Logical Reasoning and Analytical Ability

Consider the following statements regarding modern smart-city infrastructure:
1. All autonomous vehicles are sensor-equipped machines.
2. No sensor-equipped machines are completely unpredictable systems.
3. Some completely unpredictable systems are weather phenomena.

Which of the following candidate conclusions logically follow from the given statements? Select all that apply.

Seven scientists—Dr. Aris, Dr. Bell, Dr. Chen, Dr. Diaz, Dr. Evans, Dr. Ford, and Dr. Grant—are seated at equal distances around a circular table. Some are facing the center, while others are facing outward.

1. Dr. Ford faces the center. Dr. Chen sits second to the left of Dr. Ford.
2. Dr. Grant sits third to the right of Dr. Chen. Dr. Grant faces outward.
3. Dr. Aris sits to the immediate left of Dr. Grant.
4. Dr. Evans sits second to the right of Dr. Aris, and faces the same direction as Dr. Ford.
5. Dr. Bell is not an immediate neighbor of Dr. Chen.
6. Dr. Diaz and Dr. Bell face opposite directions.
7. Both immediate neighbors of Dr. Chen face the center.

Based on the seating arrangement, which of the following statements is definitely true?

In a certain coded language, family relationships are represented as follows:

$P \star Q$ means $P$ is the father of $Q$.
$P \diamond Q$ means $P$ is the mother of $Q$.
$P \triangle Q$ means $P$ is the brother of $Q$.
$P \nabla Q$ means $P$ is the sister of $Q$.

Based on the expression $Kiran \star Anjali \nabla Samir \triangle Rohan$, what is the relationship of Rohan to Kiran?

Match each movement sequence in Column I with its correct final position or facing direction in Column II.

The State Disaster Management Agency (SDMA) has established guidelines for classifying districts under the "Drought Relief Emergency Fund" (DREF). As of August 2026, a district is designated as "Category A" (Immediate Allocation) if it meets the following primary criteria:

1. Has a recorded rainfall deficit of at least 40% over the most recent monsoon season.
2. Has agricultural land comprising more than 60% of its total geographical area.
3. Has a functional water-reservoir capacity dropping below 25%.
4. Has not received any state emergency relief funds in the last 2 years (since August 2024).

Exceptions to the primary criteria:
* If a district satisfies all criteria EXCEPT (2), but is officially notified as a "Tribal Majority District", the case is referred to the SDMA Chief Director.
* If a district satisfies all criteria EXCEPT (3), but its primary sown crop is "Water-Intensive", it is classified as "Category B" (Partial Allocation).

Case File:
Navan District recorded a rainfall deficit of 45% during the last monsoon. Its current functional water-reservoir capacity stands at 18%. The district last received state emergency relief funds in January 2023. Agricultural land makes up 52% of the district's total area. Navan is officially notified as a Tribal Majority District.

Based on the criteria provided, which of the following administrative decisions must be taken for Navan District?

Read the following administrative circular carefully.

Statement: The State Transport Authority (STA) has issued a directive mandating that all inter-city commercial buses must be retrofitted with GPS tracking devices and driver-fatigue monitoring cameras within the next three months, failing which their route permits will be permanently revoked.

Which of the following assumptions are implicit in the given statement? (Select all that apply)

Five genre films—Comedy, Drama, Horror, Romance, and Sci-Fi—are scheduled to be screened one after another from Monday to Friday, with exactly one film shown per day.

Arrange the films in their correct chronological sequence from Monday to Friday based on the following conditions:
1. Exactly two films are screened between the Comedy film and the Sci-Fi film.
2. The Romance film is screened immediately before the Sci-Fi film.
3. The Drama film is screened on a day after the Comedy film, but not on Friday.
4. The Horror film is screened on a day before the Romance film.

Statement: An internal financial audit has revealed that a prominent state-funded university has systematically inflated its student enrollment figures over the past five years to illegally secure massive surplus infrastructural grants from the Higher Education Ministry.

Courses of Action:
I. The Higher Education Ministry should immediately suspend the university's academic charter and invalidate the ongoing academic sessions until the misappropriated funds are fully recovered by the state exchequer.
II. The government should immediately freeze all further discretionary funding to the institution, institute a high-level investigative committee to identify the culpable administrators, and appoint a temporary oversight board to ensure uninterrupted classes for genuine students.

