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Study questions platform-wide or filter by specific tests with correct answers revealed.
Mathematics
QUESTION #4140
Question 3381
If $\vec{a} \cdot (\vec{b} \times \vec{c}) = 0$, what does this imply?
Correct Answer Logic:
The scalar triple product $\vec{a} \cdot (\vec{b} \times \vec{c})$ equals the volume of the parallelepiped formed by the three vectors. If zero, the vectors are coplanar (linearly dependent).
Uploaded by: Fani Warraich
Chemistry
QUESTION #7371
Question 3382
The energy (in joules) of light with wavelength 45 nm is: (Given: \(h = 6.63 \times 10^{-34}\) Js, \(c = 3 \times 10^8\) ms\(^{-1}\))
Correct Answer Logic:
Formula: \(E = \dfrac{hc}{\lambda}\)
\(E = \dfrac{6.63 \times 10^{-34} \times 3 \times 10^8}{45 \times 10^{-9}}\)
\(= \dfrac{19.89 \times 10^{-26}}{45 \times 10^{-9}}\)
\(= \dfrac{19.89}{45} \times 10^{-17}\)
\(= 0.442 \times 10^{-17} = 4.42 \times 10^{-18}\) J
This energy (in UV range) is enough to ionise hydrogen from ground state (\(13.6\) eV \(= 2.18 \times 10^{-18}\) J).
\(E = \dfrac{6.63 \times 10^{-34} \times 3 \times 10^8}{45 \times 10^{-9}}\)
\(= \dfrac{19.89 \times 10^{-26}}{45 \times 10^{-9}}\)
\(= \dfrac{19.89}{45} \times 10^{-17}\)
\(= 0.442 \times 10^{-17} = 4.42 \times 10^{-18}\) J
This energy (in UV range) is enough to ionise hydrogen from ground state (\(13.6\) eV \(= 2.18 \times 10^{-18}\) J).
Uploaded by: Fani Warraich
Correct Answer Logic:
DNA polymerases can only add new nucleotides to the free 3'-hydroxyl end of a growing strand, synthesizing DNA exclusively in the 5' to 3' direction; since the two template strands run antiparallel, one new strand (leading) can be synthesized continuously while the other (lagging) must be synthesized discontinuously as short Okazaki fragments, later joined by DNA ligase.
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Verbal Reasoning
QUESTION #8163
Question 3384
A graduating class has 236 students. Among them, 142 enrolled in algebra and 121 enrolled in chemistry. What is the greatest possible number of students who could have taken both algebra and chemistry?
Correct Answer Logic:
We want the maximum overlap between algebra students (142) and chemistry students (121).
The overlap is maximized when every chemistry student also took algebra (since 121 < 142, this is possible).
Maximum overlap $= \min(142, 121) = \mathbf{121}$.
Check: if 121 students took both, then students taking at least one subject $= 142 + 121 - 121 = 142 \leq 236$. ✓
So the greatest possible number is $121$.
Uploaded by: Fani Warraich
Chemistry
QUESTION #5567
Question 3385
Arrange the following substituted phenols in decreasing order of acidity: (I) 4-chlorophenol, (II) 4-methylphenol, (III) 4-nitrophenol, (IV) 4-methoxyphenol
Correct Answer Logic:
Acidity of phenols increases with electron-withdrawing groups (EWG) and decreases with electron-donating groups (EDG). $NO_2$ (strong EWG) makes phenol most acidic; $Cl$ (weak EWG); $CH_3$ and $OCH_3$ are EDGs (reduce acidity). Order of decreasing acidity: III ($NO_2$) > I ($Cl$) > II ($CH_3$) > IV ($OCH_3$), i.e., C is correct.
Uploaded by: Fani Warraich
General Intelligence/Ability
QUESTION #3963
Question 3386
A cylinder-shaped container has a $14$-inch diameter and stands $6$ inches tall. Given that $1$ gallon is equivalent to $231$ cubic inches, calculate the approximate volume of the container in gallons.
Boilers Mechanical Engineering
QUESTION #2474
Question 3387
The diametral pitch \(P_d\) (English units) and module \(m\) (SI units) are related by:
Correct Answer Logic:
The relationship between module and diametral pitch: \(m = 25.4/P_d\) (since 1 inch = 25.4 mm).
Uploaded by: Fani Warraich
Islamic Studies
QUESTION #649
Question 3388
The capital of the Umayyad dynasty was:
Correct Answer Logic:
Muawiyah I established Damascus as the central capital of the Umayyad Empire.
