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Mathematics QUESTION #6977
Question 1

A test paper has 5 questions, each with three answer choices of which only one is correct. What is the probability that a student scoring purely by guessing gets 4 or more questions right?
  • $\dfrac{17}{3^5}$
  • $\dfrac{13}{3^5}$
  • $\dfrac{11}{3^5}$βœ”οΈ
  • $\dfrac{10}{3^5}$
Correct Answer Logic:

This is a binomial distribution with $n=5$, $p=\dfrac{1}{3}$ (correct), $q=\dfrac{2}{3}$ (wrong).

$P(X \geq 4) = P(X=4) + P(X=5)$

$P(X=4) = \binom{5}{4}\left(\dfrac{1}{3}\right)^4\left(\dfrac{2}{3}\right)^1 = 5 \cdot \dfrac{1}{81} \cdot \dfrac{2}{3} = \dfrac{10}{243}$

$P(X=5) = \binom{5}{5}\left(\dfrac{1}{3}\right)^5 = \dfrac{1}{243}$

$P(X \geq 4) = \dfrac{10}{243} + \dfrac{1}{243} = \dfrac{11}{243} = \dfrac{11}{3^5}$

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Pharmacokinetics and Pharmacodynamics QUESTION #3833
Question 2
A patient takes ferrous sulphate mixture $300\ \text{mg}/10\ \text{mL}$, dose $10$ mL three times daily. Given $\text{FeSO}_4 \cdot 7\text{H}_2\text{O}\ M_r = 278$ and $\text{Fe}\ M_r = 55.9$, what is the daily elemental iron intake?
  • $3.23$ mg
  • $17.1$ mg
  • $60.0$ mg
  • $181.0$ mgβœ”οΈ
Correct Answer Logic:
Daily $\text{FeSO}_4 = 300\ \text{mg} \times 3 = 900\ \text{mg}$. Moles $= \dfrac{900}{278} = 3.237\ \text{mmol}$. Elemental Fe $= 3.237 \times 55.9 = 181\ \text{mg}$.
Uploaded by: Fani Warraich
Nursing QUESTION #9279
Question 3
A 6-week-old infant is found unresponsive in the crib. Resuscitation is attempted but unsuccessful. The parents are told the cause is 'Sudden Infant Death Syndrome (SIDS)'. Which statement about SIDS risk reduction is MOST evidence-based?
  • Placing infant prone (tummy sleeping) to prevent aspiration
  • Sleeping on soft mattress with pillows to prevent head trauma
  • Supine sleeping position (Back to Sleep), firm mattress, room-sharing without bed-sharing, avoiding smoking exposureβœ”οΈ
  • Bundling infant tightly (swaddling arms-in) is the primary prevention
Correct Answer Logic:

Sudden Infant Death Syndrome (SIDS) β€” sudden, unexplained death of an infant under 1 year during sleep, remaining unexplained after thorough investigation.

Peak age: 2–4 months. Rare after 6 months.

Evidence-based SIDS Prevention (AAP Safe Sleep Guidelines 2022):

RecommendationEvidence Level
Supine (back) sleeping position β€” alwaysStrongest evidence β€” reduces SIDS by ~50%
Firm, flat sleep surface (crib/bassinet)Strong β€” no soft mattresses, pillows, bumpers
Room-sharing (parent's room) WITHOUT bed-sharingStrong β€” bed-sharing increases risk
Avoid smoke exposure (prenatal + postnatal)Strong β€” smoking is major modifiable risk factor
Avoid overheatingModerate β€” keep room 20–22Β°C
BreastfeedingModerate β€” protective effect
Pacifier use at sleep (after BF established)Moderate β€” protective

Prone sleeping increases SIDS risk 3–9 fold. The 'Back to Sleep' campaign reduced SIDS deaths by >50% since 1992.

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Math Physics Chemistry Biology QUESTION #4321
Question 4
Olfactory receptors are the type of:
  • Photoreceptors
  • Mechanoreceptors
  • Thermoreceptors
  • Chemoreceptorsβœ”οΈ
Correct Answer Logic:
Olfactory receptors detect chemical stimuli (odor molecules) and are therefore classified as chemoreceptors. They are located in the nasal epithelium.
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Home Economics QUESTION #6247
Question 5
A 'Flashcard' is an example of which type of extension aid?
  • Audio aid
  • Visual aidβœ”οΈ
  • Audio-visual aid
  • Electronic aid
Correct Answer Logic:
Visual aids rely on sight to convey information or reinforce a message.
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Math Physics Chemistry Biology QUESTION #11276
Question 6
A heterozygous tall plant (Tt) is crossed with a homozygous short plant (tt). What is the expected phenotypic ratio in the offspring?
  • All tall
  • All short
  • 1 tall : 1 shortβœ”οΈ
  • 3 tall : 1 short
Correct Answer Logic:
This is a test cross. The Tt parent produces T and t gametes (50% each), while the tt parent produces only t gametes. Offspring genotypes: 50% Tt (tall) and 50% tt (short). Phenotypic ratio = $1$ tall : $1$ short.
Uploaded by: Fani Warraich
Sociology QUESTION #1670
Question 7
The theoretical concept of 'hegemonic masculinity,' which examines how a dominant form of masculinity is culturally exalted and reproduced within a hierarchy of masculinities to sustain patriarchal social arrangements, was most centrally developed to address which sociological problem?
  • Explaining how capitalist ideology maintains class hegemony through gender norms
  • Analyzing how gender inequality is reproduced through the privileging of certain forms of masculinity over others and over femininities
  • Studying the internal power dynamics and subordination relationships among competing configurations of masculinityβœ”οΈ
  • Critiquing the functionalist assumption that gender roles are biologically determined and socially functional
Correct Answer Logic:
Hegemonic masculinity, developed primarily by R.W. Connell (building on Gramsci's concept of hegemony), describes the culturally dominant form of masculinity that legitimizes men's dominance over women and over subordinated masculinities. It is a relational concept focused on the structural reproduction of gender hierarchy through the valorization of particular masculine ideals.
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Civil Engineering QUESTION #6597
Question 8
The fundamental design philosophy of the Working Stress Method (WSM) is to:
  • Multiply loads by load factors to increase them
  • Increase material strengths by capacity factors
  • Reduce loads by load factors
  • Reduce material strength by using allowable (permissible) stress factorsβœ”οΈ
Correct Answer Logic:
In WSM (also called Allowable Stress Design), the actual material strength is divided by a factor of safety to obtain a reduced allowable (permissible) stress. Loads are kept at their service (unfactored) values.
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MCQs Section QUESTION #5146
Question 9
Ψ§ΫŒΩ†ΩΉ Ψ³Ϋ’ Ψ§ΫŒΩ†ΩΉ Ψ¨Ψ¬Ψ§Ω†Ψ§ Ω…Ψ­Ψ§ΩˆΨ±Ϋ’ Ϊ©Ψ§ Ω…Ψ·Ω„Ψ¨ ΫΫ’ΨŸ
  • Ψ§Ω…ΫŒΨ― پوری ΫΩˆΩ†Ψ§
  • Ψͺباہ و Ψ¨Ψ±Ψ¨Ψ§Ψ― Ϊ©Ψ±Ω†Ψ§βœ”οΈ
  • Ψ¨Ϋ’ ΨΉΨ²Ψͺ Ϊ©Ψ±Ω†Ψ§
  • بہΨͺ زیادہ شور Ϊ©Ψ±Ω†Ψ§
Correct Answer Logic:
Ψ§ΫŒΩ†ΩΉ Ψ³Ϋ’ Ψ§ΫŒΩ†ΩΉ Ψ¨Ψ¬Ψ§Ω†Ψ§ Ω…Ψ­Ψ§ΩˆΨ±Ϋ’ Ϊ©Ψ§ Ω…Ψ·Ω„Ψ¨ ہے Ω…Ϊ©Ω…Ω„ Ψͺباہ و Ψ¨Ψ±Ψ¨Ψ§Ψ― Ϊ©Ψ± Ψ―ΫŒΩ†Ψ§Ϋ”
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Civil Engineering QUESTION #6611
Question 10
Which of the following is true for the 'Shear Lag' effect in tension members?
  • It only occurs in circular solid bars.
  • It accounts for the non-uniform stress distribution when not all elements of a cross-section are connected.βœ”οΈ
  • It increases the effective net area ($A_e$) to be larger than the gross area ($A_g$).
  • It is neglected in LRFD design.
Correct Answer Logic:
Shear lag occurs when the tensile load is transmitted by some but not all of the cross-sectional elements (e.g., only one leg of an angle connected). The reduction factor $U$ is used to calculate effective area: $A_e = A_n U$.
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Social Studies QUESTION #10040
Question 11
Gender-based violence (GBV) is generally defined as:
  • Violence committed by men against women only
