Logical Reasoning and Analytical Ability

In a family of seven members—A, B, C, D, E, F, and G—the following relationships are known:

- D is the maternal grandfather of E and has exactly three children, all of whom are daughters.
- C is the father of E and has no siblings.
- B is the wife of C.
- F is the mother of G and the sister-in-law of C.

Based on the provided information, which of the following statements must be true?

Six architects—Maya, Noah, Oliver, Piper, Quinn, and Riley—are seated around a triangular table. Three of them sit at the corners of the table facing the center, while the other three sit at the middle of the sides facing outward.

1. Maya sits at a corner.
2. Quinn sits second to the left of Maya.
3. Oliver sits to the immediate right of Noah, but Noah is not seated at a corner.
4. Riley is not an immediate neighbor of Quinn.

Based on the seating arrangement, which of the following statements are true? (Select all that apply)

Eight executives (A, B, C, D, E, F, G, and H) are attending a strategy meeting. They are seated in two parallel rows containing four seats each, with an equal distance between adjacent seats.

In Row 1: A, B, C, and D are seated and all of them are facing South.
In Row 2: E, F, G, and H are seated and all of them are facing North.
Therefore, each person in Row 1 faces exactly one person in Row 2.

The following conditions are given:
1. D sits second to the left of the person who faces F.
2. F does not sit at any of the extreme ends of the row.
3. Only one person sits between A and C.
4. The person who faces C sits to the immediate left of H.
5. G sits to the right of E but not immediately.
6. B does not face E.

Based on the given seating arrangement, who sits second to the left of the person facing C?

Announcement: The state administration's newly launched agricultural initiative guarantees financial subsidies solely to cultivators adopting organic farming techniques.

Is it logically valid to deduce from this announcement that cultivators relying on conventional chemical fertilizers are banned from trading their harvest within the state?

Statement: The National Highway Authority (NHA) has decided to double the toll tax for all commercial freight vehicles operating on the Northern Expressway during peak daytime hours (8 AM to 8 PM), while simultaneously offering a 30% discount on the standard toll for the same vehicles traveling between midnight and 6 AM.

Assumption I: A significant proportion of commercial freight operators possess the logistical flexibility to reschedule their transit operations from daytime to nighttime hours.
Assumption II: The traffic congestion currently experienced on the Northern Expressway during peak daytime hours is predominantly caused by commercial freight vehicles rather than private passenger cars.

Based on the statement provided, which of the given assumptions is/are logically implicit?

Four conference delegates—Farhan, Gita, Harish, and Ira—are to be divided into two discussion panels, Panel 1 and Panel 2, with exactly two delegates on each panel. The assignment must obey the following rules:
1. Farhan and Gita cannot be assigned to the same panel.
2. If Harish is assigned to Panel 1, then Gita must also be assigned to Panel 1.

If Harish is assigned to Panel 1, which pair of delegates must be assigned to Panel 2?

Four senior administrative officers—Farhan, Geeta, Harish, and Indu—are assigned to two administrative committees: Committee 1 and Committee 2, with exactly two officers in each committee. Each officer specializes in one distinct domain: Finance, IT, Legal, or Operations.

The assignments are made according to the following conditions:
1. Harish specializes in Finance and is assigned to Committee 1 together with Geeta.
2. Indu specializes in Operations and is assigned to a different committee from Harish.
3. The IT specialist is assigned to Committee 2.
4. Farhan is not in the same committee as the Legal specialist.

Based on the information above, which of the following statements are correct?

Match each multi-step movement sequence described in List-I with its corresponding net displacement (distance and direction) relative to the initial starting point in List-II.

A state legislative committee is reviewing a new operational mandate. Consider the policy directive and the submitted counter-argument below:

Directive: Should the state government mandate that all public infrastructure procurement contracts be awarded strictly to companies maintaining a 100% remote workforce in order to rapidly reduce carbon emissions?

Argument: No, because essential infrastructure projects such as highway construction and dam maintenance inherently require physical on-site labor and cannot possibly be executed by a remote workforce.

Assertion: This argument is logically weak because it solely addresses the operational feasibility of the action rather than directly refuting the policy's primary environmental goal.

Based on the hypothetical classifications provided below, identify which deductions hold true.

Statements:
1. All chronitons are temporal particles.
2. No temporal particles are stable elements.
3. Some stable elements are isotopes.

Conclusions:
I. No chronitons are stable elements.
II. Some chronitons are temporal particles.
III. Some isotopes are not temporal particles.
IV. Some chronitons are not stable elements.

Which of the conclusions logically follow from the statements?

Consider the given statements and the proposed conclusion to evaluate the final claim.

Statements:
1. Only regular employees with a minimum of five years of continuous service are eligible for the newly introduced corporate housing loan scheme.
2. Mr. Sharma has successfully availed a housing loan under this new corporate scheme.

Conclusion: Mr. Sharma has been a regular employee for at least five years.

The proposed conclusion logically and definitively follows from the given statements.

