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Mathematics QUESTION #1270

For $f(Z)=\dfrac{1}{Z}$, writing $Z=re^{i\theta}$, the function satisfies the polar C-R equations because:

It is not analytic anywhere
It is analytic everywhere except $Z=0$✔️
It is analytic everywhere
It is analytic only on the real axis

Correct Answer Logic:

$f(Z)=\dfrac{1}{Z}=\dfrac{1}{r}e^{-i\theta}=\dfrac{1}{r}(\cos\theta-i\sin\theta)$. So $u=\dfrac{\cos\theta}{r}$, $v=-\dfrac{\sin\theta}{r}$. The polar C-R equations are satisfied for all $r\neq0$, confirming $f$ is analytic everywhere except at the singularity $Z=0$.

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Security Measures to Maintain Law and Order QUESTION #889

Question 5622

Under Section 5, the "Head of the Force" (DG) can issue "Standing Orders" to:

Change the Act
Regulate the Force's discipline✔️
Increase airport taxes
Hire foreign mercenaries

Correct Answer Logic:

Section 5 and 13 allow the DG to issue orders/regulations to maintain the efficient functioning and discipline of the Force.

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MCQs Section QUESTION #4845

Question 5623

Pick the word nearly opposite in meaning to "TURBID"

Muddy
Clear✔️
Invariable
Improbable

Correct Answer Logic:

Turbid means cloudy, opaque, or muddy, especially referring to liquid. Its antonym is 'clear,' meaning transparent and free from cloudiness.

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Mathematics QUESTION #4132

Question 5624

For subspaces $W_1, W_2$ of $\mathbb{R}^3$ with $\dim(W_1) = 2$ and $\dim(W_2) = 2$, what is the minimum $\dim(W_1 \cap W_2)$?

$0$
$1$✔️
$2$
$4$

Correct Answer Logic:

By dimension formula: $\dim(W_1 + W_2) = \dim(W_1) + \dim(W_2) - \dim(W_1 \cap W_2)$. Since $\dim(W_1 + W_2) \leq 3$, we have $2 + 2 - \dim(W_1 \cap W_2) \leq 3$, so $\dim(W_1 \cap W_2) \geq 1$.

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Basic Mathematics QUESTION #2870

Question 5625

A student scored $450$ marks out of $500$. What is the percentage?

80%
85%
90%✔️
95%

Correct Answer Logic:

Percentage $= \frac{\text{Obtained}}{\text{Total}} \times 100 = \frac{450}{500} \times 100 = 90\%$.

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General Knowledge QUESTION #4645

Question 5626

Joseph is Jackie's brother. Jackie is Ninda's brother. Ninda is not Joseph's brother. Therefore, Ninda is Joseph's sister.

Should be True✔️
May be False
Should be False
Cannot be determined

Correct Answer Logic:

No explanation provided for this question.

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Biology QUESTION #4308

Question 5627

In a normal 28-day menstrual cycle, when would you expect the LH surge to occur?

Days 7–10
Days 11–14✔️
Days 15–18
Days 19–22

Correct Answer Logic:

The LH surge typically occurs around days 11–14 of a 28-day cycle, just before ovulation on day 14. This surge triggers the release of the mature egg from the ovary.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3048

Question 5628

A 'Chemical Incompatibility' results from:

Improper dosing
A reaction like oxidation, reduction, or acid-base reaction✔️
A change in the container material
The drug tasting bad

Correct Answer Logic:

Chemical incompatibility occurs when a chemical reaction takes place between the ingredients.

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General Ability and Fire Fighting QUESTION #5592

Question 5629

Which of the following is an example of the 'Starving' method of fire extinguishment?

Applying CO2 gas to the fire
Turning off a gas valve✔️
Using a fire blanket
Spraying water on flames

Correct Answer Logic:

Starving a fire means removing the fuel source. Turning off a gas valve removes the fuel supply and therefore extinguishes the fire.

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Security Measures to Maintain Law and Order QUESTION #937

Question 5630

What is the function of a 'Security Awareness Program' for non-security staff?

To train them as guards
To teach them to recognize and report threats✔️
To reduce their working hours
To monitor their productivity

Correct Answer Logic:

Every airport employee acts as an extra "eyes and ears" when they are trained to recognize suspicious activity.

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Biology QUESTION #4212

Question 5631

Additional capillaries present in the juxtamedullary nephrons to form a loop of vessels are:

Efferent arterioles
Peritubular capillaries
Vasa recta✔️
Afferent arterioles

Correct Answer Logic:

Vasa recta are looped capillaries in juxtamedullary nephrons.

