Tüm alıştırma soruları

Consider the following statement and the two assumptions that follow it.

Statement:
To encourage the use of public transport and reduce vehicular pollution, the city administration has announced a 50% reduction in metro train fares on weekends.

Assumptions:
I. The current metro train network connects all the major residential areas of the city.
II. A significant number of citizens currently use their personal vehicles on weekends for travel within the city.

Which of the following correctly identifies the implicit assumption(s)?

You are serving as the Electoral Registration Officer (ERO) in a district that recently experienced severe flash floods. Hundreds of families in a marginalized settlement lost all their physical identity and address documents in the disaster. Local leaders from a dominant political group submit a formal petition demanding the immediate deletion of these families from the electoral rolls, citing strict statutory rules that require valid documentary proof of residence for continued inclusion. With elections scheduled to take place in three months, which of the following is the most appropriate course of action?

Seven city council members—Higgins, Inez, Jenkins, Kline, Larson, Mosley, and Nunez—are seated around a circular conference table facing the center to discuss urban planning.

• Jenkins is an immediate neighbor of both Inez and Mosley.
• Larson sits third to the left of Mosley.
• Higgins sits second to the right of Jenkins and is an immediate neighbor of Nunez.

Based on the given information, who sits third to the right of Inez?

An official circular from the State Administration Department states: "To ensure the timely resolution of citizen complaints in rural districts, the administration has launched a mandatory digital mobile application for filing all civil grievances directly to the District Magistrate's office."

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

You are the Chief Executive Officer (CEO) of a Zila Parishad. You receive a credible, confidential whistleblower report alleging that the food grains currently being supplied to rural schools under the Mid-Day Meal scheme by a politically influential contractor are highly substandard, contaminated, and potentially unfit for human consumption.

Rank the following courses of action from the most ethically sound and administratively appropriate (1) to the least appropriate (4).

Five scientific experts—a Biologist, a Chemist, an Economist, a Geologist, and a Physicist—are seated in a single row of five chairs facing North. Based on the following conditions, arrange the experts in the exact order they are seated from the extreme left end to the extreme right end:

1. The Chemist sits exactly in the middle seat.
2. The Economist sits immediately to the right of the Physicist.
3. The Biologist does not sit at either of the extreme ends of the row.
4. The Geologist sits somewhere to the left of the Chemist.

Notice at a railway station: "Passengers are requested not to cross the railway tracks directly. Please use the foot overbridge to change platforms."

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

Regarding the economic geography, agriculture, and natural resource distribution of Kerala, which of the following statements are correct?

With reference to the State Vigyan Gaurav Samman conferred in 2025–2026 for distinguished contributions to grassroots technological innovation, consider the following statements:

1. It was awarded to Dr. Radhika Menon for designing decentralized solar-powered micro-irrigation networks tailored for semi-arid agrarian belts.
2. The award is administered annually by the State Council of Science and Technology to recognize high-impact indigenous scientific research and rural deployment.

Which of the statements given above is/are correct?

Eight delegates—J, K, L, M, N, O, P, and Q—are seated in two parallel rows containing four people each, such that there is an equal distance between adjacent persons.

In Row-1, J, K, L, and M are seated and all of them are facing South.
In Row-2, N, O, P, and Q are seated and all of them are facing North.
Each member seated in a row faces another member of the other row.

• N sits second to the right of O.
• The person facing N sits to the immediate right of M.
• The person facing L sits to the immediate left of N.
• J is an immediate neighbor of L but does not face O.
• Q does not sit at an extreme end of the row.

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

You are the Municipal Commissioner of a rapidly expanding city overseeing the construction of a critical flyover designed to resolve severe traffic congestion. During the initial earthworks, contractors discover a cluster of historical artifacts. Local heritage enthusiast groups quickly mobilize at the site, demanding an indefinite halt to the entire project, claiming it might be an ancient settlement. A preliminary visual inspection by a junior historian suggests the items may only be a century old, but a definitive conclusion requires a formal archaeological survey. Halting the entire project would trigger massive daily financial penalties and prolong severe traffic disruptions. Which of the following is the most appropriate administrative course of action?

