Reading Mode - Questions

Mathematics QUESTION #6953

For each $t\in\mathbb{R}$, let $[t]$ denote the greatest integer $\leq t$. Evaluate: $\displaystyle\lim_{x\to1^+}\dfrac{(1-|x|+\sin|1-x|)\sin\!\left(\dfrac{\pi}{2}[1-x]\right)}{|1-x|\cdot[1-x]}$

Equals 1
Equals 0✔️
Equals $-1$
Does not exist

Correct Answer Logic:

As $x\to1^+$: let $h=x-1>0$, so $h\to0^+$. Then $|1-x|=h$, $[1-x]=[-h]=-1$.

$\sin\!\left(\dfrac{\pi}{2}[-h]\right)=\sin\!\left(\dfrac{\pi}{2}\cdot(-1)\right)=\sin(-\pi/2)=-1$

Numerator: $(1-|x|+\sin h)\cdot(-1)$. As $x\to1^+$: $|x|=x=1+h$, so $1-|x|=-h$.

Numerator $= (-h+\sin h)(-1) = h-\sin h$

Denominator: $h\cdot(-1)=-h$

Limit $= \dfrac{h-\sin h}{-h} = -(1-\dfrac{\sin h}{h})\to-(1-1)=\mathbf{0}$

Uploaded by: Fani Warraich

Boilers Mechanical Engineering QUESTION #4016

Question 4122

'Refractory' material in a boiler furnace is used to:

Generate electricity
Withstand and reflect high temperatures while protecting the metal shell✔️
Act as a lubricant
Increase the weight of the boiler

Correct Answer Logic:

Firebricks and castables are used to line the furnace area.

Uploaded by: Fani Warraich

Physics QUESTION #378

Question 4123

The force required to bend the normally straight path of a particle into a circular path is called __________ force.

Traveling
Bending
Centrifugal
Centripetal✔️

Correct Answer Logic:

Centripetal force causes circular motion

Uploaded by: Fani Warraich

Reading and Writing (Module-1) QUESTION #5435

Question 4124

Economist Hlatshwayo found general uncertainty measures may not reflect specific policy uncertainty. For the UK, general economic policy uncertainty ____ using data from the graph.

aligned closely with tax/spending uncertainty in 2005 but differed greatly in 2009.
was substantially lower than tax/spending uncertainty each year from 2005-2010.
peaked in the same year that trade and tax/spending uncertainties were lowest.
was lower than trade uncertainty in 2005 and higher than trade uncertainty in 2010.✔️

Correct Answer Logic:

The claim is that general and specific measures differ; option D shows opposite patterns over time.

Uploaded by: Fani Warraich

Dairy Food Science and Technology QUESTION #5940

Question 4125

The rennet coagulation time (RCT) of milk is affected by all of the following EXCEPT:

Temperature (optimum $\approx 30\text{–}35^{\circ}\text{C}$ for chymosin)
$\text{pH}$ (optimum $\approx 6.0\text{–}6.2$; lower $\text{pH}$ accelerates coagulation)
Calcium ion concentration ($\text{Ca}^{2+}$) essential for micelle bridging
The color of the milk processing vessel✔️

Correct Answer Logic:

RCT is influenced by temperature (optimum $30\text{–}35^{\circ}\text{C}$); $\text{pH}$ (lower $\text{pH}$ increases $\text{Ca}^{2+}$ activity and promotes aggregation); and $\text{Ca}^{2+}$ concentration. Vessel color has no effect on enzymatic coagulation chemistry.

Uploaded by: Fani Warraich

Reading and Writing (Module-1) QUESTION #5403

Question 4126

The following text is adapted from Jack London's 1903 novel The Call of the Wild. Buck is a sled dog living with John Thornton in Yukon, Canada. Thornton alone held [Buck]. The rest of mankind was as nothing. Chance travellers might praise or pet him; but he was cold under it all, and from a too demonstrative man he would get up and walk away. When Thornton's partners, Hans and Pete, arrived on the long-expected raft, Buck refused to notice them till he learned they were close to Thornton; after that he tolerated them in a passive sort of way, accepting favors from them as though he favored them by accepting. Which choice best states the main idea of the text?

Buck has become less social since he began living with Thornton.
Buck mistrusts humans and does his best to avoid them.
Buck has been especially well liked by most of Thornton's friends.
Buck holds Thornton in higher regard than any other person.✔️

Correct Answer Logic:

The text emphasizes that Thornton alone held Buck's regard while 'the rest of mankind was as nothing,' showing Buck's special attachment to Thornton above all others.

Uploaded by: Fani Warraich

Urdu QUESTION #5218

Question 4127

محاورہ 'آب آب آنا' سے کیا مراد ہے؟

آنسو آنا✔️
غصہ آنا
بارش آنا
چمک آنا

Correct Answer Logic:

آب آب آنا محاورے کا مطلب ہے آنسو آنا یا شرم سے آنکھوں میں پانی آنا (عموماً 'آب آب ہونا' شرمندگی کے لیے ہے)۔

Uploaded by: Fani Warraich

Islamic Studies QUESTION #215

Question 4128

Which companion is known for his role in collecting the Qur'an?

Umar ibn al-Khattab
Zayd ibn Thabit✔️
Abu Hurairah
Ali ibn Abi Talib

Correct Answer Logic:

Zayd ibn Thabit (رضي الله عنه) headed the committee to compile the Qur'anic text.