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Professional QUESTION #1835

Question 5632

Under Section 11(3), the service of a civil servant in temporary employment or appointed ad hoc shall be liable to termination on notice of how many days, or pay in lieu thereof?

Seven days
Ten days
Fourteen days✔️
Thirty days

Correct Answer Logic:

Section 11(3) provides that notwithstanding the provisions of sub-section (1), the service of a civil servant in temporary employment or appointed ad hoc shall be liable to termination on fourteen days' notice or pay in lieu thereof. This is the prescribed notice period and is not subject to deviation.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3323

Question 5633

'Endotoxins' are chemically composed of:

Proteins
Lipopolysaccharides (LPS)✔️
Simple sugars
RNA

Correct Answer Logic:

Endotoxins are part of the outer membrane of Gram-negative bacteria and are released upon cell death.

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Accounting Finance and Punjab Sales Tax on Services QUESTION #2573

Question 5634

According to Entry No. 23 of the Offences and Penalties Schedule, where a bank fails to attach or delays attaching the bank account of a person specified in an officer's notice, what is the prescribed penalty?

Fifty thousand rupees or fifty percent of tax, whichever is higher
One hundred thousand rupees or one hundred percent of tax sought to be recovered, whichever is higher✔️
Two hundred thousand rupees fixed penalty
Five percent of the bank's total deposits

Correct Answer Logic:

Entry No. 23 provides that a bank failing to comply with an attachment notice shall be liable to pay a penalty of ONE HUNDRED THOUSAND RUPEES OR ONE HUNDRED PERCENT of the tax sought to be recovered, whichever is higher. The bank manager may also face imprisonment up to one year.

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Civil Engineering QUESTION #2120

Question 5635

The degree of static indeterminacy of a propped cantilever beam (fixed at one end, simply supported at other end, single span) is:

1✔️
2
3

Correct Answer Logic:

A propped cantilever has reactions: fixed end provides vertical reaction, horizontal reaction, and moment (3 unknowns); simple support provides vertical reaction (1 unknown) — total 4 unknowns. Available equilibrium equations: 3 ($\sum F_x = 0$, $\sum F_y = 0$, $\sum M = 0$). Degree of static indeterminacy $= 4 - 3 = 1$. One compatibility equation (typically zero deflection at the prop) is needed to solve it.

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General Science and Ability QUESTION #256

Question 5636

Which contains a greater number of carbon atoms in one mole?

Chloroform
Methanol
Water
Ethanol✔️

Correct Answer Logic:

Ethanol (C2H5OH) has 2 carbon atoms per molecule, more than Chloroform (CHCl3) or Methanol (CH3OH).+1

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City and Regional Planning QUESTION #4965

Question 5637

What is the primary benefit of Mixed-Income Housing?

Higher rental income
Social integration and diversity✔️
Reduced construction costs
Simplified management

Correct Answer Logic:

Mixed-Income Housing promotes social integration by bringing together residents of different income levels, reducing segregation, creating diverse communities, and providing opportunities for social mobility.

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General Science and Ability QUESTION #197

Question 5638

Which of the following is used as a stabilizer in ice cream?

Sugar
Milk
Gelatin✔️
None of these

Correct Answer Logic:

Gelatin or gums are used to prevent the formation of large ice crystals.

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Geography QUESTION #6318

Question 5639

The Burgess Concentric Zone Model of urban structure was primarily based on observations of which city and which process?

New York City and ethnic succession
Chicago and invasion-succession dynamics✔️
London and industrial zonation
Los Angeles and automobile-based sprawl

Correct Answer Logic:

Burgess (1925) developed the concentric zone model based on Chicago's growth, applying ecological concepts of invasion-succession. Lower-income immigrants invaded inner zones, while established residents moved outward, creating concentric socio-economic zones.

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Dairy Food Science and Technology QUESTION #5886

Question 5640

The principle behind the Lactometer (Quevenne lactometer) is:

Measurement of electrical conductivity of milk
Measurement of specific gravity/density of milk relative to water (genuine whole milk: SG $1.028\text{–}1.034$)✔️
Colorimetric detection of fat content
Titration of milk with sodium hydroxide

Correct Answer Logic:

The lactometer measures specific gravity (density) of milk at $15.5^{\circ}\text{C}$ ($60^{\circ}\text{F}$). Genuine whole milk has SG $1.028\text{–}1.034$. Adulteration with water lowers the reading; addition of starch or salt raises it.

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