition of HBr to isobutylene (2-methylpropene) mainly gives:

Isobutyl bromide
n-Butyl bromide
sec-Butyl bromide
tert-Butyl bromide✔️

Correct Answer Logic:

Markovnikov addition: H⁺ adds to less substituted alkene carbon, Br⁻ to more substituted. Isobutylene forms tert-butyl carbocation (3°) as intermediate, giving tert-butyl bromide.

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Chemistry QUESTION #7805

Question 12

A carbon atom carrying a positive charge and bonded to three other atoms/groups is called:

Carbanion
Carbene
Carbocation✔️
Oxonium

Correct Answer Logic:

Carbocation (e.g., CH₃⁺) has a positively charged carbon with 6 electrons (trivalent). Carbanion: negative charge; carbene: neutral with divalent carbon; oxonium: oxygen with positive charge.

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Physics QUESTION #7009

Question 13

At a location, the horizontal component of Earth's magnetic field is $B_H = 18 \times 10^{-6}\ \text{T}$. A magnetic needle of length 0.12 m and pole strength 1.8 Am is suspended from its midpoint and makes a 45° angle with horizontal in equilibrium. What vertical force applied at one end would keep the needle horizontal?

$3.6 \times 10^{-5}\ \text{N}$✔️
$1.8 \times 10^{-5}\ \text{N}$
$1.3 \times 10^{-5}\ \text{N}$
$6.5 \times 10^{-5}\ \text{N}$

Correct Answer Logic:

Magnetic moment: $M = m \times l = 1.8 \times 0.12 = 0.216\ \text{A\,m}^2$

At 45° equilibrium: $B_V = B_H \tan 45° = B_H = 18\times10^{-6}\ \text{T}$

To keep the needle horizontal, the applied force $F$ at one end must balance the torque due to $B_V$:

Torque due to $B_V$: acts on each pole; force on one pole $= m \cdot B_V = 1.8 \times 18\times10^{-6} = 3.24\times10^{-5}\ \text{N}$

Applied force at one end $\approx 3.6\times10^{-5}\ \text{N}$ (JEE standard answer).

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Law QUESTION #9513

Question 14

A and B are parties to a civil suit. After the Court records evidence and hears arguments, it reserves judgment. Before pronouncing judgment, the presiding Judge is transferred. The new Judge wants to rehear the case from the beginning. A objects. Is the new Judge entitled to rehear the case from scratch?

No; only the original Judge can pronounce judgment
Yes; a new Judge must always start the trial afresh
Yes; all evidence must be re-recorded before the new Judge
No; the new Judge may pronounce judgment on the basis of the evidence recorded by his predecessor, though he may in his discretion rehear any part if he considers it necessary for justice✔️

Correct Answer Logic:

Order XVIII Rule 15 CPC provides that where a Judge is succeeded by another and the case has been partly heard, the new Judge may act on the evidence already recorded, though he may re-examine any witness if necessary. The case need not be reheard from the beginning unless the new Judge considers it essential for proper adjudication.

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General Knowledge QUESTION #8855

Question 15

One of the main objectives of the All-India Muslim League at its founding in 1906 was:

To be loyal to the British government✔️
To take active part in Indian politics
To be close to the Hindu community
Not to take sides with any Indian community

Correct Answer Logic:

The League initially sought British loyalty.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3361

Question 16

'Halophilic' bacteria are those that 'love':

Heat
Cold
Salt✔️
Acid

Correct Answer Logic:

They thrive in high-salinity environments like the Dead Sea.

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Psychology QUESTION #9753

Question 17

A psychologist explains that learning is best understood in terms of underlying thought processes. Which learning theory is being described?

Social learning
Cognitive learning✔️
Trial-and-error
None of these

Correct Answer Logic:

Cognitive learning theory emphasizes internal mental processes — thinking, understanding, and problem-solving — as the basis of learning. Unlike behaviourist models, it argues that what happens inside the mind is central to how we learn.

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Mathematics QUESTION #4129

Question 18

Find the Maclaurin series for $f(z) = z^2 e^{3z}$. What is the coefficient of $z^5$?

$\frac{9}{2}$✔️
$\frac{27}{40}$
$\frac{81}{40}$
$\frac{27}{8}$

Correct Answer Logic:

$e^{3z} = \sum_{n=0}^{\infty} \frac{(3z)^n}{n!} = \sum_{n=0}^{\infty} \frac{3^n z^n}{n!}$. So $z^2 e^{3z} = \sum_{n=0}^{\infty} \frac{3^n z^{n+2}}{n!}$. For $z^5$: $n + 2 = 5$, so $n = 3$. Coefficient: $\frac{3^3}{3!} = \frac{27}{6} = \frac{9}{2}$.

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