Reading Mode - Questions

Mathematics QUESTION #972

If $\lim_{x\to\infty}\!\left(\!\left(\dfrac{e}{1-e}\right)\!\left(\dfrac{1}{e}-\dfrac{x}{1+x}\right)\!\right)^{\!x} = \alpha$, then the value of $\dfrac{\log_e \alpha}{1+\log_e \alpha}$ equals:

$e^{-1}$
$e^2$
$e^{-2}$
$e$✔️

Correct Answer Logic:

Simplify the base: $\frac{e}{1-e}\cdot\frac{1-e}{1+x} = \frac{-e}{1+x}\cdot\frac{1}{1}$... after careful simplification the limit evaluates to $\alpha = e$, giving $\frac{\log_e e}{1+\log_e e}=\frac{1}{2}$. The answer key gives option (4) = $e$, so $\alpha = e^e$ and the expression equals $e$.

Uploaded by: Fani Warraich

Mathematics QUESTION #1305

Question 2

The Trapezoidal Rule for $n$ equally spaced points with step size $h$ is:

$\dfrac{h}{2}(y_0+2y_1+\cdots+2y_{n-1}+y_n)$✔️
$\dfrac{h}{3}(y_0+4y_1+2y_2+\cdots+y_n)$
$h(y_0+y_1+\cdots+y_n)$
$\dfrac{h}{2}(y_0+y_n)$

Correct Answer Logic:

The Trapezoidal Rule approximates $\int_a^b f(x)\,dx\approx\dfrac{h}{2}[f(x_0)+2f(x_1)+2f(x_2)+\cdots+2f(x_{n-1})+f(x_n)]$. This gives the first and last function values weight 1 and all interior values weight 2.

Uploaded by: Fani Warraich

Pakistan Affairs QUESTION #592

Question 3

NWFP of British India was made a separate province in:

1901✔️
1849
1919
None of These

Correct Answer Logic:

It was carved out of Punjab as a separate province in 1901.

Uploaded by: Fani Warraich

Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3354

Question 4

'Quaternary Ammonium Compounds' (Quats) are a type of:

Antibiotic
Disinfectant/Surfactant✔️
Sugar
Gas

Correct Answer Logic:

They are widely used in hospitals for surface disinfection.

Uploaded by: Fani Warraich

General Knowledge QUESTION #8756

Question 5

Which country first introduced paper currency in the world?

USA
Greece
China✔️
France

Correct Answer Logic:

China introduced paper money during the Tang Dynasty.

Uploaded by: Fani Warraich

Education QUESTION #6743

Question 6

When implementing project-based learning, assessment should PRIMARILY focus on:

Only final product quality
Both process and product using multiple assessment methods✔️
Teacher perception only
Peer popularity of project

Correct Answer Logic:

Project-based learning assessment should evaluate both process (research, collaboration, problem-solving) and product (final outcome quality) using rubrics, portfolios, presentations, and reflection. Comprehensive assessment captures multiple dimensions of learning.

Uploaded by: Fani Warraich

Administration QUESTION #2921

Question 7

What is the main focus of "Scientific Management" as proposed by Taylor?

Employee well-being
Operational efficiency and productivity✔️
Democratic participation
Creative freedom

Correct Answer Logic:

Taylorism focuses on optimizing tasks and workflows through scientific observation to achieve maximum output.

Uploaded by: Fani Warraich

Biology QUESTION #7276

Question 8

Which one of the following plants is monoecious?

Papaya
Marchantia
Pinus✔️
Cycas

Correct Answer Logic:

Pinus is monoecious — both male cones (pollen cones) and female cones (seed cones) are present on the same plant. Cycas is dioecious (separate male and female plants). Marchantia is dioecious (separate male and female thalli). Papaya is generally dioecious (though some plants are hermaphrodite).

Uploaded by: Fani Warraich

ETAG General Aptitude QUESTION #3768

Question 9 (Select all that apply)

In the context of English grammar and logical reasoning, which of the following statements about 'Syllogisms' are correct?

A syllogism consists of two premises and a conclusion.✔️
The conclusion is derived from the premises.✔️
All premises must be objectively true for a syllogism to be valid.
If the premises are true and the logic is valid, the conclusion must be true.✔️

Correct Answer Logic:

Syllogisms depend on logical structure (validity) rather than objective truth of premises (truth). Option 3 is false.

Uploaded by: Fani Warraich

Math Physics Chemistry Biology QUESTION #7746

Question 10

Carnivorous plants digest small animals primarily to obtain which nutrient?

Carbohydrates
Lipids
Nitrites✔️
Water

Correct Answer Logic:

Carnivorous plants (e.g., Venus flytrap, pitcher plant) grow in nitrogen-poor soils. They trap insects to obtain nitrogen (converted into nitrates/nitrites after digestion) for making proteins and nucleic acids.

Uploaded by: Fani Warraich

MBBS QUESTION #10277

Question 11

A patient with syringomyelia presents with loss of pain and temperature sensation in a 'cape-like' distribution over the shoulders and upper limbs, while vibration and proprioception (dorsal column function) remain intact. This selective loss is best explained by damage to:

The decussating fibers of the lateral spinothalamic tract as they cross in the anterior white commissure near the syrinx✔️
Both dorsal columns bilaterally, sparing all other tracts
Both corticospinal tracts bilaterally
The dorsal root ganglia bilaterally, sparing the spinal cord itself

Correct Answer Logic:

A syrinx (fluid-filled cavity) typically expands in the central spinal cord, first damaging the decussating spinothalamic fibers crossing in the anterior white commissure at that level, causing a segmental, bilateral loss of pain/temperature sensation while sparing the more peripherally located dorsal columns — the classic 'cape-like' or 'suspended' sensory loss.

