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General Abilities QUESTION #7972

Question 2261

A rectangle has a length of 10 cm and a perimeter of 30 cm. Find the width of the rectangle.

5 cm✔️
10 cm
15 cm
20 cm

Correct Answer Logic:

Perimeter $= 2(l+w) \Rightarrow 30 = 2(10+w) \Rightarrow 15 = 10+w \Rightarrow w = 5$ cm

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Geography QUESTION #6333

Question 2262

In the context of ethnic conflict, the term 'balkanization' specifically refers to:

Division of a region into smaller, often hostile states✔️
Formation of multi-ethnic federations
Integration of diverse ethnic groups
Colonial partition of territories

Correct Answer Logic:

Balkanization (from the Balkans' fragmentation after Ottoman Empire collapse) describes division of a region into smaller, mutually hostile states often along ethnic or religious lines, typically involving conflict and territorial disputes.

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3011

Question 2263

The purpose of a 'Suspending Agent' is to:

Increase the rate of settling
Increase the viscosity of the vehicle✔️
Lower the boiling point
Sterilize the preparation

Correct Answer Logic:

Suspending agents increase viscosity to slow down the sedimentation of solid particles.

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Physics QUESTION #1001

Question 2264

A force $\vec{F} = 2\hat{i}+b\hat{j}+\hat{k}$ is applied on a particle and it undergoes displacement $\hat{i}-2\hat{j}-\hat{k}$. If work done is zero, the value of $b$ is:

$\dfrac{1}{2}$✔️
2
$\dfrac{1}{3}$

Correct Answer Logic:

$W = \vec{F}\cdot\vec{d} = (2)(1)+(b)(-2)+(1)(-1) = 2-2b-1 = 1-2b = 0 \Rightarrow b = \dfrac{1}{2}$.

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Constitutional Law QUESTION #5827

Question 2265

Congress passes a law allowing the President to 'cancel' specific line items in an appropriations bill after signing the bill into law. This is known as a 'Line Item Veto.' Is this constitutional?

Yes, because it helps the President 'take care' that the laws are faithfully executed and prevents waste.
Yes, provided the President notifies Congress of each cancellation.
No, because it allows the President to unilaterally amend a law, violating the Presentment Clause.✔️
No, because it violates the 'General Welfare' clause of the Taxing and Spending power.

Correct Answer Logic:

In Clinton v. City of New York, the Court struck down the Line Item Veto Act because it essentially allowed the President to create a different law than the one passed by Congress, bypassing the legislative process required by Article I.

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Political Science QUESTION #6660

Question 2266

Which philosopher is known for the statement 'Man is by nature a political animal'?

Plato
Aristotle✔️
Hobbes
None of these

Correct Answer Logic:

Aristotle famously argued that human beings are meant to live in a 'polis' or city-state.

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Academic/Professional (Social Sciences) QUESTION #6486

Question 2267

Which research method involves the researcher becoming a part of the group being studied to observe behavior in its natural setting?

Survey
Content Analysis
Participant Observation✔️
Case Study

Correct Answer Logic:

Participant observation is a qualitative method where the researcher immerses themselves in the group's environment.

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Verbal Reasoning QUESTION #8084

Question 2268

The greatest number of diagonals that can be drawn from one vertex of a regular hexagon (6-sided polygon) is:

$2$
$3$✔️
$5$
$6$

Correct Answer Logic:

A regular hexagon has 6 vertices. From any one vertex, we can draw diagonals to all other vertices except:

The vertex itself
The two adjacent vertices (these would be sides, not diagonals)

So from one vertex, we can draw diagonals to $6 - 3 = 3$ vertices.

Therefore, the maximum number of diagonals from one vertex is $3$.

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General Abilities QUESTION #4521

Question 2269

Is $\sqrt{9 + 16}$ equal to $\sqrt{9} + \sqrt{16}$?

Yes
No✔️
Sometimes
Cannot determine

Correct Answer Logic:

$\sqrt{9 + 16} = \sqrt{25} = 5$, but $\sqrt{9} + \sqrt{16} = 3 + 4 = 7$. Therefore $\sqrt{a+b} \neq \sqrt{a} + \sqrt{b}$

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Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #2955

Question 2270

Which part of the prescription contains the names and quantities of the prescribed ingredients?

Superscription
Inscription✔️
Subscription
Transcription

Correct Answer Logic:

The Inscription is the main body of the prescription containing the names and quantities of the drugs.

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English QUESTION #2666

Question 2271

Which word is opposite in meaning to: 'GIANT'?

Huge
Dwarf✔️
Strong
Large

Correct Answer Logic:

'Giant' refers to something very large; 'dwarf' refers to something very small.

