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Verbal Reasoning QUESTION #8083

Question 4901

Of the following, which is closest to $\sqrt[3]{30}$?

$6$
$5$
$4$
$3$✔️

Correct Answer Logic:

Estimate by testing perfect cubes:

$2^3 = 8$
$3^3 = 27$
$4^3 = 64$

Since $27 < 30 < 64$, we know $3 < \sqrt[3]{30} < 4$.

$30$ is much closer to $27$ than to $64$, so $\sqrt[3]{30}$ is closer to $3$ than to $4$.

More precisely: $\sqrt[3]{30} \approx 3.107$

Among the options $\{6, 5, 4, 3\}$, the value $3$ is closest.

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Logical Reasoning QUESTION #3930

Question 4902

Florence Nightingale was a _____ in the evolution of modern clinical medicine, _____ practices like ward sanitization and patient isolation.

collaborator...rejecting✔️
maverick...protesting
pioneer...initiating
critic...standardizing

Correct Answer Logic:

2

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English QUESTION #8510

Question 4903

The girls learned to cook _______ her mother.

by
from✔️
with
through

Correct Answer Logic:

'Learned from' her mother.

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General Knowledge QUESTION #8856

Question 4904

Why did Quaid-e-Azam launch Direct Action Day on August 16, 1946?

To protest breach of pledge by Viceroy Lord Wavell✔️
To oppose Congress policies
To get mass support for party membership
To curb the upsurge of national Muslims

Correct Answer Logic:

Direct Action Day protested against the failure of the Cabinet Mission.

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English QUESTION #4423

Question 4905

It rained all night; __________ the roads were flooded in the morning.

similarly
instead
as a result✔️
in contrast

Correct Answer Logic:

The sentence shows a cause-and-effect relationship: the rain caused the flooding. 'As a result' is the correct transitional phrase to express this consequence. 'Similarly' shows comparison, 'instead' shows alternative, and 'in contrast' shows opposition.

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General Knowledge QUESTION #8624

Question 4906

'Elysee Palace' is the official residence of which leader?

King of Denmark
German Chancellor
President of France✔️
Pope of Vatican

Correct Answer Logic:

The Élysée Palace is the residence of the French President.

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Physics QUESTION #4384

Question 4907

When an object attains terminal velocity, its acceleration is:

$9.8\ m/s^2$
Zero✔️
$1\ m/s^2$
$9.8\ m/s^2$ downward

Correct Answer Logic:

At terminal velocity, the net force on the object is zero — drag force equals gravitational force. By Newton's second law: $F_{net} = ma = 0$, so acceleration $a = 0$.

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Mathematics QUESTION #4105

Question 4908

The absolute maximum value of $f(x,y)=xy-2x$ over the entire triangular region with vertices $(0,0),(4,0),(0,4)$ is:

$0$
$1$✔️
$4$
$8$

Correct Answer Logic:

Boundary analysis: Edge $y=0$: $f=-2x\leq0$. Edge $x=0$: $f=0$. Edge $y=4-x$: $f=-x^2+2x$, max at $x=1$ giving $f=1$. Vertex values: $f(0,0)=0$, $f(4,0)=-8$, $f(0,4)=0$. The absolute maximum is $\boxed{1}$ at $(1,3)$.

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Chemistry QUESTION #5577

Question 4909

Which of the following compounds gives a positive silver mirror test (Tollens' test)?

Acetone
Formaldehyde
Benzophenone
Acetaldehyde✔️

Correct Answer Logic:

Tollens' test (silver mirror test) is positive for aldehydes, which are oxidized to carboxylate ions while $Ag^+$ is reduced to metallic silver. Acetaldehyde ($CH_3CHO$) is an aldehyde → positive. Acetone and benzophenone are ketones (do not respond to Tollens'). Formaldehyde also gives a positive test, but acetaldehyde is listed here as the textbook answer.

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General Knowledge QUESTION #8598

Question 4910

Where is the permanent secretariat of SAARC located?

Delhi
Islamabad
Kathmandu✔️
Dhaka

Correct Answer Logic:

SAARC's secretariat is in Kathmandu, Nepal.

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Physics QUESTION #7335

Question 4911

Two projectiles fired from the same point with equal speed at $60°$ and $30°$. Which statement is true?

Their horizontal ranges are equal✔️
Their maximum heights are equal
Their landing speeds are equal
Their times of flight are equal

Correct Answer Logic:

$60°$ and $30°$ are complementary angles, so $\sin(2\times60°) = \sin120° = \sin60° = \sin(2\times30°)$.

Range $R = \dfrac{u^2\sin2\theta}{g}$ is the same for both. Heights and times of flight differ.

