Question 1: 1. Vehicles are either to the right or left of other vehicles. <br> 2. Only Dutch vehicles are next to the German car. <br> 3. The bus is two times bigger than the German car. <br> 4. The Dutch bicycle is placed next to the Swedish truck. <br> 5. The motorcycle has the same country of origin as the vehicles next to the German car. <br> 6. The motorcycle is half the size of the German car. <br> Statement: The motorcycle is Dutch

• TRUE (Correct answer)
• FALSE
• Insufficient information

Correct answer: TRUE

Statement 2 indicates that 'Only Dutch vehicles are next to the German car.' Statement 5 then specifies that 'The motorcycle has the same country of origin as the vehicles next to the German car.' Combining these two facts logically leads to the conclusion that the motorcycle must be Dutch.

Question 2: 1. Vehicles are either to the right or left of other vehicles. <br> 2. Only Dutch vehicles are next to the German car. <br> 3. The bus is two times bigger than the German car. <br> 4. The Dutch bicycle is placed next to the Swedish truck. <br> 5. The motorcycle has the same country of origin as the vehicles next to the German car. <br> 6. The motorcycle is half the size of the German car. <br> Statement: The motorcycle is eight times smaller than the bus"

• TRUE
• FALSE (Correct answer)
• Insufficient information

Correct answer: FALSE

Statement 3 says 'The bus is two times bigger than the German car,' meaning Bus = 2 * German Car. Statement 6 says 'The motorcycle is half the size of the German car,' meaning Motorcycle = 0.5 * German Car. Substituting, Motorcycle = 0.5 * (Bus / 2) = 0.25 * Bus. Therefore, the motorcycle is one-quarter the size of the bus, not eight times smaller.

Question 3: 1. Vehicles are either to the right or left of other vehicles. <br> 2. Only Dutch vehicles are next to the German car. <br> 3. The bus is two times bigger than the German car. <br> 4. The Dutch bicycle is placed next to the Swedish truck. <br> 5. The motorcycle has the same country of origin as the vehicles next to the German car. <br> 6. The motorcycle is half the size of the German car. <br> Statement: The bicycle is half the size of the motorcycle"

• TRUE
• FALSE
• Insufficient information (Correct answer)

Correct answer: Insufficient information

The provided statements offer information about the Dutch bicycle's location (next to the Swedish truck) and the motorcycle's size relative to the German car. However, there is no information given about the size of the bicycle itself, nor its size in relation to the motorcycle. Therefore, we cannot determine if the statement is true or false.

Question 4: An art shop sells art supplies: <br> A tube of paint costs $1.50 <br> A tube of paint covers 2 square feet of canvas. <br> Canvasses are sold small or large: <br> 1 feet by 1,5 feet or 2 feet by 3 feet. The difference in cost of the two canvasses are relative to their size.<br> A beginners package discount consisting of one small canvas, one large canvas and four tubes of paint costs $22. <br> A beginners package discount is $4 cheaper than buying the art supplies separately. <br> Paint is not discounted in a beginners package. <br> Statement: Both canvasses can be painted with a beginners package

• FALSE
• Insufficient information

The small canvas is 1 x 1.5 feet = 1.5 square feet. The large canvas is 2 x 3 feet = 6 square feet. The total canvas area in a beginners package is 1.5 + 6 = 7.5 square feet. The package includes four tubes of paint, and each tube covers 2 square feet, for a total coverage of 4 * 2 = 8 square feet. Since 8 square feet of paint is more than the 7.5 square feet of canvas, both canvases can be painted.

Question 5: An art shop sells art supplies: <br> A tube of paint costs $1.50 <br> A tube of paint covers 2 square feet of canvas. <br> Canvasses are sold small or large: 1 feet by 1,5 feet or 2 feet by 3 feet. The difference in cost of the two canvasses are relative to their size.<br> A beginners package discount consisting of one small canvas, one large canvas and four tubes of paint costs $22. <br> A beginners package discount is $4 cheaper than buying the art supplies separately. <br> Paint is not discounted in a beginners package. Statement: Total tubes of paint are sold more through beginners packages than through separate sales.

• TRUE
• FALSE (Correct answer)
• Insufficient information

Correct answer: FALSE

The provided text details the pricing and contents of art supplies and a beginners package, but it offers no information or statistics regarding the actual sales volume of paint tubes, either individually or as part of packages. Without any data on sales figures, it is impossible to determine if more tubes are sold through beginners packages than through separate sales. Therefore, the statement cannot be proven true based on the given information.

Question 6: An art shop sells art supplies: <br> A tube of paint costs $1.50 A tube of paint covers 2 square feet of canvas. <br> Canvasses are sold small or large: 1 feet by 1,5 feet or 2 feet by 3 feet. The difference in cost of the two canvasses are relative to their size.<br> A beginners package discount consisting of one small canvas, one large canvas and four tubes of paint costs $22. <br> A beginners package discount is $4 cheaper than buying the art supplies separately. <br> Paint is not discounted in a beginners package. <br> Statement: The cost of a separate large canvas is $14

• TRUE
• FALSE (Correct answer)
• Insufficient information

Correct answer: FALSE

The beginners package costs $22, which is $4 cheaper than buying items separately, meaning the separate cost is $26. Four tubes of paint cost 4 * $1.50 = $6. So, the two canvases bought separately cost $26 - $6 = $20. The canvases' costs are relative to their size: small (1.5 sq ft) and large (6 sq ft). The total area is 7.5 sq ft. If the cost per sq ft is 'c', then 7.5c = $20, so c = $20 / 7.5 = $2.67 per sq ft. The large canvas (6 sq ft) would cost 6 * $2.67 = $16.00. Since the statement claims the cost is $14, it is false.

Question 7: Review the facts below. <br> 1.Tim lives in a big apartment. <br> 2.Abby lives in a small apartment. <br> 3.There are no big apartments in Tinyville. <br> 4.Small apartments have one bedroom. <br> 5. Based on the information above, <br> which of the following MUST be true?

• Tim lives in Tinyville
• Abby lives in Tinyville
• Big apartment have one bedroom
• Abby's apartment has one bedroom (Correct answer)
• Tim and Abby live in the same town

Correct answer: Abby's apartment has one bedroom

Fact 2 states that 'Abby lives in a small apartment.' Fact 4 states that 'