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Mathematics QUESTION #11182
Question 1
Which of the following is nowhere dense in $\mathbb{R}$?
  • $\mathbb{R}\setminus\mathbb{Z}$
  • $\mathbb{Z}$โœ”๏ธ
  • $\cup(n,n+1),\,n\in\mathbb{Z}$
  • $\mathbb{Q}$
Correct Answer Logic:
A set $A$ is nowhere dense if the interior of its closure is empty. $\mathbb{Z}$ is closed and its interior is empty (no open interval is contained in $\mathbb{Z}$), so $\overline{\mathbb{Z}}^0 = \mathbb{Z}^0 = \emptyset$. Thus $\mathbb{Z}$ is nowhere dense. $\mathbb{Q}$ is dense in $\mathbb{R}$ (not nowhere dense); $\mathbb{R}\setminus\mathbb{Z}$ is open and dense.
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Education QUESTION #11641
Question 2
Which is considered the “master emotion” in human psychology?
  • Happiness
  • Worry
  • Fearโœ”๏ธ
  • None of these
Correct Answer Logic:

Fear is considered the “master emotion” because it is the most fundamental survival emotion. Evolutionary psychologists argue that fear underlies many other emotional responses and has the most powerful influence on behavior, decision-making, and mental processes.

Correct Answer: C — Fear.