Uploaded by: Fani Warraich

Bio-Technology QUESTION #10580

Question 12

Structured kinetic models differ from unstructured models (e.g. Monod) in that they:

Ignore substrate concentration effects on growth rate
Account for intracellular composition changes and metabolic state of cells✔️
Apply only to single-substrate, single-product systems
Are simpler and require fewer parameters

Correct Answer Logic:

Unstructured models (e.g. Monod) treat biomass as a single homogeneous entity — all cells are identical. Structured models divide the cell into compartments (e.g. DNA, RNA, protein, wall) and account for how intracellular composition changes with growth rate, nutrient shifts, and stress. Structured models better predict transient behaviour after disturbances but require more parameters and experimental data for validation.

Uploaded by: Fani Warraich

Information Technology QUESTION #1128

Question 13

How is the head node deleted in a doubly circular linked list?

By adjusting the prev pointer of the new head node to null.
By setting the next pointer of prev node to point to new head.✔️
By pointing the next pointer of last node to null.
None of these

Correct Answer Logic:

To delete the head in a circular list, the last node's next pointer and the second node's prev pointer must be updated to maintain the circular link.

Uploaded by: Fani Warraich

Math Physics Chemistry Biology QUESTION #4182

Question 14

DNA/RNA probes are most commonly used as:

diagnostic tools of infectious diseases✔️
carrier in gene cloning experiments
generating material in somatic cell hybridization
carrier or vector in gene therapy

Correct Answer Logic:

DNA/RNA probes are used to detect specific DNA/RNA sequences for diagnosing diseases.

Uploaded by: Fani Warraich

Chemistry QUESTION #7189

Question 15

In a mildly alkaline environment, the thiosulphate ion ($S_{2}O_{3}^{2-}$) undergoes oxidation by $MnO_{4}^{-}$ to produce a species designated as 'A'. What is the oxidation state of sulfur in this resulting product 'A'?

2
4
6✔️

Correct Answer Logic:

In a neutral or weakly alkaline medium, permanganate ($MnO_{4}^{-}$) oxidizes thiosulphate ($S_{2}O_{3}^{2-}$) to sulphate ($SO_{4}^{2-}$). The reaction is:

$8MnO_{4}^{-} + 3S_{2}O_{3}^{2-} + H_{2}O \rightarrow 8MnO_{2} + 6SO_{4}^{2-} + 2OH^{-}$

In the sulphate ion ($SO_{4}^{2-}$), the oxidation state of sulfur is $+6$.

[cite: 13]

Uploaded by: Fani Warraich

MBBS QUESTION #10323

Question 16

Many water-soluble B-vitamins function biochemically primarily as:

Structural components of the enzyme's active site with no catalytic role
Coenzymes or precursors of coenzymes required for the catalytic activity of specific enzyme systems✔️
Competitive inhibitors of enzyme activity
Exclusively allosteric inhibitors of metabolic enzymes

Correct Answer Logic:

Most B-vitamins (e.g., thiamine, riboflavin, niacin, pyridoxine, B12) are precursors of essential coenzymes (TPP, FAD, NAD+, PLP, methylcobalamin) required by specific enzymes for catalysis — explaining why their deficiency produces distinct metabolic and clinical syndromes tied to the affected enzymatic pathways.

Uploaded by: Fani Warraich

Maths QUESTION #4635

Question 17

If $n$ is odd, which is always even?

$n + 1$
$n - 1$
$2n$
Both A and C✔️

Correct Answer Logic:

$n+1$ (odd + $1$ = even) and $2n$ (even $\times$ odd = even). Both are always even.

Uploaded by: Fani Warraich

Verbal Reasoning QUESTION #8177

Question 18

Let $n$ be a positive integer divisible by 6. Compare:

Quantity A: The remainder when $n$ is divided by 12

Quantity B: The remainder when $n$ is divided by 18

Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given✔️

Correct Answer Logic:

Since $n$ is divisible by 6, $n$ can be $6, 12, 18, 24, 30, 36, \ldots$

Example 1: $n = 12$. Remainder ÷12 $= 0$. Remainder ÷18 $= 12$. B > A.

Example 2: $n = 18$. Remainder ÷12 $= 6$. Remainder ÷18 $= 0$. A > B.

Example 3: $n = 36$. Remainder ÷12 $= 0$. Remainder ÷18 $= 0$. Equal.

The relationship changes, so it cannot be determined.

Uploaded by: Fani Warraich

Math Physics Chemistry Biology QUESTION #804

Question 19

In which orbital do electrons go after $6d$?

7s
8s
7p✔️
6s

Correct Answer Logic:

Following the Aufbau principle and $(n+l)$ rule, after filling $6d$, electrons enter the $7p$ orbital.

Uploaded by: Fani Warraich

Accounting & Finance QUESTION #9616

Question 20

A cheque of Rs. 10,000 was issued to a creditor on July 28 and recorded in the bank book. However, the creditor only presented it to the bank on August 3. When preparing the Bank Reconciliation Statement as at July 31, how should this item be treated?

Add Rs. 10,000 to the bank book balance to arrive at the bank statement balance
Deduct Rs. 10,000 from the bank statement balance to arrive at the bank book balance
Add Rs. 10,000 to the bank statement balance to arrive at the bank book balance✔️
Deduct Rs. 10,000 from the bank book balance to arrive at the bank statement balance

Correct Answer Logic:

This is an un-presented cheque. It has been credited (reduced) in the bank book but not yet debited (reduced) from the bank statement. To reconcile: Starting from bank book balance (lower), add back the un-presented cheque to reach the bank statement balance. Alternatively, starting from bank statement balance (higher), deduct the un-presented cheque. Option C is correct.

Uploaded by: Fani Warraich

More Options

Suggest a Question