Consider the following statement regarding public utility management:

Statement: Should the state water authority mandate the installation of smart water meters in all residential households with immediate effect, penalizing non-compliance by entirely disconnecting the municipal water supply?

Which of the following arguments are considered logically STRONG in response to this statement? (Select all that apply)

An ecologist studying deep-sea ecosystems establishes two facts: Every bioluminescent organism found in this trench is an invertebrate, and some invertebrates in this ecosystem are highly venomous. Based strictly on these formal premises, it is logically guaranteed that some bioluminescent organisms in the trench are highly venomous.

Seven researchers—Aarav, Brinda, Chetan, Divya, Ekta, Faisal, and Gautam—are to be assigned to three project teams: Alpha, Beta, and Gamma, adhering strictly to the following conditions:

1. Each team must contain at least two researchers.
2. Aarav and Brinda must be assigned to the same team.
3. Chetan cannot be in the same team as Divya or Ekta.
4. Faisal and Gautam must be assigned to different teams.
5. Team Alpha consists of exactly three members, one of whom is Faisal.
6. Ekta is assigned to Team Beta.

Based on these conditions, which of the following statements are correct?

Five administrative officers—Karan, Lata, Manoj, Nidhi, and Om—reside on five different floors of an official residential building (numbered 1 to 5, where floor 1 is the bottommost floor and floor 5 is the topmost floor). Based on the following conditions, arrange the officers in descending order of their floor numbers (from floor 5 down to floor 1):

1. Karan lives on the 5th floor.
2. Lata lives on the 1st floor.
3. Om lives on the floor immediately below Karan.
4. Manoj lives on the floor immediately above Nidhi.

Four health officers—Aman, Bina, Cyrus, and Divya—are assigned to inspect four different food stalls: P, Q, R, and S, such that each officer inspects exactly one stall. Aman inspects stall P. Cyrus inspects stall Q. Bina does not inspect stall Q or stall S. Which food stall does Divya inspect?

Six policy advisors—Ankit, Bina, Chirag, Deepa, Eshan, and Fatima—are assigned to two special task forces, Task Force Alpha and Task Force Beta, with exactly three members in each task force. Each advisor specializes in exactly one of three domains: Cyber Security, Climate Policy, or Macroeconomics, such that exactly two advisors specialize in each domain.

The assignments adhere to the following conditions:
1. Fatima is assigned to Task Force Alpha and specializes in Cyber Security.
2. Eshan specializes in Climate Policy and is assigned to Task Force Beta.
3. Ankit and Chirag specialize in the same domain but are assigned to different task forces.
4. Deepa specializes in Cyber Security.
5. Bina is assigned to Task Force Beta.

Which of the following statements must be true regarding the domain specialization and task force assignments?

A wildlife biologist starts tracking a tagged animal from a base station while facing North. She first walks $14\text{ m}$ due North, then turns $90^\circ$ clockwise and walks $18\text{ m}$. Next, she turns $135^\circ$ clockwise and walks $10\sqrt{2}\text{ m}$. Finally, she turns $45^\circ$ counter-clockwise and walks $10\text{ m}$ straight ahead to reach her observation point. What is the shortest distance between her observation point and the base station, and in which direction is she relative to the base station?

The following criteria must be satisfied for the recruitment of a Senior Project Analyst in a state government department:

1. The candidate must hold a Master's degree in Economics or Public Administration with a minimum of $60\%$ marks.
2. The candidate must be between $25$ and $35$ years of age as of August 1, 2026.
3. The candidate must possess at least $3$ years of work experience in public policy or data analysis.
4. The candidate must have cleared the State Level Computer Proficiency Test (CPT).

Exceptions / Override Provisions:
- Provision (i): If a candidate satisfies all criteria except (1) above, but has obtained a Ph.D. in a relevant subject and scored at least $55\%$ marks at the Master's level, the case is to be referred to the Selection Committee Chairman.
- Provision (ii): If a candidate satisfies all criteria except (3) above, but has served for $5$ or more years as a Junior Analyst in a government office, the case is to be referred to the Executive Director.
- Provision (iii): If a candidate satisfies all criteria except (2) above, but is a project-displaced candidate, an age relaxation of up to $5$ years is permitted.

Candidate Information:
Rajesh was born on July 15, 1999. He completed his Master's degree in Economics with $58\%$ marks and subsequently earned a Ph.D. in Economics. He has worked for $4$ years as a public policy analyst in a reputed research institute and successfully cleared the CPT.

Based strictly on the criteria and provisions provided, which of the following administrative decisions should be taken regarding Rajesh's candidature?

Study the following coded relationships carefully:

- $P + Q$ means '$P$ is the mother of $Q$'
- $P - Q$ means '$P$ is the brother of $Q$'
- $P \times Q$ means '$P$ is the husband of $Q$'
- $P \div Q$ means '$P$ is the sister of $Q$'
- $P \star Q$ means '$P$ is the son of $Q$'

Based on the expression $U + V \times W \div X \star Y - Z$, which of the following statements is DEFINITELY correct?