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Pharmacology and Toxicology QUESTION #3854
Question 3
Which co-administered drug poses the greatest risk of serotonin syndrome when combined with the reversible MAO-A inhibitor moclobemide?
  • Ranitidine
  • Nitrazepam
  • Sumatriptanโœ”๏ธ
  • Furosemide
Correct Answer Logic:
Sumatriptan is a serotonin agonist ($5\text{-HT}_{1\text{B}/1\text{D}}$). Combined with moclobemide, it can cause serotonin syndrome due to excessive serotonergic activity.
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General Knowledge QUESTION #11435
Question 4
The word 'Computer' originates from which language?
  • Latinโœ”๏ธ
  • German
  • French
  • Arabic
Correct Answer Logic:
The word Computer is derived from the Latin word computare, meaning 'to calculate.' It originally described a person who performed calculations, and was later applied to mechanical and electronic machines that perform computations automatically.
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Maths QUESTION #7988
Question 5
The equation \(x + a = b\) has a solution in the set of natural numbers if:
  • a < bโœ”๏ธ
  • a > b
  • a = b
  • None of these
Correct Answer Logic:
\(x + a = b \Rightarrow x = b - a\). For \(x\) to be a natural number (positive integer), we need \(b - a \geq 1\), i.e., \(b > a\), or equivalently \(a < b\).
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The Elections Act 2017 QUESTION #9458
Question 6
Under Section 139(1), a fundamental limitation on election disputes is that no election shall be called in question except by an election petition filed by a:
  • Registered voter of the constituency
  • Candidate for that electionโœ”๏ธ
  • Political party that participated in the election
  • Any citizen of Pakistan
Correct Answer Logic:
Section 139(1) states: 'No election shall be called in question except by an election petition filed by a candidate for that election' โ€” standing is strictly limited to candidates, not voters or parties generally.
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Correct Answer Logic:
By the complement rule of probability, \(P(A^c) = 1 - P(A)\). Since \(P(A) + P(A^c) = 1\), the complement probability is always \(1 - P(A)\).
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Correct Answer Logic:
Magnetic moment \(\mu = IA = I\pi r^2\). Same current \(I\). Ratio: \(\frac{\mu_1}{\mu_2}=\frac{r_1^2}{r_2^2}=\frac{1^2}{2^2}=\frac{1}{4}\). So \(\mu_1:\mu_2=1:4\).
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Quantitative Reasoning QUESTION #8020
Question 9
Choose the word that is most nearly opposite in meaning to LOQUACIOUS
  • tranquil
  • skeptical
  • morose
  • taciturnโœ”๏ธ
Correct Answer Logic:
LOQUACIOUS means very talkative or chatty. The opposite would be quiet or not talkative. Taciturn is correct: taciturn means reserved, uncommunicative, or saying little, which is the direct opposite of loquacious (very talkative).
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Education QUESTION #10885
Question 10
Inner faculties and intellectual processing are primarily concerned with:
  • Cognitionโœ”๏ธ
  • Personality
  • Measurement
  • Aptitude
Correct Answer Logic:
Cognition refers to all mental processes involved in acquiring, processing, storing, and using knowledge โ€” including perception, attention, memory, reasoning, problem-solving, language, and decision-making. It encompasses the 'inner faculties' and 'intellectual processing' of the mind. Personality concerns character traits and behaviour patterns; measurement involves quantification; aptitude is potential for specific learning โ€” but the broad category of internal mental processing is cognition.
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Correct Answer Logic:
Repression is Freud's foundational defense mechanism in which the ego unconsciously excludes anxiety-provoking thoughts, memories, or impulses from conscious awareness. Unlike suppression (conscious avoidance), repression is automatic and involuntary. Freud believed that repressed material does not disappear but continues to influence behavior, dreams, and psychological symptoms. It is the basis of his psychoanalytic theory of neurosis.
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ETAG General Aptitude QUESTION #3769
Question 12 (Select all that apply)
Which of the following numbers are prime numbers between 1 and 10?
  • 2โœ”๏ธ
  • 3โœ”๏ธ
  • 4
  • 5โœ”๏ธ
Correct Answer Logic:
2, 3, and 5 are prime numbers. 4 is a composite number ($2 \times 2$).
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Pakistan Affairs QUESTION #315
Question 13
What is the total cost of China-Pakistan Economic Corridor (CPEC)?
  • $72 Billion
  • $ 62 Billionโœ”๏ธ
  • $26 Billion
  • $ 32 Billion
Correct Answer Logic:
While the initial investment was $46 billion, it was later updated to approximately $62 billion.+1
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Correct Answer Logic:
'She' is a personal pronoun that replaces a noun (a person's name). 'Gave' is a verb, 'gift' is a noun, and 'a' is an article.
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Physics QUESTION #1164
Question 15
In which process is all the heat supplied converted into work done?
  • Isothermalโœ”๏ธ
  • Isochoric
  • Isobaric
  • Isentropic
Correct Answer Logic:
In a reversible isothermal process (constant temperature) for an ideal gas, the internal energy change \(\Delta U = 0\) (since \(U\) depends only on temperature). By the first law: \(Q = \Delta U + W = W\). So all heat supplied is entirely converted to work done.
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Correct Answer Logic:
A general \(2\times2\) symmetric matrix is \(\begin{pmatrix}a&b\\b&c\end{pmatrix}\) with 3 free parameters. A basis for \(W\) is \(\left\{\begin{pmatrix}1&0\\0&0\end{pmatrix},\begin{pmatrix}0&1\\1&0\end{pmatrix},\begin{pmatrix}0&0\\0&1\end{pmatrix}\right\}\). Hence \(\dim(W)=3\).
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Social Studies QUESTION #10033
Question 17
The influential work 'The Second Sex' was authored by:
  • Betty Friedan
  • Gloria Steinem
  • Audre Lorde
  • Simone de Beauvoirโœ”๏ธ
Correct Answer Logic:
'The Second Sex' (1949) was written by Simone de Beauvoir.
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Correct Answer Logic:
Group 15 non-metals: N, P, As, Sb. The weakest \(E-E\) bond among non-metals is for nitrogen (Nโ€“N is weaker than Pโ€“P due to lone pair repulsion in small atoms). Nitrogen has no \(d\)-orbitals and maximum covalency of 4 (e.g., in \(\text{NH}_4^+\), using the lone pair to form a dative bond). Maximum covalency of N \(= 4\).
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Biology Zoology Botany QUESTION #1361
Question 19
The phase of mitosis in which chromosomes align at the cell's equator is called:
  • Anaphase
  • Telophase
  • Metaphaseโœ”๏ธ
  • Prophase
Correct Answer Logic:
During metaphase (the middle phase of mitosis), chromosomes become maximally condensed and are aligned along the cell's equatorial plane (metaphase plate) by spindle fibres attached to the centromeres (kinetochores). This alignment ensures accurate segregation of sister chromatids to the two daughter cells in the subsequent anaphase.
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Nursing QUESTION #9209
Question 20
In quantitative nursing research, what is the PRIMARY purpose of randomization in an experimental study?
  • To ensure the sample is large enough for statistical significance
  • To distribute known and unknown confounding variables equally between groupsโœ”๏ธ
  • To eliminate all sources of measurement error
  • To guarantee that the study findings will be generalizable
Correct Answer Logic:
Correct Answer: B

Randomization is the process of randomly assigning participants to experimental or control groups. Its PRIMARY purpose is to:

Equally distribute both known and unknown confounding variables between groups

This ensures that any observed differences in outcomes can be attributed to the intervention rather than pre-existing group differences.

Key benefits of randomization:
  • Controls for selection bias
  • Distributes confounders (age, comorbidities, severity) evenly
  • Strengthens internal validity
  • Is the basis for the RCT โ€” the gold standard of research design
Randomization does not eliminate measurement error (that requires reliability measures) or guarantee generalizability (that requires representative sampling).
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