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Mathematics QUESTION #6015

If the matrix $P = \begin{pmatrix}1 & \alpha & 3\\1 & 3 & 3\\2 & 4 & 4\end{pmatrix}$ is the adjoint of a $3\times3$ matrix $A$ with $|A|=4$, find $\alpha$.

4
11✔️
5

Correct Answer Logic:

We use the property: $|adj(A)| = |A|^{n-1}$ for an $n\times n$ matrix. Here $n=3$, so $|P| = |A|^2 = 16$.

Compute $|P|$ by expanding along row 1 (with unknown $\alpha$):

$|P| = 1(3\cdot4-3\cdot4) - \alpha(1\cdot4-3\cdot2) + 3(1\cdot4-3\cdot2)$

$= 1(0) - \alpha(4-6) + 3(4-6) = 2\alpha - 6$

Setting $2\alpha - 6 = 16 \Rightarrow 2\alpha = 22 \Rightarrow \alpha = \mathbf{11}$

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Accounting & Finance QUESTION #6120

Question 2

An employee works 40 hours/week at $8/hour. Bonus: 30% of hourly rate per hour of time saved. Standard time: 30 minutes per unit. Last week: 40 hours worked, 90 units produced. What were her total earnings?

$320
$332✔️
$360
$416

Correct Answer Logic:

Option B ($332) is correct.

Basic pay: 40 × $8 = $320

Allowed time for 90 units = 45 hours; Actual = 40 hours; Time saved = 5 hours

Bonus = 5 × (30% × $8) = 5 × $2.40 = $12

Total = $320 + $12 = $332

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General Knowledge QUESTION #11568

Question 3

In Microsoft Excel, which shortcut applies the Percentage format to a selected cell?

Ctrl + Shift + 6
Ctrl + Shift + 3
Ctrl + Shift + 5✔️
Ctrl + 1

Correct Answer Logic:

Ctrl+Shift+5 applies Percentage format (%) to selected cells in MS Excel. Other formatting shortcuts: Ctrl+Shift+1 = Number (2 decimal places); Ctrl+Shift+2 = Time; Ctrl+Shift+3 = Date; Ctrl+Shift+4 = Currency ($); Ctrl+Shift+6 = Scientific notation; Ctrl+1 = Format Cells dialog.

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Molecular Biology / Bioinformatics / Biochemistry QUESTION #11112

Question 4

The non-protein (organic or inorganic) part of an enzyme is known as the:

Holoenzyme
Vitamin
Apoenzyme
Prosthetic group✔️

Correct Answer Logic:

The prosthetic group is the non-protein component of an enzyme that is tightly (often covalently) bound to the apoenzyme and essential for catalytic activity. Examples: heme in catalase and peroxidase; FAD in succinate dehydrogenase; biotin in pyruvate carboxylase. The holoenzyme = apoenzyme + cofactor (complete, active enzyme); the apoenzyme = protein part alone (inactive without cofactor). Some sources use 'prosthetic group' for tightly bound cofactors and 'coenzyme' for loosely bound ones.

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Math Physics Chemistry Biology QUESTION #4211

Question 5

Fibrocartilage is found in:

Trachea
Nose
Knee joint✔️
Ear flaps

Correct Answer Logic:

Fibrocartilage is found in knee joints.

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General Ability and Fire Fighting QUESTION #5622

Question 6

What risk does using water on a flammable liquid (Class B) fire pose?

It creates a toxic gas
It can spread the burning liquid✔️
It cools the liquid too quickly causing an explosion
It has no special risk

Correct Answer Logic:

Water applied to a flammable liquid fire can cause the burning liquid to splash and spread

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MBBS QUESTION #10231

Question 7

In myasthenia gravis, autoantibodies most characteristically target which structure, producing fatigable skeletal muscle weakness that improves with rest and anticholinesterase drugs?

Presynaptic voltage-gated calcium channels
Postsynaptic nicotinic acetylcholine receptors at the neuromuscular junction✔️
Acetylcholinesterase enzyme itself
Presynaptic voltage-gated sodium channels

Correct Answer Logic:

Myasthenia gravis is caused by autoantibodies against postsynaptic nicotinic ACh receptors, progressively reducing the number of functional receptors and producing fatigable weakness that worsens with repeated use — in contrast to Lambert-Eaton myasthenic syndrome, which targets presynaptic voltage-gated calcium channels and characteristically improves with repeated activity.

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Accounting & Finance QUESTION #9649

Question 8

A dependent branch sells goods at a markup of 20% on cost. Opening Stock = Rs. 30,000; Goods Sent to Branch = Rs. 90,000; Cash Sales = Rs. 120,000. What is the Closing Stock?

