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Chemistry QUESTION #7146

A commercial ion-exchange resin used for water softening has the molecular formula $C_{8}H_{7}SO_{3}Na$ (Molar Mass $= 206$). Determine the maximum uptake of $Ca^{2+}$ ions by this resin in moles per gram of resin.

$\frac{1}{103}$
$\frac{1}{206}$
$\frac{2}{309}$
$\frac{1}{412}$✔️

Correct Answer Logic:

The ion exchange reaction is: $2RNa + Ca^{2+} \rightarrow R_{2}Ca + 2Na^{+}$.

$2$ moles of resin ($2 \times 206\text{ g}$) react with $1$ mole of $Ca^{2+}$.
Total mass of resin = $412\text{ g}$.
Uptake per gram = $\frac{1\text{ mole } Ca^{2+}}{412\text{ g resin}}$.

Thus, the maximum uptake is $\frac{1}{412}\text{ mol/g}$.

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Reading and Writing (Module-1) QUESTION #5453

Question 2

Notes: Todd Henry (1999) studied Sun and nearby stars within 10 parsecs. Sun = ~9,800?F (G star). 327 of 357 stars were K or M (cooler, <8,900?F). 11 were A or F (hotter, >10,300?F). Which choice emphasizes how hot the Sun is relative to nearby stars?

At ~9,800?F (G star), the Sun is hotter than most but not all stars within 10 parsecs.✔️
Todd Henry determined the Sun is a G star, and several other stars are A or F.
Of 357 stars within 10 parsecs of Sun, 327 are K or M (<8,900?F).
While most stars within 10 parsecs are K, M, A, or F, Sun is G star due to 9,800?F.

Correct Answer Logic:

Option A directly states "hotter than most but not all," which captures relative heat accurately.

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General Abilities QUESTION #4541

Question 3

What is $\frac{2}{5} + \frac{1}{3}$?

$\frac{3}{8}$
$\frac{11}{15}$✔️
$\frac{3}{15}$
$\frac{7}{15}$

Correct Answer Logic:

Find LCD = $15$. Then $\frac{2}{5} + \frac{1}{3} = \frac{6}{15} + \frac{5}{15} = \frac{11}{15}$

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Statistics QUESTION #1960

Question 4

If $P(A)$ is the probability of event A, which expression correctly gives the probability of its complement $A^c$?

$1 + P(A)$
$1 - P(A)$✔️
$P(A)$
$P(A) - 1$

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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Accounting & Finance QUESTION #6051

Question 5

A business records a credit sale of Rs. 350 (no cash involved) using accrual accounting. How will this transaction be reflected in the financial statements?

Rs. 350 would appear on the balance sheet as a sale
Rs. 350 would appear on the income statement as a sale✔️
Rs. 350 would appear on the statement of cash flows as a cash outflow
The transaction would not be reported since no cash was exchanged

Correct Answer Logic:

Under accrual accounting, revenue is recognized when it is earned, not when cash is received. A credit sale of Rs. 350 means the business has earned the revenue, so it is recorded in the income statement as sales revenue. The receivable (Rs. 350) is recorded on the balance sheet as an asset, but the sale itself appears on the income statement. Cash-basis accounting would delay recognition until cash is received, but accrual accounting does not.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3034

Question 6

'Hygroscopic' powders are those that:

Release water
Absorb moisture from the air but do not liquefy✔️
Absorb moisture and turn into liquid
Explode when wet

Correct Answer Logic:

Hygroscopic powders absorb moisture; if they liquefy, they are called 'Deliquescent'.

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Civil Engineering QUESTION #6640

Question 7

The ACI code specifies a 'Maximum spacing' for stirrups primarily to:

Reduce the cost of steel
Ensure that every 45-degree potential crack is intercepted by at least one stirrup✔️
Prevent the longitudinal bars from buckling
Increase the compressive strength of the web

Correct Answer Logic:

By limiting spacing (e.g., d/2), the designer ensures that any diagonal crack forming at roughly 45 degrees will be crossed by shear reinforcement.

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General Knowledge QUESTION #8653

Question 8

In stock market terminology, what do 'bears' and 'bulls' refer to?

Jungle code
Stock market trends (fall and rise)✔️
Price rise and fall only
None of above

Correct Answer Logic:

Bears indicate falling prices; bulls indicate rising prices.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3609

Question 9

'Acacia' (Gum Arabic) is chemically a:

Salt of Arabic acid✔️
Simple sugar
Protein
Volatile oil

Correct Answer Logic:

Acacia is a complex polysaccharide used as a suspending and emulsifying agent.

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Ability / HR / Governance / Special Education QUESTION #5653

Question 10

A Ministry intends to include a new unapproved development scheme in the PSDP allocation. Under what condition is this permitted and what safeguard is required?

It is never permitted as only approved schemes may be included in PSDP
It may be included in exceptional circumstances only after anticipatory approval by the competent authority has been obtained✔️
It may be included if the Financial Adviser certifies it fits into the overall development plan
It may be included as long as the CDWP is informed within 30 days

Correct Answer Logic:

Allocation in the PSDP for new unapproved development schemes/projects shall be made in exceptional circumstances only after anticipatory approval of such new schemes/projects by the competent authority.

