/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 15 If Thelma sits next to Ivan, and... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

If Thelma sits next to Ivan, and if Frank sits next to Thelma, which one of the following statements could be false? (A) Both Frank and Ivan sit east of Ruby. (B) Both Frank and Ruby sit west of Thelma. (C) Both Frank and Sylvia sit east of Ruby. (D) Both Frank and Thelma sit west of Sylvia. (E) Both Frank and Ruby sit west of Joel.

Short Answer

Expert verified
Statement (C) could be false.

Step by step solution

01

Analyze Given Conditions

We know that Thelma sits next to Ivan and that Frank sits next to Thelma. This means the possible orderings around Thelma could be {Ivan, Thelma, Frank} or {Frank, Thelma, Ivan}. These configurations will help us analyze relative positions for the other people like Ruby, Sylvia, and Joel.
02

Evaluate Statement (A)

Statement (A) claims that both Frank and Ivan sit east of Ruby. With Thelma positioned between Frank and Ivan, it limits their relative position. Depending on Ruby's position, Frank and Ivan can or cannot be east of her, so it might not necessarily be true. We must explore other options before confirming which one "could be false."
03

Evaluate Statement (B)

Statement (B) suggests that both Frank and Ruby sit west of Thelma. Given Frank must sit adjacent to Thelma, if Ruby is not positioned accordingly, this arrangement could be false. However, it is feasible if Thelma is next to both Frank and Ruby in the order, so check other statements before ruling out.
04

Evaluate Statement (C)

Statement (C) says that both Frank and Sylvia sit east of Ruby. Examination shows if Ruby is positioned far to one side, it's possible but not necessary for Frank and Sylvia to be east of her, making the statement potentially false.
05

Evaluate Statement (D)

According to Statement (D), both Frank and Thelma sit west of Sylvia. This scenario can easily occur based on their adjacency and Ruby's position relative to Sylvia, which still makes sense without false implication.
06

Evaluate Statement (E)

Statement (E) posits that Frank and Ruby sit west of Joel. With other conditions given around Thelma, it's viable with many configurations. Hence, it demands further check against other statements to confirm possibility.
07

Conclusion on False Statement

After evaluating all statements, Statement (C) "Both Frank and Sylvia sit east of Ruby" is the one which may not always hold true depending on how the seating can arrange. The rest of the combinations can adapt to various possible seat orders.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

analytical reasoning
Analytical reasoning is like solving a puzzle with different pieces of information that you need to fit together logically. In the context of the exercise, analytical reasoning plays a crucial role in arranging people based on given conditions. It requires you to carefully analyze and deduce possible configurations based on specified conditions, such as "Thelma sits next to Ivan" and "Frank sits next to Thelma."

This process involves visualizing different possible orders, such as {Ivan, Thelma, Frank} or {Frank, Thelma, Ivan}, and using these orders to test each statement's validity.
  • Identify the given conditions.
  • Determine all possible configurations.
  • Evaluate each statement against these configurations.
By mastering analytical reasoning, you become adept at identifying relationships and drawing logical conclusions, necessary skills for tackling complex logical puzzles.
LSAT preparation
LSAT preparation focuses heavily on enhancing your logical reasoning skills, of which analytical reasoning is a major component. The logical puzzles you encounter while preparing for the LSAT involve interpreting, understanding, and analyzing relationships between elements, akin to exercises like the seating arrangement problem.

Preparing for the LSAT using analytical reasoning problems helps you:
  • Identify patterns and structures in given statements.
  • Develop skills to plan and execute logical determinations.
  • Improve efficiency in solving complex puzzles under time constraints.
When practicing, focus on understanding the logic behind each step, as this will both improve your reasoning abilities and help you become more comfortable with the LSAT format. Remember, it's about understanding the process, not just getting the right answer.
deductive reasoning
Deductive reasoning is all about starting from established premises or facts and reasoning your way to a logical conclusion. In the described exercise, deductive reasoning is used to eliminate false statements by applying given facts about how individuals are seated relative to one another.

The process involves:
  • Taking the known conditions, such as who is sitting next to whom.
  • Applying these conditions to assess each potential statement.
  • Deducing which statement can logically be false based on constraints.
For instance, by knowing Thelma's fixed position next to both Ivan and Frank, you can deduce the likelihood of any given configuration relative to the others. Deductive reasoning helps you systematically narrow down possibilities and find the fault in logic if any exists.
logical puzzles
Logical puzzles are both challenging and engaging ways to apply your reasoning skills. They require you to think critically and use the logical connections between elements. In exercises like the one described, logical puzzles involve arranging individuals based on specific conditions and then determining the validity of various claims.