Rs. 20,000✔️
Rs. 15,000
Rs. 25,000
Rs. 10,000

Correct Answer Logic:

COGS at cost = 120,000 × 100/120 = Rs. 100,000. Closing Stock = Opening Stock + Goods Sent – COGS = 30,000 + 90,000 – 100,000 = Rs. 20,000. This is the standard method for calculating closing stock when markup is given.

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Math Physics Chemistry Biology QUESTION #11300

Question 9

Which of the following is the correct order of events in eukaryotic gene expression?

Transcription $\to$ RNA splicing $\to$ Translation $\to$ Protein folding✔️
Translation $\to$ Transcription $\to$ RNA splicing $\to$ Protein modification
Transcription $\to$ Translation $\to$ RNA splicing
RNA splicing $\to$ Transcription $\to$ Translation

Correct Answer Logic:

In eukaryotes, gene expression follows: transcription (DNA $\to$ pre-mRNA in nucleus) $\to$ RNA processing/splicing (removal of introns, addition of 5' cap and poly-A tail) $\to$ translation (mRNA $\to$ protein in cytoplasm) $\to$ protein folding and modification.

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Ability / HR / Governance / Special Education QUESTION #1934

Question 10

Under Schedule VI which body/authority submits cases to the President for orders in his discretion?

All Federal Divisions for their respective subjects
Only the Cabinet Division (for appointment of caretaker PM) and the Parliamentary Affairs Division (for dissolution of National Assembly under Article 58(2))✔️
Only the Parliamentary Affairs Division
The Prime Minister on advice of the Cabinet

Correct Answer Logic:

Schedule VI (Rule 15-A(2)) lists only two categories of cases for the President's orders in his own discretion: (1) Appointment of Care-taker Prime Minister under Article 224(1A) — Cabinet Division; and (2) Dissolution of National Assembly under Article 58(2) — Parliamentary Affairs Division.

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MCQs Section QUESTION #4469

Question 11

Translate: لاہور باغات کیلئے مشہور ہے۔ (Lahore is famous for gardens.)

Lahore was known for gardens.
Lahore will be known for gardens.
Lahore were known for gardens.
None of these✔️

Correct Answer Logic:

The original sentence is in the present tense ('hai'), while the options provided are in past or future tense. Therefore, 'None of these' is correct.

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Education QUESTION #10908

Question 12

What we want to achieve educationally at the end of instruction are called:

Goals
Research findings
Teaching objectives✔️
Plan targets

Correct Answer Logic:

Teaching objectives (instructional objectives) are the specific, measurable statements of what students should know, understand, or be able to do by the end of a lesson or unit. They translate broad educational goals into concrete, achievable outcomes for specific instruction. Objectives are precise (observable, measurable), time-bound (end of lesson/unit), and student-focused. Robert Mager's criteria for good objectives: observable behaviour, conditions, and acceptable performance standard.

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General Knowledge QUESTION #8980

Question 13

The single biggest hybrid power generating site is located in which country?

Brazil
United States
India
China✔️

Correct Answer Logic:

China has large hybrid power sites (e.g., Longyangxia). Key says D China.

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Physics QUESTION #7074

Question 14

Consider the nuclear reaction: $^{20}Ne \rightarrow 2 ^{4}He + ^{12}C$. The binding energy per nucleon for $^{20}Ne$, $^{4}He$, and $^{12}C$ is $8.03 \text{ MeV}$, $7.07 \text{ MeV}$, and $7.86 \text{ MeV}$ respectively. Which statement regarding the energy of this reaction is true?

An energy of $12.4 \text{ MeV}$ must be supplied
$8.3 \text{ MeV}$ of energy is released
An energy of $3.6 \text{ MeV}$ is released
An energy of $11.9 \text{ MeV}$ must be supplied✔️

Correct Answer Logic:

Total Binding Energy ($BE$) of Reactant ($^{20}Ne$) $= 20 \times 8.03 = 160.6 \text{ MeV}$. Total $BE$ of Products $= (2 \times 4 \times 7.07) + (12 \times 7.86) = 56.56 + 94.32 = 150.88 \text{ MeV}$. The energy of the reaction ($Q$-value) is $BE_{products} - BE_{reactants} = 150.88 - 160.6 = -9.72 \text{ MeV}$. A negative value indicates energy must be supplied. The closest calculated value based on precise JEE data is $11.9 \text{ MeV}$.