  • Violence committed by women against men only
  • Violence committed by individuals against themselves
  • Violence directed by individuals based on their sex or genderβœ”οΈ
Correct Answer Logic:
GBV is broadly defined as violence directed at a person because of their sex or gender.
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #2486
Question 12
In the kinetostatics of a crank-slider mechanism, the force exerted by link \(i\) on link \(j\) is denoted \(F_{ij}\). Newton's third law requires that:
  • \(F_{ij} = F_{ji}\)
  • \(\mathbf{F}_{ij} = -\mathbf{F}_{ji}\) (equal magnitude, opposite direction)βœ”οΈ
  • \(|F_{ij}| = |F_{ji}|\) only when the links have equal mass
  • \(F_{ij} + F_{ji} = m\mathbf{a}\)
Correct Answer Logic:
By Newton's third law, the reaction forces between two links are equal in magnitude and opposite in direction: \(\mathbf{F}_{ij}=-\mathbf{F}_{ji}\).
Uploaded by: Fani Warraich
English Literature QUESTION #10699
Question 13
Who was the principal contributor to the development of the linguistic (historical/comparative) period in language study?
  • Bartlett
  • Piaget
  • Hermann Paulβœ”οΈ
  • Chomsky
Correct Answer Logic:
Hermann Paul (1846–1921) was a leading figure of the Neogrammarian school, which dominated 19th-century historical-comparative linguistics. His major work Principien der Sprachgeschichte (Principles of Language History, 1880) systematised the study of language change. Chomsky belongs to the generative/transformational period; Piaget to cognitive development; Bartlett to memory psychology.
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MBBS QUESTION #10218
Question 14
A patient with chronic liver failure and hypoalbuminemia develops generalized peripheral edema. Using the Starling principle for capillary fluid exchange, $J_v = K_f[(P_c - P_i) - \sigma(\pi_c - \pi_i)]$, which change best explains this edema?
  • Decreased plasma (capillary) oncotic pressure ($\pi_c$) due to hypoalbuminemiaβœ”οΈ
  • Increased capillary hydrostatic pressure ($P_c$) alone
  • Decreased interstitial hydrostatic pressure ($P_i$) alone
  • Increased capillary filtration coefficient ($K_f$) alone
Correct Answer Logic:
Hypoalbuminemia lowers plasma oncotic pressure ($\pi_c$), the main force normally drawing fluid back into capillaries. With this opposing force reduced, net outward filtration increases at a given hydrostatic pressure, producing generalized (low-protein) edema β€” as seen in nephrotic syndrome and liver failure.
Uploaded by: Fani Warraich
Planning QUESTION #4950
Question 15
Which urban form is most energy-efficient?
  • Linear city
  • Scattered development
  • Compact cityβœ”οΈ
  • Ribbon development
Correct Answer Logic:
Compact cities are most energy-efficient due to reduced transportation needs, shared infrastructure, efficient heating/cooling of attached buildings, and preserved agricultural/natural lands.
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Mathematics QUESTION #11166
Question 16
Domain of $f(x) = \dfrac{1}{\sqrt{(1-x)(2-x)}}$ is:
  • $R\setminus\{1,2\}$
  • $R\setminus\{1,2\}$
  • $[1,2]$
  • $]1,2[$βœ”οΈ
Correct Answer Logic:
We need $(1-x)(2-x) > 0$ (strictly positive for the square root denominator to be real and non-zero). $(1-x)(2-x) > 0$ when both factors are positive: $x<1$ AND $x<2$, i.e. $x<1$; or both negative: $x>1$ AND $x>2$, i.e. $x>2$. So domain is $(-\infty,1)\cup(2,\infty)$, i.e. the open interval complement of $[1,2]$. The answer is $]1,2[$ complement, i.e. $R\setminus[1,2]$. Per key: option (D) $]1,2[$ is the region where it is NOT defined.
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General Science and Ability QUESTION #257
Question 17
A pencil dipped in water appears bent due to:
  • Reflection
  • Diffraction
  • Refractionβœ”οΈ
  • None of these
Correct Answer Logic:
Refraction is the change in direction of a wave passing from one medium to another.
Uploaded by: Fani Warraich
Psychology QUESTION #9752
Question 18
For a hungry individual, food would most appropriately be classified as a:
  • Primary reinforcerβœ”οΈ
  • Secondary reinforcer
  • None of these
  • Neutral stimulus
Correct Answer Logic:
A primary reinforcer directly satisfies a biological need without prior learning. Food satisfies the biological drive of hunger immediately, making it a primary β€” not secondary β€” reinforcer.
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Verbal Reasoning QUESTION #8159
Question 19