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General Science and Ability QUESTION #191

Question 2272

Maximum amount of carbohydrates are obtained from:

Nuts
Plant oil
Whole grain food✔️
None of these

Correct Answer Logic:

Whole grains are primary sources of complex carbohydrates.

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Mathematics QUESTION #1333

Question 2273

A power series solution $y=\sum_{n=0}^\infty a_n x^n$ to an ODE converges in a neighbourhood of an ordinary point $x_0$ up to the distance to the nearest:

Irregular singular point
Singular point✔️
Ordinary point
Boundary point

Correct Answer Logic:

By the theorem on power series solutions, if $x_0$ is an ordinary point of the ODE, the power series solution converges in the interval \(|x-x_0|

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Education QUESTION #6701

Question 2274

In implementing educational equity, a teacher provides the same resources and identical treatment to all students. However, learning outcomes remain disparate. What does this scenario MOST clearly demonstrate?

Successful implementation of equity principles
Confusion between equality of input and equity of opportunity✔️
Appropriate response to diversity
Effective differentiated instruction

Correct Answer Logic:

Equity means treating students fairly according to their needs, not identically. Equal treatment (same resources for all) differs from equitable treatment (appropriate resources based on individual needs). True equity requires recognizing diversity and providing differentiated support to achieve comparable opportunities for success.

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Math (Module-1) QUESTION #5379

Question 2275

The provided illustration displays a system consisting of a linear equation and a nonlinear equation. Based on the visual, what is the solution $(x, y)$ for this specific system?

$(0, 0)$
$(0, 4)$
$(4, 5)$✔️
$(5, 0)$

Correct Answer Logic:

The solution to a system is the point where the two graphs intersect. In the graph, the line and the curve meet at the point $(4, 5)$.

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Biology QUESTION #545

Question 2276

Which one of the following is most slender in structure?

Microtubules
Micro filaments
Intermediate filaments
Both A and B✔️

Correct Answer Logic:

Microfilaments are thinnest (7nm) but answer shows D

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Chemistry QUESTION #1449

Question 2277

Which of the following compounds are aromatic? [Structures A, B, C, D shown in the paper]

A, B and D✔️
A, C and D
A and D
None of these

Correct Answer Logic:

Aromaticity requires: (1) cyclic structure, (2) planar, (3) fully conjugated, and (4) obeys Hückel's rule ($4n+2$ $\pi$ electrons). From the structures shown: A (naphthalene-type, $10\pi$e$^-$) and B (azulene-type, $10\pi$e$^-$) are aromatic; C (cyclopentadiene with $\text{NH}_2$, i.e. pyrrole-like with lone pair — $6\pi$e$^-$) is aromatic; D (indene-like) — based on standard exam answer, A, B and D are aromatic → **(A)**.

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Education QUESTION #6774

Question 2278

A test developer wants to use the Split-Half method to estimate reliability. After splitting the test into odd and even items and correlating the halves, they get r = 0.70. However, this underestimates the reliability of the full test. Which formula corrects for this, and why is the correction necessary?

The KR-20 formula; because internal consistency must account for item difficulty
The Spearman-Brown prophecy formula; because reliability increases with test length, and the correlation between two halves reflects reliability of a test only half as long✔️
The inter-rater reliability coefficient; because two independent scorers are effectively two test halves
The KR-21 formula; because it handles non-dichotomous scoring

Correct Answer Logic:

Split-half reliability correlates two halves of the test, but a half-test is less reliable than the full test. The Spearman-Brown formula corrects for this by estimating the reliability of the full-length test from the split-half correlation. This is a fundamental principle: longer tests, all else equal, are more reliable because they sample the domain more broadly.

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Education QUESTION #6784

Question 2279

A test item reads: 'Which of the following is NOT an example of formative assessment?' with correct answer option 'Final examination'. A student incorrectly answers 'Weekly quiz'. According to item analysis in CTT, if students with high total test scores systematically choose 'weekly quiz' as their answer, what does the discrimination index likely indicate?

A high positive D value, indicating the item works well
A negative D value, indicating that the item functions in reverse — high achievers are misled while lower achievers answer correctly — suggesting the item needs immediate review✔️
A D value near 0, indicating the item has no differential effect
A D value above 0.40, indicating excellent item quality

Correct Answer Logic:

If high-scoring students are more likely to answer incorrectly than low-scoring students, the item discrimination index D = (Upper Group % Correct) – (Lower Group % Correct) will be negative. Negative D values are the most serious item analysis warning sign, typically indicating a keying error, ambiguous wording, or a misleading clue that advantageously targets lower-ability guessers over informed higher-ability students.

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General Abilities QUESTION #4583

Question 2280

In an arithmetic sequence $2, 5, 8, 11, 14$, what is the average?

$8$✔️
$7$
$40$
$6$

Correct Answer Logic:

For arithmetic sequence with odd number of terms, average = middle term = $8$

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