All practice questions

A demographic research algorithm maps family lineages using the following logical operators:

• $X \nabla Y$ means $X$ is the legally recognized spouse of $Y$.
• $X \Delta Y$ means $X$ is the biological mother of $Y$.
• $X \Omega Y$ means $X$ is the sibling of $Y$.
• $X \Sigma Y$ means $X$ is the child of $Y$.

Based strictly on the relational sequence $H \Sigma G \nabla F \Delta E \Omega D$, which of the following conclusions is logically definitive?

As the District Treasury Officer, you receive a formal written grievance from a Junior Accountant alleging that the Senior Accounts Officer is arbitrarily rejecting their leave applications and creating a hostile work environment. According to standard administrative grievance redressal procedures, arrange the following steps in the correct chronological order to handle this situation.

Consider the following directives and observation regarding highway transport:

1. Any commercial vehicle transporting hazardous chemicals must display a prominent Class-9 warning placard.
2. A commercial vehicle traveling on the northern expressway is currently displaying a prominent Class-9 warning placard.

Conclusion: The commercial vehicle traveling on the northern expressway is transporting hazardous chemicals.

The conclusion logically follows from the provided directives and observation.

Shortly after sunrise, a wildlife photographer begins tracking an animal. She starts walking in a straight line, noticing that her shadow falls exactly to her left. After walking $40\text{ m}$, she turns $135^\circ$ to her right and walks $30\sqrt{2}\text{ m}$. Finally, she turns $90^\circ$ to her right and walks another $10\sqrt{2}\text{ m}$ to reach the animal. What is her shortest distance and direction from her starting point?

A cyber-security researcher is mapping relationships between different cryptographic systems based on the following definitive premises:

1. All theoretical omni-ciphers are unbreakable algorithms.
2. No unbreakable algorithms are publicly audited protocols.
3. Some publicly audited protocols are legacy systems.

Applying modern formal logic principles, which of the following conclusions logically follow? (Select all valid deductions)

Six friends—Hassan, Imran, Jamal, Kabir, Latif, and Momin—are watching a movie, seated in a single row of six chairs facing the screen (North). Their seating arrangement is as follows:

- Imran is sitting at the extreme right end of the row.
- Latif is sitting second to the left of Imran.
- Jamal is sitting exactly between Kabir and Latif.
- Hassan is sitting immediately to the left of Kabir.

Based on the above information, who is sitting at the extreme left end of the row?

Six colleagues—Priya, Rahul, Sara, Tarun, Uma, and Varun—are seated in a single row facing North for a group photograph. They are seated according to the following conditions:

1. Priya sits at one of the extreme ends of the row.
2. Rahul sits immediately to the right of Priya.
3. There are exactly two persons sitting between Rahul and Uma.
4. Sara sits immediately to the left of Uma.
5. Tarun sits immediately to the right of Rahul.

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

As the Chief Municipal Engineer following a severe monsoon deluge, you have exactly one heavy-duty road clearance crew available for immediate deployment. Four critical locations require urgent intervention. Based on standard principles of public administration and emergency management, arrange the following road clearance tasks in order of priority, from Highest priority (first) to Lowest priority (last).

A municipal transport authority conducted a survey of $500$ daily commuters to analyze their usage of three public transport modes: Bus, Metro, and Train. The survey revealed the following data:
- $210$ commuters use the Bus.
- $190$ commuters use the Metro.
- $160$ commuters use the Train.
- $70$ commuters use exactly two of these transport modes.
- $20$ commuters use all three transport modes.

How many commuters in the surveyed group use none of these three transport modes?

In a covert military operation, communication officers use a specific cryptographic algorithm to secure tactical locations. If the location BRIDGE is encoded as VTWRIY, which of the following represents the code for the location HARBOR?

Statement: Recent independent laboratory tests have confirmed that a massive consignment of fortified grain supplied to the state's public distribution network across four districts contains dangerous levels of synthetic adulterants.