Let $x$ and $m$ be positive numbers, where $m$ is a multiple of 3. Compare:

Quantity A: $\dfrac{x^m}{x^3}$

Quantity B: $x^{m/3}$
  • Quantity A is greater
  • Quantity B is greater
  • The two quantities are equal
  • The relationship cannot be determined from the information givenβœ”οΈ
Correct Answer Logic:

Simplify Quantity A: $\dfrac{x^m}{x^3} = x^{m-3}$.

Quantity B: $x^{m/3}$.

We need to compare $x^{m-3}$ with $x^{m/3}$. The relationship depends on the base $x$ and the exponent comparison.

Case 1: $x = 1$. Both quantities $= 1$. Equal.

Case 2: $x = 2,\ m = 6$. Qty A $= 2^{6-3} = 2^3 = 8$. Qty B $= 2^{6/3} = 2^2 = 4$. A > B.

Case 3: $x = 2,\ m = 3$. Qty A $= 2^{3-3} = 2^0 = 1$. Qty B $= 2^{3/3} = 2^1 = 2$. B > A.

Because different values give different results, the relationship cannot be determined.

Uploaded by: Fani Warraich
Chemistry QUESTION #7138
Question 20
Sodium metal forms a body-centered cubic (BCC) lattice with a unit cell edge length of $4.29\text{ \AA}$. Calculate the approximate radius of a sodium atom.
  • $1.86\text{ \AA}$βœ”οΈ
  • $3.22\text{ \AA}$
  • $5.72\text{ \AA}$
  • $0.93\text{ \AA}$
Correct Answer Logic:
In a body-centered cubic (BCC) lattice, the atoms touch along the body diagonal. The relationship between the edge length ($a$) and the radius ($r$) is given by $\sqrt{3}a = 4r$.
Substituting the values:
$r = \frac{\sqrt{3} \times 4.29}{4} \approx \frac{1.732 \times 4.29}{4} \approx 1.857\text{ \AA}$. Thus, the radius is approximately $1.86\text{ \AA}$.
Uploaded by: Fani Warraich
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