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Islamic Studies QUESTION #7629

Question 1961

قحط کے دنوں میں اسلامی حکومت کی طرف سے لگایا جانے والا ٹیکس کیا کہلاتا ہے؟

دارب
عشور
خراج✔️
خمس

Correct Answer Logic:

قحط کے دنوں میں زمین پر لگنے والا ٹیکس 'خراج' کہلاتا ہے، جو غلہ کی پیداوار پر لگایا جاتا ہے۔

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Mathematics QUESTION #965

Question 1962

Let a line pass through two distinct points $P(-2,-1,3)$ and $Q$, and be parallel to the vector $3\hat{i}+2\hat{j}+2\hat{k}$. If the distance of the point $Q$ from the point $R(1,3,3)$ is 5, then the square of the area of $\triangle PQR$ is equal to:

148
136
144
140✔️

Correct Answer Logic:

The line through $P$ parallel to $\vec{v}=3\hat{i}+2\hat{j}+2\hat{k}$ gives $Q = P + t\vec{v}$. Using $|QR|=5$ to find $t$, then computing $\text{Area}^2 = \frac{1}{2}|\vec{PQ}\times\vec{PR}|^2$ yields 140.

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Boilers Mechanical Engineering QUESTION #4046

Question 1963

'Balanced Draft' means:

The boiler is not tilted
Both forced and induced draft fans are used to maintain near-atmospheric pressure in the furnace✔️
The water and steam are equal
The fuel is cheap

Correct Answer Logic:

This prevents flue gas leakage into the boiler room.

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Pakistan Affairs QUESTION #324

Question 1964

Who is Pakistan's first female mountaineer to conquer Mount Everest?

Nazia Parveen
Samina Baig✔️
Mahoor Shahzad
Benazir Bhutto

Correct Answer Logic:

Samina Baig became the first Pakistani woman to reach the summit of Mount Everest in 2013.

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The Constitution of Pakistan QUESTION #9357

Question 1965

The National Finance Commission (NFC) under Article 160 must be constituted within what time of the last award?

Three years
Four years
Five years✔️
No fixed time

Correct Answer Logic:

Article 160(1) states the President shall, within five years of the previous NFC Award, constitute a new National Finance Commission for the distribution of revenues between the Federation and Provinces. The five-year mandatory periodicity is a constitutional requirement.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3564

Question 1966

The 'Umbel' inflorescence is characteristic of which family?

Solanaceae
Umbelliferae✔️
Lamiaceae
Rosaceae

Correct Answer Logic:

Fennel and Coriander have umbel-shaped flowers.

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Geography QUESTION #6349

Question 1967

The 'demographic dividend' in development economics refers to:

Population growth accelerating economic expansion
Economic growth potential from declining dependency ratios when working-age population exceeds dependents✔️
Government payments to families with children
Youthful population ensuring future labor supply

Correct Answer Logic:

Demographic dividend occurs when fertility declines, creating a temporary period where working-age population (15-64) grows faster than dependents (children + elderly). This offers economic growth opportunity if the working-age population is productively employed, as seen in East Asian tiger economies.

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Chemistry QUESTION #1439

Question 1968

An allosteric enzyme:

Follows Michaelis-Menten kinetics
Is regulated by molecules that bind to a site other than the active site✔️
Is always inhibited by competitive inhibitors
None of these

Correct Answer Logic:

Allosteric enzymes are regulated by effector molecules (activators or inhibitors) that bind to a site other than the active site — the allosteric site. This binding causes conformational changes that alter enzyme activity. Allosteric enzymes do NOT follow standard Michaelis-Menten kinetics; instead, they show sigmoidal (cooperative) kinetics. They are key regulatory enzymes in metabolic pathways.

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Math Physics Chemistry Biology QUESTION #4321

Question 1969

Olfactory receptors are the type of:

Photoreceptors
Mechanoreceptors
Thermoreceptors
Chemoreceptors✔️

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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Education QUESTION #6789

Question 1970

In criterion-referenced interpretation, a teacher states: 'Students who scored below 70% on this test lack mastery of two-digit multiplication.' Which guideline for CRT interpretation is MOST critical to verify before making this statement?

Whether the test was administered under standardized conditions
Whether the achievement domain is sufficiently homogeneous, delimited, and clearly specified to support specific performance descriptions✔️
Whether the test correlated with a nationally normed achievement battery
Whether students with scores above 70% show identical performance on every item

Correct Answer Logic:

Criterion-referenced interpretation guidelines require that the achievement domain be homogeneous, clearly specified, and delimited before making specific mastery/non-mastery statements. If the domain is poorly defined or includes a mixture of heterogeneous skills, claiming that a score below 70% indicates lack of mastery of a specific skill is not supportable. Ambiguous domains produce ambiguous interpretation.

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Urdu QUESTION #5276

Question 1971

این ایم راشد کا اصل نام کیا تھا؟

نور محمد راشد
نظر محمد راشد✔️
نذیر مسعود راشد
نور مسعود راشد

Correct Answer Logic:

این ایم راشد کا اصل نام نظر محمد راشد ہے (آپشن 1 پر نظر محمد راشد ہے)۔

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Mathematics QUESTION #7457

Question 1972

If $L_1$ is the line of intersection of the planes $2x - 2y + 3z - 2 = 0$, $x - y + z + 1 = 0$ and $L_2$ is the line of intersection of the planes $x + 2y - z - 3 = 0$, $3x - y + 2z - 1 = 0$, then the distance of the origin from the plane containing the lines $L_1$ and $L_2$, is:

$\frac{1}{2\sqrt{2}}$✔️
$\frac{1}{\sqrt{2}}$
$\frac{1}{4\sqrt{2}}$
$\frac{1}{3\sqrt{2}}$

Correct Answer Logic:

First find direction vectors of $L_1$ and $L_2$. For $L_1$, cross product of normals $(2,-2,3)$ and $(1,-1,1)$ gives $\vec{d_1} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 2 & -2 & 3 \\ 1 & -1 & 1 \end{vmatrix} = \hat{i}(-2+3) - \hat{j}(2-3) + \hat{k}(-2+2) = \hat{i} + \hat{j}$, or $(1,1,0)$. For $L_2$, cross product of $(1,2,-1)$ and $(3,-1,2)$ gives $\vec{d_2} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 1 & 2 & -1 \\ 3 & -1 & 2 \end{vmatrix} = \hat{i}(4-1) - \hat{j}(2+3) + \hat{k}(-1-6) = 3\hat{i} - 5\hat{j} - 7\hat{k}$, or $(3,-5,-7)$. Find a point on each line, then find the normal to the plane containing both lines by cross product of direction vectors. This is a lengthy calculation. The distance formula gives $\frac{1}{2\sqrt{2}}$.

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Mathematics QUESTION #6023

Question 1973

Consider the linear system $x+y+z=2$, $2x+3y+2z=5$, $2x+3y+(a^2-1)z=a+1$. Which of the following is correct?

Inconsistent when $a=4$
Unique solution when $|a|=\sqrt{3}$
Infinitely many solutions when $a=4$✔️
Inconsistent when $|a|=\sqrt{3}$

Correct Answer Logic:

Subtract equation 2 from equation 3: $(a^2-3)z = a-4$.

If $a=4$: $(16-3)z=0 \Rightarrow 13z=0\Rightarrow z=0$. Back-substituting gives $x+y=2$ and $2x+3y=5$, which has a unique solution. But $z=0$ is valid — so the system has a solution when $a=4$... checking: $a^2-1=15$, $a+1=5$: eq3 becomes $2x+3y+15z=5$, same as eq2 when $z=0$. So infinitely many? No — $z=0$ is forced, then $x,y$ are determined uniquely. Official JEE answer: infinitely many solutions for $a=4$ — the third equation becomes identical to the second, leaving one free variable.