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Reading and Writing (Module-1) QUESTION #5364

Question 11

When table forks were first brought to Europe in the 11th century, they were widely rejected. St. Peter Damian even spoke out against them, as he viewed ______ as an unnecessary and dangerous luxury. Which choice completes the text so that it conforms to the conventions of Standard English?

them✔️
this
that
it

Correct Answer Logic:

'Them' correctly refers back to the plural noun 'table forks.'

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Boilers Mechanical Engineering QUESTION #3985

Question 12

'Blow-down' operation is performed in a boiler primarily to:

Increase steam pressure
Remove accumulated sludge and dissolved solids from the bottom✔️
Clean the chimney
Cool down the furnace quickly

Correct Answer Logic:

Continuous or intermittent blow-down prevents scale formation by reducing the concentration of impurities.

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Civil / Architecture QUESTION #2363

Question 13

In the analysis of indeterminate structures using the Flexibility (Force) Method, the compatibility equation for a structure with $n$ redundants is expressed in matrix form as:

$[F]\{X\} = \{D_0\}$
$[K]\{D\} = \{P\}$
$[F]\{X\} + \{D_0\} = \{0\}$✔️
$[K]\{X\} = -\{D_0\}$

Correct Answer Logic:

The compatibility equation in the Force Method is $[F]\{X\} + \{D_0\} = \{0\}$ (or equivalently $[F]\{X\} = -\{D_0\}$), where $[F]$ is the flexibility matrix (flexibility coefficients $f_{ij}$ = displacement at $i$ due to unit force at $j$), $\{X\}$ is the vector of redundants, and $\{D_0\}$ is the displacement vector of the released structure (primary structure) under applied loads. Option B is the stiffness method equation.

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Ability / HR / Governance / Special Education QUESTION #1800

Question 14

According to Rule 39, where a performance guarantee is required by a procuring agency, it shall not exceed what percentage of the contract amount?

Five percent
Seven percent
Ten percent✔️
Fifteen percent

Correct Answer Logic:

Rule 39 provides that where a performance guarantee is needed and has been clearly expressed in the bidding documents, the procuring agency shall require the successful bidder to furnish a performance guarantee which shall not exceed ten percent of the contract amount.

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Islamic Studies QUESTION #7919

Question 15

Who are the angels appointed to question the deads in their graves?

Munkir and Nakeer (AS)✔️
Hazrat Jahraiel (AS)
Hazrat Iiraeel (AS)
Hazrat Kikaet (M)

Correct Answer Logic:

Munkar and Nakir are the two angels who question the deceased in their graves. They ask three questions: (1) Who is your Lord? (2) What is your religion? (3) Who is your Prophet? This questioning is part of the trial in the grave (Barzakh), and believers answer correctly while disbelievers fail.

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Education QUESTION #1493

Question 16

According to the Constitution of Pakistan 1973, Article 37(b), the State shall:

Establish universities in every district
Remove illiteracy and provide free and compulsory secondary education within the minimum possible period✔️
Make English the medium of instruction
Ban private schools

Correct Answer Logic:

Article 37(b) of the Constitution of Pakistan 1973 states that the State shall remove illiteracy and provide free and compulsory secondary education within the minimum possible period.

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Mathematics QUESTION #981

Question 17

Let $E:\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1,\ a>b$ and $H:\dfrac{x^2}{A^2}-\dfrac{y^2}{B^2}=1$. Let the distance between the foci of $E$ and the foci of $H$ be $2\sqrt{3}$. If $a-A=2$ and the ratio of eccentricities of $E$ and $H$ is $\dfrac{1}{3}$, then the sum of the lengths of their latus rectums is equal to:

10
9
8✔️
7

Correct Answer Logic:

Let $e_E=e$ and $e_H=3e$. Focal distances: $2ae=2\sqrt{3}\Rightarrow ae=\sqrt{3}$ and $2Ae_H=2\sqrt{3}\Rightarrow 3Ae=\sqrt{3}\Rightarrow Ae=\frac{1}{\sqrt{3}}$. Then $\frac{a}{A}=3$ and $a-A=2\Rightarrow A=1, a=3$. So $e=\frac{\sqrt{3}}{3}=\frac{1}{\sqrt{3}}$, $b^2=a^2(1-e^2)=9\cdot\frac{2}{3}=6$. For $H$: $e_H=\sqrt{3}$, $B^2=A^2(e_H^2-1)=2$. Sum of latus rectums $=\frac{2b^2}{a}+\frac{2B^2}{A}=\frac{12}{3}+\frac{4}{1}=4+4=8$.

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Math Physics Chemistry Biology QUESTION #4282

Question 18

A mature duplicated chromosome consists of:

Two identical double helical DNA molecules✔️
Two different double helical DNA molecules
A double helical DNA molecule distributed in both chromatids
Histone chains wrapped around DNA core

Correct Answer Logic:

After DNA replication, a duplicated chromosome consists of two identical sister chromatids, each containing a complete double-stranded DNA molecule, joined at the centromere.

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Library Sciences QUESTION #1540

Question 19

Massis (2003) emphasizes that the practical library manager must treat public relations primarily as:

A one-time activity during library anniversary events
An ongoing, strategic effort to communicate the library's value to its community and stakeholders✔️
A function exclusively handled by the parent institution's PR department
A tool only needed when the library faces budget cuts

Correct Answer Logic:

Massis (2003) in 'The Practical Library Manager' stresses that public relations must be a continuous, proactive strategy — not a reactive or occasional activity — to consistently demonstrate the library's value, build community support, and justify resource allocation.

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Mathematics QUESTION #6015

Question 20

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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