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Islamic Studies QUESTION #7629

Question 4912

قحط کے دنوں میں اسلامی حکومت کی طرف سے لگایا جانے والا ٹیکس کیا کہلاتا ہے؟

دارب
عشور
خراج✔️
خمس

Correct Answer Logic:

قحط کے دنوں میں زمین پر لگنے والا ٹیکس 'خراج' کہلاتا ہے، جو غلہ کی پیداوار پر لگایا جاتا ہے۔

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Pakistan Affairs QUESTION #299

Question 4913

What event led to the initiation of Pervez Musharraf's trial under Article 6?

Removal and house arrest of Judges✔️
Suspension of Constitution (1999 coup)
Assassination of Benazir Bhutto
Lal Masjid Operation

Correct Answer Logic:

The High Treason case was primarily based on the emergency and judge removal in Nov 2007.

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Verbal Reasoning QUESTION #8074

Question 4914

$n$ is an even integer and a multiple of 3.

Compare:

Column A: The remainder when $n$ is divided by 12

Column B: 6

Column A is greater
Column B is greater
The two quantities are equal
The relationship cannot be determined✔️

Correct Answer Logic:

Since $n$ is even and a multiple of 3, $n$ must be a multiple of $\text{lcm}(2, 3) = 6$.

So $n = 6k$ for some integer $k$.

When we divide $n = 6k$ by 12:

If $k$ is even (say $k = 2m$): $n = 12m$, remainder = 0
If $k$ is odd (say $k = 2m + 1$): $n = 6(2m + 1) = 12m + 6$, remainder = 6

So the remainder when $n$ is divided by 12 can be either 0 or 6.

Since Column A could be 0 (less than 6) or 6 (equal to 6), the relationship cannot be determined.

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Mathematics QUESTION #7483

Question 4915

Let $A = \{x \in \mathbb{R} : x$ is not a positive integer$\}$. Define a function $f: A \to \mathbb{R}$ as $f(x) = \frac{2x}{x-1}$, then f is:

not injective
neither injective nor surjective
surjective but not injective
injective but not surjective✔️

Correct Answer Logic:

For injectivity: if $f(x_1) = f(x_2)$, then $\frac{2x_1}{x_1-1} = \frac{2x_2}{x_2-1}$, giving $2x_1(x_2-1) = 2x_2(x_1-1)$, so $x_1x_2 - x_1 = x_2x_1 - x_2$, thus $x_1 = x_2$. So f is injective. For surjectivity to $\mathbb{R}$: given $y \in \mathbb{R}$, solve $\frac{2x}{x-1} = y$, getting $2x = yx - y$, so $x(y-2) = -y$, giving $x = \frac{y}{2-y}$ (provided $y \neq 2$). We need to check if this x is in domain A (not a positive integer). For most y, this x won't be a positive integer, but there are some values of y that map to positive integers, which should be excluded from the range. So f is not surjective to all of $\mathbb{R}$. The answer is D.

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Quantitative Reasoning QUESTION #8045

Question 4916

BLITHE: Choose the word most nearly opposite in meaning to this word.

conceited
dim
sturdy
grave✔️

Correct Answer Logic:

BLITHE means cheerfully carefree and lighthearted. Its antonym is grave, which means serious, solemn, or somber in manner. 'Conceited' means arrogant. 'Dim' means not bright. 'Sturdy' means strong. Only 'grave' directly contrasts with the lighthearted, carefree nature of 'blithe.'

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Dairy Food Science and Technology QUESTION #5902

Question 4917

The phenomenon of lactose crystallization in concentrated milk products causing a gritty texture is called:

Syneresis
Maillard browning
Sandiness due to $\alpha$-lactose monohydrate crystal formation (crystals $>30\;\mu\text{m}$)✔️
Creaming

Correct Answer Logic:

When lactose supersaturation occurs in condensed or sweetened condensed milk or ice cream, large $\alpha$-lactose monohydrate crystals ($>30\;\mu\text{m}$) form causing sandiness or grittiness. Control involves rapid cooling, seeding with fine lactose crystals, or use of lactase.

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Physics QUESTION #413

Question 4918

An n-type semi-conductor is made by doping silicon crystal with __________

Indium
Aluminium
Arsenic✔️
Both B and C

Correct Answer Logic:

Arsenic is a pentavalent donor for n-type

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Maths QUESTION #4514

Question 4919

What is the value of $3^0$?

$0$
$1$✔️
$3$
Undefined

Correct Answer Logic:

Any non-zero number raised to power $0$ equals $1$. Therefore, $3^0 = 1$

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General Knowledge QUESTION #4752

Question 4920

Former US Vice-President Al Gore was awarded the Nobel Peace Prize in 2007 for his campaign against which issue?

Child Labour
Human Rights Violations
Global Warming and Climate Change✔️
Nuclear Proliferation

Correct Answer Logic:

Al Gore, along with the Intergovernmental Panel on Climate Change (IPCC), won the 2007 Nobel Peace Prize for their work to raise global awareness of climate change and global warming.

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