Read the following scenario and evaluate the given assumptions.

Statement:
"To mitigate the escalating issue of traffic congestion and severe parking shortages in the central business district, the local transit authority has announced a 200% increase in metered parking tariffs starting next week."

Assumption I: A substantial hike in parking tariffs will act as a financial deterrent, discouraging a significant number of commuters from bringing personal vehicles into the business district.
Assumption II: The local transit authority plans to channel the surplus revenue from the increased tariffs into expanding public transportation networks.

Which of the given assumptions is/are implicit in the statement?

Seven chefs—A, B, C, D, E, F, and G—are participating in a culinary competition. They are seated in a single straight row facing North for a tasting session.

- C sits third to the right of the person seated at the extreme left end.
- E sits exactly between A and F.
- F does not sit at either of the extreme ends.
- G sits second to the left of B.
- B is not an immediate neighbor of C.

Based on this arrangement, what is the position of F with respect to G?

Six chefs are participating in a culinary competition. Adam, Ben, and Carl are standing at cooking stations in Row 1 facing South. Xena, Yara, and Zack are at stations in Row 2 facing North. Both rows are parallel to each other, and each chef in Row 1 faces exactly one chef in Row 2.

- Yara works exactly in the middle of her row.
- Ben faces the chef who works to the immediate left of Yara.
- Adam works to the immediate left of Carl.
- Zack does not face Adam.

Based on the given arrangement, which chef works exactly opposite to Xena?

A digital encryption protocol derives a validation key from the mathematical properties of the integer $12600$. The key is calculated by multiplying the total quantity of its even positive divisors by the total quantity of its odd positive divisors. What is the exact value of this validation key?

A large solid cube of side length $6 \text{ cm}$ has its opposite faces painted with the same color. The colors used are red, blue, and yellow. After the paint dries, the large cube is completely cut into smaller cubes of side length $1 \text{ cm}$ each. How many of these smaller cubes will have exactly two faces painted, with one face being red and the other face being yellow?

Six astronauts—Aldrin, Collins, Glenn, Jemison, Ride, and Shepard—are seated in a single straight row facing the main presentation screen (North) during a mission briefing.

Based on the following conditions, arrange the astronauts in their correct seating order from the leftmost position to the rightmost position:

- Jemison sits third to the right of Collins.
- Ride sits at one of the extreme ends of the row.
- Aldrin sits immediately next to Ride, but is not adjacent to Jemison.
- Shepard sits to the immediate left of Glenn.

Arrange the astronauts in order from Position 1 (far left) to Position 6 (far right).

Three different cryptographic algorithms in a secure server refresh their encryption keys at regular intervals. Algorithm X refreshes every $\frac{8}{3}$ milliseconds, Algorithm Y every $\frac{10}{9}$ milliseconds, and Algorithm Z every $\frac{14}{5}$ milliseconds. They all start a refresh cycle simultaneously. Let $M$ be the minimum number of milliseconds until they all start a refresh cycle together again. Let $H$ be the Highest Common Factor (HCF) of their respective refresh intervals in milliseconds. What is the value of $M \div H$?

Six urban planners—Harper, Idris, Julia, Kiran, Leo, and Maya—are sitting around a circular table. Some are facing the center, while others are facing outward.

1. Harper sits second to the right of Idris. Idris faces the center.
2. Julia sits opposite to Harper and faces the same direction as Harper.
3. Kiran sits to the immediate left of Julia and faces outward.
4. Leo sits adjacent to Idris and faces the center.
5. The immediate neighbors of Harper face opposite directions to each other (one faces the center, the other faces outward).

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

A computer algorithm processes a data block and assigns it a routing ID based on modular arithmetic. This ID corresponds to the strictly positive remainder left after dividing the value of $56^{103} - 45$ by $13$.

Find the value of this routing ID.