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Education QUESTION #6726

Question 15

When a teacher focuses exclusively on left-hemisphere activities (logical, verbal, sequential), students are MOST likely to:

Develop balanced cognitive abilities
Show limited development in creativity and spatial reasoning✔️
Excel in all academic areas
Demonstrate superior problem-solving

Correct Answer Logic:

Left-hemisphere dominance develops verbal, logical, and analytical skills but neglects right-hemisphere functions (creativity, spatial reasoning, intuition, holistic thinking). Balanced instruction should engage both hemispheres to develop complete cognitive capabilities.

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Civil / Architecture QUESTION #2369

Question 16

In the Slope-Deflection Method for analysis of indeterminate beams and frames, the slope-deflection equation for the near-end moment $M_{AB}$ of member $AB$ with near-end rotation $\theta_A$, far-end rotation $\theta_B$, chord rotation $\psi = \Delta/L$, and Fixed-End Moment $FEM_{AB}$ is:

$M_{AB} = \dfrac{2EI}{L}(2\theta_A + \theta_B - 3\psi) + FEM_{AB}$✔️
$M_{AB} = \dfrac{EI}{L}(4\theta_A + 2\theta_B - 6\psi) + FEM_{AB}$
$M_{AB} = \dfrac{2EI}{L}(\theta_A + 2\theta_B - 3\psi) + FEM_{AB}$
$M_{AB} = \dfrac{4EI}{L}(\theta_A - \theta_B) + FEM_{AB}$

Correct Answer Logic:

The slope-deflection equation is $M_{AB} = \dfrac{2EI}{L}(2\theta_A + \theta_B - 3\psi) + FEM_{AB}$, where $\theta_A$ is near-end rotation, $\theta_B$ is far-end rotation, and $\psi = \Delta/L$ is the chord rotation due to relative settlement or sway. The near-end joint rotation carries a coefficient twice that of the far-end (reflecting the carry-over factor of 1/2). The chord rotation term $-3\psi$ accounts for sidesway. This equation is the foundation of the Slope-Deflection Method for all prismatic members.

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Education QUESTION #10899

Question 17

The process of identifying the strengths and weaknesses of the curriculum is called:

Content presentation
Students' examination
Teaching methodology
Evaluation✔️

Correct Answer Logic:

Curriculum evaluation is the systematic process of assessing a curriculum's worth, effectiveness, strengths, and weaknesses by examining its goals, content, methods, and outcomes. It answers: Is the curriculum achieving its intended learning objectives? Is the content relevant, appropriate, and sequenced effectively? Are teaching methods suitable? Curriculum evaluation informs revisions, improvements, and policy decisions. It is distinct from student evaluation (assessing learners) or teaching evaluation.

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Boilers Mechanical Engineering QUESTION #2421

Question 18

For a composite plane wall with convection on both sides, the total thermal resistance is:

$R_{total} = h_1 A + \sum R_i + h_2 A$
$R_{total} = \frac{1}{h_1 A} + \sum\frac{L_i}{k_i A} + \frac{1}{h_2 A}$✔️
$R_{total} = \frac{1}{h_1 h_2 A^2}$
$R_{total} = \frac{k_1+k_2}{A(h_1+h_2)}$

Correct Answer Logic:

For a composite wall with convection on both sides, all resistances are in series: $R_{total}=\frac{1}{h_1A}+\frac{L_1}{k_1A}+\frac{L_2}{k_2A}+\cdots+\frac{1}{h_2A}$.

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Mathematics QUESTION #6037

Question 19

Find a value of $\theta$ for which $\dfrac{2+3i\sin\theta}{1-2i\sin\theta}$ is purely imaginary.

$\dfrac{\pi}{6}$
$\sin^{-1}\!\left(\dfrac{\sqrt{3}}{4}\right)$
$\sin^{-1}\!\left(\dfrac{1}{\sqrt{3}}\right)$✔️
$\dfrac{\pi}{3}$

Correct Answer Logic:

Multiply numerator and denominator by the conjugate of the denominator $(1+2i\sin\theta)$:

Numerator real part: $(2+3i\sin\theta)(1+2i\sin\theta)$ real part $= 2-6\sin^2\theta$

For purely imaginary, the real part must be zero: $2-6\sin^2\theta=0\Rightarrow\sin^2\theta=\frac{1}{3}\Rightarrow\sin\theta=\frac{1}{\sqrt{3}}$

Therefore $\theta=\sin^{-1}\!\left(\dfrac{1}{\sqrt{3}}\right)$

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Math Physics Chemistry Biology QUESTION #522

Question 20

Humming birds belong to the category

Heterotherms✔️
Endotherms
Ectotherms
None of these

Correct Answer Logic:

Hummingbirds are heterotherms (can vary body temperature)

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