Sample Questions

Question 1:

Consider the vocabulary word 'EPHEMERAL' as used in literary, scientific, and modern digital contexts. Which of the following statements regarding its meaning, synonyms, antonyms, or contextual usages are CORRECT?

1. Synonyms of 'ephemeral' include 'transient', 'fleeting', and 'evanescent'.
2. Antonyms of 'ephemeral' include 'enduring', 'perpetual', and 'everlasting'.
3. The sentence 'The ephemerality of the ancient granite mountain range was proven by its multi-billion-year survival' uses the word correctly.
4. In digital communications, temporary messages designed to self-delete shortly after viewing are accurately described as 'ephemeral messaging'.

Question 2:

Which of the following sentences adhere strictly to the rules of Standard English grammar, subject-verb agreement, and parallel sentence structure?

1. Neither the project manager nor the senior software engineers were aware of the system breakdown.
2. The committee have decided to publish its annual report next week.
3. To succeed in competitive examinations requires not only dedicated hard work but also strategic time management.
4. Each of the research participants were interviewed individually by the lead investigator.

Question 3:

Read the following statement:
"A municipal survey revealed that 70% of households in the metro region sorted their domestic waste, resulting in a 25% reduction in landfill volume over two years. Based on these findings, urban planners concluded that civic awareness campaigns are effective in driving environmental sustainability."
Which of the following statements correctly classify the components of this passage according to Facts, Inferences, and Judgments?

1. The statement that '70% of households sorted domestic waste' represents a FACT verified through survey data.
2. The claim that 'waste sorting contributed to a 25% landfill volume reduction' represents a logical INFERENCE derived from observational data.
3. The assertion that 'all municipal authorities must make waste sorting mandatory' represents a verifiable FACT.
4. The statement that 'civic awareness campaigns are effective in driving environmental sustainability' functions as a JUDGMENT or evaluative conclusion.

Question 4:

Read the short passage below:
"Artificial intelligence models rely on vast datasets to identify non-linear patterns and generate automated recommendations. However, when historical training data contains systemic human biases, machine learning algorithms risk codifying and scaling those inequities under a facade of mathematical objectivity. Ensuring ethical AI deployment requires algorithmic auditing, diverse dataset curation, and continuous human oversight."
Which of the following statements accurately capture core arguments, valid inferences, or summaries supported by the passage?

1. Machine learning algorithms are inherently objective and immune to bias because they operate on mathematical logic.
2. Unexamined training data containing historical human biases can cause AI systems to replicate and scale structural inequalities.
3. Human oversight and dataset curation are necessary safeguards for maintaining ethical standards in AI systems.
4. The passage advocates for an immediate and complete global ban on artificial intelligence technologies.

Question 5:

Which of the following statements regarding verbal analogies, reverse analogies, and paragraph structural logic are CORRECT?

1. In the verbal analogy 'METAPHOR : FIGURATIVE :: FACT : LITERAL', the relationship represents Concept to Characteristic Attribute.
2. In a jumbled paragraph, a sentence beginning with demonstrative pronouns like 'These measures...' or 'This phenomenon...' typically functions as the standalone opening topic sentence.
3. In a reverse analogy testing antonym, 'LACONIC' is to 'LOQUACIOUS' as 'SPARTAN' is to 'LUXURIOUS'.
4. Transition words such as 'Furthermore', 'Moreover', and 'In addition' signal contrasting or opposing ideas between sentences.

Question 1:

An article with a marked price of ₹2,000 is sold after applying two successive discounts of 20% and 10%. Despite offering these discounts, the merchant realizes a profit of 20% on the cost price of the article. Which of the following statements regarding this transaction are CORRECT?

1. The single discount rate equivalent to the two successive discounts is 28%.
2. The selling price of the article after both discounts is ₹1,500.
3. The cost price of the article to the merchant is ₹1,200.
4. The total profit amount earned by the merchant on this transaction is ₹240.

Question 2:

Evaluate the following mathematical statements involving quadratic equations, logarithmic identities, linear inequalities, and complex numbers. Which of the statements are CORRECT?