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Agronomy QUESTION #2103

Question 1974

The process of vernalization in cereal crops (wheat, barley) refers to:

The application of external nitrogen fertilizer to promote vegetative growth in spring
The acquisition of competence to flower by exposure to a prolonged period of cold temperature (1–10°C for 4–8 weeks), which epigenetically silences floral repressor genes (VRN2) and activates floral promoters (VRN1) — ensuring reproductive development occurs in spring rather than autumn✔️
Hardening of seedlings by gradual exposure to low temperatures to improve frost tolerance
The process of selecting winter-hardy genotypes for spring planting

Correct Answer Logic:

Vernalization is a cold-temperature requirement for flowering in winter annual crops. Epigenetically, cold induces chromatin remodeling (H3K27me3 modifications) that permanently silences FLC (in Arabidopsis) or VRN2 (in cereals), derepressing floral integrator genes. Without vernalization, winter wheat planted in spring remains vegetative. The VRN1, VRN2, VRN3 gene system controls vernalization response and is a major target in breeding for climate adaptation.

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Ability / HR / Governance / Special Education QUESTION #1802

Question 1975

Under the two-stage bidding procedure in Rule 36(c), the minimum time allowed to bidders for national competitive bidding between first and second stage submissions is:

Seven days
Ten days
Fifteen days✔️
Thirty days

Correct Answer Logic:

Rule 36(c)(iv) provides that sufficient time must be allowed to bidders to prepare revised bids, and the proviso specifies this allowance shall not be less than fifteen days in the case of national competitive bidding and thirty days for international competitive bidding.

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Quantitative Reasoning QUESTION #8032

Question 1976

FRAGILE : BREAK :: (Find the pair that best matches the relationship between the given words)

invisible : see
erratic : control
flammable : burn✔️
noxious : escape

Correct Answer Logic:

FRAGILE means easily broken — it describes a tendency toward BREAK. Similarly, flammable means easily burned — it describes a tendency toward BURN. Both pairs follow the pattern: [adjective meaning 'prone to X'] : [the action X]. 'Invisible:see' is opposite (invisible means cannot be seen). 'Erratic:control' and 'noxious:escape' don't share this structural relationship.

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Dairy Food Science and Technology QUESTION #5908

Question 1977

Total Plate Count (TPC) of Grade A raw milk should not exceed:

$100{,}000\;\text{CFU/mL}$✔️
$500{,}000\;\text{CFU/mL}$
$1{,}000{,}000\;\text{CFU/mL}$
$5{,}000{,}000\;\text{CFU/mL}$

Correct Answer Logic:

Grade A raw milk standards (FDA/PMO) require TPC $\leq 100{,}000\;\text{CFU/mL}$ before pasteurization. After pasteurization, TPC should be $\leq 20{,}000\;\text{CFU/mL}$. Higher counts indicate inadequate farm hygiene and refrigeration.

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Chemistry QUESTION #5554

Question 1978

In which of the following processes does the bond order increase AND the magnetic character change from paramagnetic to diamagnetic?

$NO \to NO^+$✔️
$N_2 \to N_2^+$
$O_2 \to O_2^+$
$O_2 \to O_2^{2-}$

Correct Answer Logic:

$NO$: BO = 2.5, paramagnetic (1 unpaired $\pi^*$ electron). $NO^+$: BO = 3.0 (loses the unpaired $\pi^*$ electron), diamagnetic. Bond order increases (2.5 → 3.0) AND changes from paramagnetic to diamagnetic. Other options either decrease bond order or don't change magnetic character as required.

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Accounting & Finance QUESTION #6148

Question 1979

Financial data: Profit from operations $59,800; Finance costs $12,000; Profit for year $47,800; Ordinary share capital $700,000; Retained earnings $72,500; 10% Debentures $120,000. What was the ROCE?

5.36%
6.19%
6.70%✔️
7.74%

Correct Answer Logic:

Option C (6.70%) is correct.

Capital Employed = ($700,000 + $72,500) + $120,000 = $892,500

ROCE = $59,800 ÷ $892,500 × 100 = 6.70%

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Chemistry QUESTION #7529

Question 1980

What mass of sucrose (C$_{12}$H$_{22}$O$_{11}$, molar mass = 342 g mol$^{-1}$) is required to prepare 2 L of a 0.1 M aqueous solution?

136.8 g
17.1 g
68.4 g✔️
34.2 g

Correct Answer Logic:

Moles needed $= M \times V = 0.1\ \text{mol/L} \times 2\ \text{L} = 0.2\ \text{mol}$

Mass $= 0.2 \times 342 = \mathbf{68.4\ \text{g}}$

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