Which of the following logically follows?

Problem: A routine performance review of a state-run healthcare initiative discovered that 15% of the allocated quarterly funds were misdirected due to data entry mistakes made by temporary staff during the digitization of patient records.
Proposed Course of Action: The health department should immediately deduct the misdirected funds directly from the salaries of the temporary staff to recover the financial loss.

Determine if the following statement is true or false: The proposed course of action is logically sound and represents a practical administrative remedy.

Four corporate managers—K, L, M, and N—are assigned to four different regional offices: North, South, East, and West. Additionally, each manager specializes in exactly one distinct sector: Finance, HR, Marketing, and Operations. Read the following operational conditions carefully:

1. The manager assigned to the North office specializes in Finance.
2. L specializes in Marketing but is neither assigned to the East nor the West office.
3. N is assigned to the West office but does not specialize in Operations.
4. K is not assigned to the East office.

Based on these conditions, match each manager with their correct specialization sector.

The State Education Board has recently issued the following mandate to all affiliated institutions:

'Starting from the upcoming academic session, every primary school is required to allocate the first 30 minutes of the daily schedule strictly for physical mindfulness routines. This measure is introduced with the objective of enhancing overall student concentration and classroom discipline.'

Based on this mandate, which of the underlying assumptions are implicit? (Select all that apply)

Statement: A sudden outbreak of a highly contagious, though non-lethal, viral fever has been reported in three densely populated residential colonies of the city. This has led to a massive surge in patient numbers, severely overwhelming the local primary health centers.

Which of the following proposed courses of action logically follow and should be implemented by the administration? (Select all that apply)

Match each movement sequence described in List-I with its corresponding final position relative to the starting point in List-II.

Five administrative project files—File Alpha, File Beta, File Gamma, File Delta, and File Epsilon—were reviewed and cleared sequentially by a scrutiny committee. Based on the following clearance conditions, arrange the five files in the correct chronological order from the first file cleared to the last file cleared:

1. File Beta was cleared immediately after File Alpha.
2. File Delta was cleared after File Epsilon but before File Gamma.
3. File Alpha was cleared at some point after File Gamma.

What is the correct sequence of clearance from first to last?

A delivery courier starts from a central warehouse and travels $5\text{ km}$ due North. The courier then turns right and travels $12\text{ km}$ due East, and finally turns right again and travels $5\text{ km}$ due South. What is the shortest distance and direction of the courier relative to the starting warehouse?

Five senior policy analysts—Anish, Babita, Chirag, Divya, and Esha—are scheduled to deliver research presentations sequentially from 1st to 5th slot. The schedule must satisfy the following conditions:
1. Babita presents immediately before Esha, but at some point after Anish.
2. Chirag does not give the 1st presentation, and there are exactly two presentations scheduled between Chirag and Divya.
3. Divya delivers her presentation before Babita.
4. Esha is not assigned to the final (5th) presentation slot.

Arrange the five analysts in the correct sequence of their presentations from 1st to 5th.

Match each person's multi-turn displacement sequence in List I with their corresponding final position relative to their starting point in List II.

Match each administrative policy or natural event in List I with its most direct logical outcome or primary effect in List II.

Four police officers on patrol follow different multi-step tactical movement routes involving angular rotations and shadow orientations. Match each officer's movement sequence (List-I) with their net displacement vector relative to their starting point (List-II).

Five senior officers—Ananya, Bhavesh, Chitra, Dev, and Ehsaan—are ranked from Rank 1 (highest seniority) to Rank 5 (lowest seniority). Each officer heads a distinct department among Home, Finance, Urban Development, Health, and Education.

Based on the following administrative records, determine the unique order of the five officers from Rank 1 (highest) to Rank 5 (lowest):
1. The officer heading Education is ranked immediately above the officer heading Finance, who in turn is ranked immediately above Chitra.
2. Ananya is ranked higher than the officer heading Health, who is ranked higher than Ehsaan.
3. Bhavesh is ranked lower than the officer heading Urban Development, but higher than Dev.
4. Bhavesh does not head the Education or Home department.
5. Dev does not head the Health or Finance department, and Ehsaan is not the officer heading Home.