These puzzles help in:
  • Strengthening problem-solving and critical thinking skills.
  • Improving your ability to visualize and map out scenarios mentally.
  • Enhancing your capability to quickly identify viable solutions.
Enjoy the challenge, as frequent practice with logical puzzles prepares you for standardized tests like the LSAT and real-life problem-solving scenarios. Breaking down a puzzle into manageable steps, as in the exercise solution, helps to clarify and make sense of complex scenarios.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Police statistics have shown that automobile antitheft devices reduce the risk of car theft, but a statistical study of automobile theft by the automobile insurance industry claims that cars equipped with antitheft devices are, paradoxically, more likely to be stolen than cars that are not so equipped. Which one of the following, if true, does the most to resolve the apparent paradox? (A) Owners of stolen cars almost invariably report the theft immediately to the police but tend to delay notifying their insurance company, in the hope that the vehicle will be recovered. (B) Most cars that are stolen are not equipped with antitheft devices, and most cars that are equipped with antitheft devices are not stolen. (C) The most common automobile antitheft devices are audible alarms, which typically produce ten false alarms for every actual attempted theft. (D) Automobile owners who have particularly theft-prone cars and live in areas of greatest incidence of car theft are those who are most likely to have antitheft devices installed. (E) Most automobile thefts are the work of professional thieves against whose efforts antitheft devices offer scant protection.

Advertisement: Anyone who exercises knows from firsthand experience that exercise leads to better performance of such physical organs as the heart and the lungs, as well as to improvement in muscle tone. And since your brain is a physical organ, your actions can improve its performance, too. Act now. Subscribe to Stimulus: read the magazine that exercises your brain. The advertisement employs which one of the following argumentative strategies? (A) It cites experimental evidence that subscribing to the product being advertised has desirable consequences. (B) It ridicules people who do not subscribe to Stimulus by suggesting that they do not believe that exercise will improve brain capacity. (C) It explains the process by which the product being advertised brings about the result claimed for its use. (D) It supports its recommendation by a careful analysis of the concept of exercise. (E) It implies that brains and muscle are similar in one respect because they are similar in another respect.

The author discusses the impact of gray marketing on goodwill in order to (A) fault trademark owners for their unwillingness to offer a solution to a major consumer complaint against gray marketing (B) indicate a way in which manufacturers sustain damage against which they ought to be protected (C) highlight one way in which gray marketing across markets is more problematic than gray marketing within a market (D) demonstrate that gray marketing does not always benefit the interests of unauthorized distributors (E) argue that consumers are unwilling to accept a reduction in price in exchange for elimination of service

Harry: Airlines have made it possible for anyone to travel around the world in much less time than was formerly possible. Judith: That is not true. Many flights are too expensive for all but the rich. Judith's response shows that she interprets Harry's statement to imply that (A) the majority of people are rich (B) everyone has an equal right to experience world travel (C) world travel is only possible via routes serviced by airlines (D) most forms of world travel are not affordable for most people (E) anyone can afford to travel long distances by air

Most disposable plastic containers are now labeled with a code number (from 1 to 9 ) indicating the type or quality of the plastic. Plastics with the lowest code numbers are the easiest for recycling plants to recycle and are thus the most likely to be recycled after use rather than dumped in landfills. Plastics labeled with the highest numbers are only rarely recycled. Consumers can make a significant long-term reduction in the amount of waste that goes unrecycled, therefore by refusing to purchase those products packaged in plastic containers labeled with the highest code numbers. Which one of the following, if true, most seriously undermines the conclusion above? (A) The cost of collecting, sorting, and recycling discarded plastics is currently higher than the cost of manufacturing new plastics from virgin materials. (B) Many consumers are unaware of the codes that are stamped on the plastic containers. (C) A plastic container almost always has a higher code number after it is recycled than it had before recycling because the recycling process causes a degradation of the quality of the plastic. (D) Products packaged in plastics with the lowest code numbers are often more expensive than those packaged in the higher-numbered plastics. (E) Communities that collect all discarded plastic containers for potential recycling later dump in landfills plastics with higher-numbered codes only when it is clear that no recycler will take them.

See all solutions

Recommended explanations on English Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.