Uploaded by: Fani Warraich
Mathematics
QUESTION #1289
Question 3389
The limit \(\lim_{x\to0}\left(\dfrac{1}{\sin x}-\dfrac{1}{x}\right)\) equals:
Correct Answer Logic:
Combine fractions: \(\dfrac{x-\sin x}{x\sin x}\). As \(x\to0\), numerator \(x-\sin x\approx\dfrac{x^3}{6}\) and denominator \(x\sin x\approx x\cdot x=x^2\). So the limit \(\approx\dfrac{x^3/6}{x^2}=\dfrac{x}{6}\to0\). L'Hôpital or Taylor series confirms the limit is \(0\).
Uploaded by: Fani Warraich
MCQs Section
QUESTION #5099
Question 3390
اردو کا پہلا ڈرامہ کون سا تھا؟
Correct Answer Logic:
اردو کا پہلا ڈرامہ 'اندر سبھا' ہے جو آغا حسن امانت نے لکھا اور 1853ء میں لکھنؤ میں پہلی بار پیش کیا گیا۔
Uploaded by: Fani Warraich
Disaster Management
QUESTION #6525
Question 3391
In implementing the National Common Operating Picture (NCOP), what represents its most transformative capability?
Correct Answer Logic:
Section 5.2 describes NCOP as integrating automated hazard information, infrastructure data, and socio-economic layers for impact-based forecasting. This integrated, predictive capability transforms disaster management from reactive response to proactive, data-driven anticipatory action.
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Correct Answer Logic:
Section 95 CPC provides that where an arrest, attachment, or injunction is obtained on insufficient grounds, the Court in the same suit may award reasonable compensation to the defendant on his application. A separate suit is not required.
Uploaded by: Fani Warraich
Correct Answer Logic:
Angular width $2\theta = \frac{2\lambda}{a} = 60^\circ = \frac{\pi}{3} \text{ rad}$.
$\frac{\lambda}{a} = \frac{\pi}{6} \implies \lambda = \frac{\pi}{6} \times 1 \ \mu\text{m}$.
Fringe width $\beta = \frac{\lambda D}{d} = 1 \text{ cm} = 10^{-2} \text{ m}$.
$d = \frac{\lambda D}{\beta} = \frac{(\pi/6 \times 10^{-6}) \times 0.5}{0.01} \approx 26.1 \ \mu\text{m}$. The closest option is $25 \ \mu\text{m}$.
Uploaded by: Fani Warraich
Paper-II (Pharmacology and Social Behaviour, Law & Ethics and Computer Sciences)
QUESTION #5750
Question 3394
According to Young's Formula, what is the dose for a 6-year-old child if the standard adult dose is $600$ mg?
Correct Answer Logic:
Using Young's Formula: $\text{Child's Dose} = \frac{6 \times 600}{6 + 12} = 200$ mg.
Uploaded by: Fani Warraich
Security Measures to Maintain Law and Order
QUESTION #958
Question 3395
What does 'Pre-Boarding Screening' specifically aim to prevent?
Correct Answer Logic:
This is the final check to ensure no threat items enter the aircraft cabin.
Uploaded by: Fani Warraich
General Knowledge
QUESTION #8755
Question 3396
Which was the first international organization in modern history?
Correct Answer Logic:
The League of Nations (1920) was the first modern international organization.
Uploaded by: Fani Warraich
MCQs Section
QUESTION #5176
Question 3397
قبرستان، بھوت، چڑیل کس شاعر کے موضوعِ شاعری تھے؟
Correct Answer Logic:
منیر نیازی اردو شاعری میں قبرستان، رات، ڈر اور مافوق الفطرت موضوعات کے لیے مشہور ہیں۔
Uploaded by: Fani Warraich
Sociology
QUESTION #1659
Question 3398
Which sociological process describes the mechanism through which individuals internalize the norms, values, and behavioral expectations of the society they are born into?
Correct Answer Logic:
Socialization is the lifelong process by which individuals learn and internalize the cultural norms, values, roles, and behaviors expected of them in their society. It is distinct from assimilation (merging into a dominant culture) and institutionalization (embedding practices into formal structures).
Uploaded by: Fani Warraich
Paper-I (Anatomy/Physiology and Biochemistry/Microbiology)
QUESTION #3467
Question 3399
'Maltose' is a disaccharide commonly known as:
Math Physics Chemistry Biology
QUESTION #4283
Question 3400
The most primitive respiratory process occurring in a living cell is:
Correct Answer Logic:
Glycolysis is the most ancient and primitive form of cellular respiration, occurring in the cytoplasm without oxygen. It is universal among all living organisms.
Uploaded by: Fani Warraich
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