Uploaded by: Fani Warraich

General Knowledge QUESTION #178

Question 4129

Largest importer of conventional arms for year 2023 (SIPRI)?

India✔️
Saudi Arabia
UAE
None of these

Correct Answer Logic:

India remains the world's top arms importer according to SIPRI reports.

Uploaded by: Fani Warraich

Math Physics Chemistry Biology QUESTION #4255

Question 4130

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.

Uploaded by: Fani Warraich

Logical Reasoning QUESTION #4430

Question 4131

The virus spreads rapidly in the town. It infected the people — First day: $8$, Second day: $16$, Third day: $32$. What will the number of infected people be on the next day?

44 people
56 people
64 people✔️
74 people

Correct Answer Logic:

The number of infected people doubles each day: $8 \rightarrow 16 \rightarrow 32 \rightarrow\ ?$. This is a geometric progression with common ratio $r = 2$. Next term $= 32 \times 2 = 64$ people.

Uploaded by: Fani Warraich

Chemistry QUESTION #1017

Question 4132

When sec-butylcyclohexane reacts with bromine in the presence of sunlight, the major product is:

Bromination at the ring (cyclohexyl position)
Bromination at the secondary carbon of the ring giving equatorial Br
Bromination at the tertiary carbon of the sec-butyl chain (most stable radical)✔️
Bromination at the secondary carbon of the butyl chain

Correct Answer Logic:

Free radical bromination is highly selective and preferentially attacks the most stable (tertiary) radical. The sec-butyl group has a tertiary C–H at the branch point. Bromine in sunlight selectively replaces the tertiary H, giving the tertiary bromide as the major product (option 3 in paper).

Uploaded by: Fani Warraich

English QUESTION #2686

Question 4133

Complete the conditional sentence: 'If I had known you were coming, I ___ a cake.'

will bake
would bake
would have baked✔️
baked

Correct Answer Logic:

This is a third conditional sentence (unreal past), which uses 'would have + past participle'.

Uploaded by: Fani Warraich

Egnlish QUESTION #697

Question 4134

The character "Big Brother" is a symbol of:

Guidance
Totalitarianism✔️
Brotherhood
None of these

Correct Answer Logic:

He represents the all-seeing, oppressive state that demands total obedience in Orwell's 1984.

Uploaded by: Fani Warraich

General Knowledge QUESTION #7720

Question 4135

A proper definition of Muslim is incorporated in the constitution:

1956
1962
1973✔️
None of these

Correct Answer Logic:

The 1973 Constitution of Pakistan includes a proper definition of Muslim, particularly after the Second Amendment in 1974, which defined who is considered a Muslim for constitutional purposes. This definition was significant for legal and constitutional matters.

Uploaded by: Fani Warraich

General Knowledge QUESTION #273

Question 4136

The Boao Forum for Asia was founded in:

2001✔️
2002
2003
None of these

Correct Answer Logic:

It was established in 2001 as a non-profit organization.

Uploaded by: Fani Warraich

Education QUESTION #6874

Question 4137

Which of the following represents the MOST critical distinction between an 'authoritative' teacher and an 'authoritarian' teacher in the context of classroom management?

The authoritative teacher relies on rewards while the authoritarian relies on punishment
The authoritative teacher maintains discipline through mutual respect and firmness, while the authoritarian uses coercive commands and dictatorial control✔️
The authoritative teacher allows permissive student behavior, while the authoritarian enforces strict zero-tolerance policies
The authoritative teacher is effective only in small classes, while the authoritarian approach works in large classes

Correct Answer Logic:

The authoritative teacher establishes clear boundaries and high expectations while maintaining a warm, respectful relationship with students. The authoritarian teacher enforces compliance through power, commands, and coercion without consideration for student agency. Authoritativeness fosters internalized discipline; authoritarianism fosters compliance through fear.

Uploaded by: Fani Warraich

Islamic Studies QUESTION #7924

Question 4138

Which Surah was recited by the Holy Prophet at the time of Hijrat?

Rehman
Yaseen✔️
Fateha
Akhlas

Correct Answer Logic:

The Prophet (PBUH) recited Surah Yaseen when he was leaving his house during the Hijrah to Medina. As the Quraish surrounded his house to kill him, he recited the initial verses of Surah Yaseen and threw dust toward them. Allah blinded them, and he safely passed through them unnoticed, demonstrating Allah's protection.

Uploaded by: Fani Warraich

CISA QUESTION #1792

Question 4139

Which data collection method should an IS auditor prioritize at the beginning of an audit engagement when sufficient resources are available?

Surveys that generate a broad participant sample
Review of existing organizational documentation
Direct observation by the auditor
Interviews with selected personnel✔️

Correct Answer Logic:

Interviewing key personnel is the most productive technique during the initial phase of an audit. While surveys, document reviews, and observations provide value, they yield comparatively less insight early on. In-depth technical testing is the required next step following the completion of initial interviews.

Uploaded by: Fani Warraich

Pakistan Affairs QUESTION #9116

Question 4140

Immediately before the formation of 'One Unit' in West Pakistan, Bahawalpur enjoyed the status of a:

Province✔️
Division
Tehsil
District

Correct Answer Logic:

Bahawalpur was a princely state with provincial status.

Uploaded by: Fani Warraich

More Options

Suggest a Question