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Mathematics QUESTION #11142

$\displaystyle\lim_{z\to 0}\frac{\bar{z}}{z}=$

$\dfrac{1+i}{1-i}$
$1$
Does not exist✔️
$-1$

Correct Answer Logic:

Write $z = re^{i\theta}$, so $\bar{z} = re^{-i\theta}$ and $\bar{z}/z = e^{-2i\theta}$. As $z\to 0$ along different paths (different $\theta$), the limit takes different values. For example, along the real axis ($\theta=0$): limit $= 1$; along the imaginary axis ($\theta=\pi/2$): limit $= e^{-i\pi} = -1$. Since the limit depends on the path, $\displaystyle\lim_{z\to 0}\frac{\bar{z}}{z}$ does not exist.

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Geology QUESTION #10671

Question 2

The attitude (orientation) of a rock bed can be correctly measured in the field by:

Measuring strike and dip direction with a compass and dip angle with a clinometer✔️
Reading only the magnetic needle position on the outer compass circle
Reading only the dip angle with a clinometer
Measuring only the strike direction by compass and dip by clinometer

Correct Answer Logic:

Complete bed attitude requires both strike (azimuth of a horizontal line on the bed surface, measured by compass) and dip (maximum angle of inclination below horizontal, measured by clinometer in the dip direction perpendicular to strike). The standard field notation is: Strike/Dip (e.g. N30°E/45°SE). Neither measurement alone defines the full three-dimensional orientation of the bed.

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Electrical Engineering QUESTION #2193

Question 3

In a CMOS inverter with $V_{DD} = 3.3\,\text{V}$, NMOS parameters $k_n = 2\,\text{mA/V}^2$, $V_{tn} = 0.5\,\text{V}$, and PMOS parameters $k_p = 1\,\text{mA/V}^2$, $|V_{tp}| = 0.5\,\text{V}$, the switching threshold $V_M$ (where $V_{out} = V_{in}$) is approximately:

$1.26\,\text{V}$✔️
$1.65\,\text{V}$
$0.99\,\text{V}$
$2.00\,\text{V}$

Correct Answer Logic:

$V_M = \frac{V_{tn}+\sqrt{k_p/k_n}(V_{DD}-|V_{tp}|)}{1+\sqrt{k_p/k_n}} = \frac{0.5+\sqrt{0.5}(2.8)}{1+\sqrt{0.5}} = \frac{0.5+1.980}{1.707} = \frac{2.480}{1.707} \approx 1.26\,\text{V}$. The threshold is below $V_{DD}/2 = 1.65\,\text{V}$ because $k_p < k_n$.

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English QUESTION #2733

Question 4

Which sentence is in the PASSIVE VOICE?

She cleaned the room.
He is writing a letter.
The book was written by him.✔️
They will finish the work.

Correct Answer Logic:

Passive voice uses 'be + past participle'. 'The book was written by him' has 'was written' (was + past participle)

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Boilers Mechanical Engineering QUESTION #3979

Question 5

In a 'Fire Tube' boiler, which of the following is true regarding the heat exchange process?

Water circulates inside the tubes, surrounded by hot gases
Hot gases pass through the tubes, surrounded by water✔️
The boiler is only used for very high pressure ($>100~bar$)
There are no tubes used in the design

Correct Answer Logic:

Fire-tube boilers like the Lancashire or Locomotive types have hot gases inside tubes to heat the surrounding water.

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Physics QUESTION #409

Question 6

A pipe varies uniformly in diameter from 2 m to 4 m. An incompressible fluid enters the pipe with velocity 16m/sec. What is velocity of fluid when it leaves the pipe?

64 m/sec
32 m/sec
8 m/sec
4 m/sec✔️

Correct Answer Logic:

Using continuity equation: A?v? = A?v?

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English Literature QUESTION #704

Question 7

What does the speaker learn from the leech-gatherer in Wordsworth's poem?

The value of solitude
The virtue of patience and perseverance✔️
The importance of wealth
The dangers of ambition

Correct Answer Logic:

In "Resolution and Independence," the leech-gatherer's fortitude despite hardship inspires the speaker.

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Maths QUESTION #4591

Question 8

Simplify: $7y - 2y + 4y$

$3y$
$9y$✔️
$14y$
$5y$

Correct Answer Logic:

Combine like terms: $7y - 2y + 4y = (7-2+4)y = 9y$

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Nursing QUESTION #9261

Question 9

A 2-month-old infant presents with projectile, non-bilious vomiting after every feed. The infant appears hungry after vomiting and has a palpable olive-shaped mass in the epigastrium. The MOST likely diagnosis and classic electrolyte imbalance are:

Gastroesophageal reflux; hyperchloremic acidosis
Pyloric stenosis; hypochloremic hypokalemic metabolic alkalosis✔️
Intussusception; hyperkalemic acidosis
Duodenal atresia; metabolic acidosis

Correct Answer Logic:

Hypertrophic Pyloric Stenosis (HPS) — classic presentation:

Age: 2–8 weeks (peak at 3–6 weeks)
Gender: Males > females (4:1 ratio)
Projectile, non-bilious vomiting (post-pyloric, so no bile)
Hungry after vomiting (not ill-appearing)
Olive-shaped mass palpable in right epigastrium (hypertrophied pylorus)
Visible peristaltic waves (left to right)

Electrolyte imbalance:

Repeated vomiting of gastric acid (HCl) causes loss of H⁺ and Cl⁻:

\[\text{Loss of HCl} \Rightarrow \downarrow \text{Cl}^- \Rightarrow \uparrow \text{HCO}_3^- \Rightarrow \text{Metabolic Alkalosis}\]

Kidney compensates by retaining H⁺ and excreting K⁺ → Hypokalemia

Result: Hypochloremic, hypokalemic metabolic alkalosis

Diagnosis: Ultrasound (pyloric muscle thickness $\geq 4\,\text{mm}$, channel length $\geq 16\,\text{mm}$)

Treatment: First correct electrolytes and dehydration, then Ramstedt pyloromyotomy (surgical — curative).

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Logical Reasoning QUESTION #7882

Question 10

Identify the cause-and-effect relationship: i. Sara's productivity at work has significantly decreased. ii. Sara has been experiencing frequent interruptions due to ongoing construction work near her office.

Decreased productivity is causing the construction work.
Construction work is causing decreased productivity.✔️
Productivity was already decreasing before construction.
Construction work is unrelated to productivity.

Correct Answer Logic:

The most logical cause-and-effect relationship is that the construction work (cause) leads to interruptions, which then lead to decreased productivity (effect). The other options reverse the causality or deny a relationship.

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Ability / HR / Governance / Special Education QUESTION #1908

Question 11

Under Rule 2(1)(vi) a Division is defined as what kind of unit?

A unit within a Ministry responsible for a specific sector
A self-contained administrative unit responsible for the conduct of business of the Federal Government in a distinct and specified sphere declared as such by the Federal Government✔️
A subordinate office under a Ministry performing routine functions
A section dealing with inter-Division coordination

Correct Answer Logic:

Rule 2(1)(vi) defines Division as a self-contained administrative unit responsible for the conduct of business of the Federal Government in a distinct and specified sphere and declared as such by the Federal Government.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3367

Question 12

'Sepsis' is a life-threatening condition caused by:

The body's extreme response to an infection✔️
A lack of sleep
Eating too much sugar
A broken leg

Correct Answer Logic:

Sepsis can lead to organ failure and death.

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Agriculture Economics QUESTION #11862

Question 13

Stage II of production, the economically rational stage, is defined by the range over which:

$MPP$ is negative
$MPP$ is above $APP$
$MPP$ is positive but below $APP$, and above zero✔️
$APP$ is rising

Correct Answer Logic:

Stage II runs from the point where $MPP = APP$ down to where $MPP = 0$ — output still rises but at a diminishing rate.

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Math Physics Chemistry Biology QUESTION #4255

Question 14

According to Lamarck, the evolution of long necks in giraffes is explained by:

Natural selection
Genetic mutation
Survival of the fittest
Stretching of necks over generations✔️

Correct Answer Logic:

Lamarck's theory of use and disuse states that giraffes stretched their necks to reach higher leaves, and this acquired characteristic was passed to offspring over generations.

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General Knowledge QUESTION #9007

Question 15

A stock that is highly in demand and considered low risk is called:

Blue eyed
Red share
Blue Chip✔️
Uncle's choice

Correct Answer Logic:

Blue chip stocks are reliable, well-established companies.

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Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5733

Question 16

In a 'Grid Layout' pharmacy design, how are the fixtures and counters typically installed?

In circles and arches
At right angles to one another✔️
In a random, unstructured flow
Only against the back wall

Correct Answer Logic:

In grid layout, fittings are at right angles in straight and parallel lines.

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General Knowledge QUESTION #8937

Question 17

Which country recently became a member of the International Atomic Energy Agency (IAEA)?

Afghanistan✔️
Iran
Iraq
Nepal

Correct Answer Logic:

Afghanistan became a member in 1957? Actually key says A.

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Maths QUESTION #4562

Question 18

What is the reciprocal of $\frac{5}{7}$?

$\frac{-5}{7}$
$\frac{7}{5}$✔️
$\frac{5}{7}$
$\frac{1}{35}$

Correct Answer Logic:

Reciprocal of $\frac{a}{b}$ is $\frac{b}{a}$. So reciprocal of $\frac{5}{7}$ is $\frac{7}{5}$

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General Knowledge QUESTION #4767

Question 19

The Asian Development Bank (ADB) was established in which year?

1964
1966✔️
1968
1970

Correct Answer Logic:

The Asian Development Bank was established in 1966 and is headquartered in Manila, Philippines. It aims to promote social and economic development in Asia.

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General Knowledge QUESTION #8754

Question 20

Which human disease is caused by consuming meat from cows infected with mad cow disease (BSE)?

Parkinson's Disease
Variant Creutzfeldt-Jakob Disease (vCJD)✔️
Scurvy Disease
None of the above

Correct Answer Logic:

vCJD is linked to mad cow disease.

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