Courses of Action:
I. The food safety department should immediately halt the distribution of the current consignment, seal the regional warehouses, and arrange for an alternative supply of safe grain.
II. The state police should immediately arrest all retail shop owners operating under the public distribution network in these four districts to prevent further sales.

Which of the following logically follows from the given statement and courses of action?

If today is Wednesday, what day of the week will it be after exactly $45$ days?

Six startup founders—Alice, Bob, Charlie, Diana, Ethan, and Fiona—are sitting in a straight row facing the audience during a panel discussion. The seats are numbered 1 to 6 from left to right.

Based on the following conditions, arrange the founders in the correct order from seat 1 (far left) to seat 6 (far right):
- Fiona is seated at one of the extreme ends of the row.
- Charlie sits exactly halfway between Alice and Fiona.
- Alice is seated third to the left of Diana.
- Bob is seated immediately next to Ethan.
- Ethan does not sit next to Diana.

Arrange the founders in their correct seating order from left to right.

A senior Block Development Officer (BDO) is addressing an agitated group of local residents regarding a delayed infrastructure project. The BDO stands with an upright posture, maintains steady eye contact, and uses open-palm gestures while calmly but firmly explaining the statutory limitations of the project fund. Additionally, the BDO deliberately lowers his vocal volume and speaks at a measured, even pace.

Which of the following correctly analyzes the officer's communication techniques?

Four tourists (Alex, Blake, Casey, and Drew) start exploring a flat city from the exact same central plaza. Match each tourist's movement sequence with their final direction relative to the starting point.

Evaluate the statements regarding agricultural export protocols and the subsequent conclusions.

Statement 1: Under the revised National Agricultural Export Policy of 2026, all shipments of organic mangoes destined for the European market must undergo a mandatory hot water treatment to eliminate fruit fly larvae.
Statement 2: The Horizon Agrotech cooperative has successfully exported 50 metric tons of organic mangoes to the European market this month in full compliance with the new policy framework.

Conclusion I: The mangoes exported by the Horizon Agrotech cooperative this month were subjected to hot water treatment prior to shipment.
Conclusion II: The European market has enacted a strict import ban on conventionally grown (non-organic) mangoes due to the risk of fruit fly larvae.

Which of the given conclusions logically follows from the statements?

In a certain artificial language used for genealogical tracking, familial relationships are denoted by mathematical symbols as follows:

$X \star Y$ signifies that $X$ is the biological father of $Y$.
$X \bullet Y$ signifies that $X$ is the biological mother of $Y$.
$X \diamond Y$ signifies that $X$ is the brother of $Y$.
$X \circ Y$ signifies that $X$ is the sister of $Y$.

Evaluate the genealogical string $P \bullet Q \diamond R \star S \circ T$. Which of the following accurately describes the relationship of $Q$ to $T$?

A cryptographer is analyzing intercepted transmissions and has successfully aligned three coded messages with their English translations. Note that the order of words in the coded messages does not necessarily correspond to the order of words in the English translations.

1. 'alpha delta echo' translates to 'secure the perimeter'
2. 'echo bravo charlie' translates to 'the main target'
3. 'alpha charlie foxtrot' translates to 'secure main exit'

Based on these translations, match each English word with its corresponding coded term.

You have recently taken charge as a Block Development Officer (BDO). A group of frontline extension workers submits a formal written grievance against their direct supervisor, the Block Extension Educator. They allege that the supervisor displays blatant favoritism by exclusively allocating highly sought-after field assessment zones to a select few, while restricting the rest to stagnant desk tasks. The protesting workers state that unless this disparity is resolved immediately, they will collectively boycott the upcoming mandatory state census training.

As the BDO, which of the following is the most appropriate course of action?

During a highly attended public consultation for a proposed mass transit expansion, a transportation authority director notes various communication behaviors among the citizens. Which of the following statements correctly classify these non-verbal behaviors under the study of kinesics?