1. For the quadratic equation x² - 7x + 12 = 0, the real roots are x = 3 and x = 4, and their product equals 12.
2. The logarithmic expression log₁₀(1000) + log₁₀(100) simplifies to 6.
3. The solution set for the linear absolute value inequality |x - 3| < 5 in real numbers is -2 < x < 8.
4. The complex number z = 3 + 4i has a modulus |z| equal to 25.

Question 3:

A 4-person project committee is to be selected at random from a group of 5 men and 4 women (total 9 candidates). Which of the following statements regarding combinatorial arrangements and probability outcomes are CORRECT?

1. The total number of distinct ways to select a 4-person committee from the 9 candidates is 126.
2. The number of ways to form a committee containing exactly 2 men and 2 women is 60.
3. The probability that a randomly selected 4-person committee contains exactly 2 men and 2 women is 10/21.
4. The total number of ways to select a committee consisting entirely of women is 10.

Question 4:

A sum of ₹10,000 deposited at a Simple Interest rate of 8% per annum for a period of 3 years yields a total interest of --------------------

Question 5:

In an Arithmetic Progression (AP) with a first term a = 4 and a common difference d = 3, the 10th term (T₁₀) is ------------------

Question 1:

A technology firm has a total workforce of 1,200 employees distributed across four departments: Software (40%), Marketing (25%), Finance (20%), and HR (15%). The male-to-female ratio within each department is 3:2 for Software, 1:1 for Marketing, 3:1 for Finance, and 1:2 for HR. Which of the following statements accurately describe the demographic distribution of the company?

1. The total number of female employees across all four departments combined is 522.
2. The total number of male employees in the Software and Finance departments combined is 468.
3. Female employees in the HR department account for 25% of the total female workforce in the company.
4. The overall ratio of total male employees to total female employees in the company is 113 : 87.

Question 2:

Consider standard 12-hour analog clock movement and standard Gregorian calendar rules. Which of the following logical and mathematical statements regarding time and calendar calculations are CORRECT?

1. The hour hand and minute hand of a standard clock coincide (form a 0° angle) exactly 24 times in a 24-hour day.
2. In a leap year, if January 1st falls on a Friday, then December 31st of that same year will fall on a Saturday.
3. The acute angle between the hour hand and the minute hand at 3:40 is exactly 120°.
4. Between 2:00 PM and 3:00 PM, the hands of a clock form a right angle (90°) for the first time at 2:27 3/11 PM.

Question 3:

Analyse the following premises:
1. All algorithms are programs.
2. No program is a hardware component.
3. Some hardware components are sensors.
Based strictly on logical necessity, which of the following conclusions are VALID?

1. No algorithm is a hardware component.
2. Some sensors are programs.
3. Some sensors are not programs.
4. All hardware components are algorithms.

Question 4:

Three individuals—A, B, and C—belong to a island where each person is either a Knight (who always speaks the truth) or a Knave (who always lies). They make the following statements:
• A says: 'All three of us are Knaves.'
• B says: 'Exactly one of us is a Knight.'
Which of the following statements correctly evaluate the identities of A, B, and C?

1. A is a Knave.
2. B is a Knight.
3. C is a Knight.
4. Exactly two of the three individuals are Knaves.

Question 5:

A survey of 500 undergraduate university students evaluated their subscriptions to three digital learning platforms: Platform X, Platform Y, and Platform Z. The survey revealed:
• 250 students subscribe to Platform X.
• 220 students subscribe to Platform Y.
• 180 students subscribe to Platform Z.
• 80 students subscribe to both X and Y; 60 subscribe to both Y and Z; 70 subscribe to both X and Z.
• 30 students subscribe to all three platforms.
Which of the following statements accurately represent the subscription metrics?

1. The total number of students who subscribe to EXACTLY ONE platform is 320.
2. The number of students who do not subscribe to any of the three platforms is 30.
3. The total number of students who subscribe to EXACTLY TWO platforms is 120.
4. The number of students subscribing to Platform X but NOT Platform Y is 120.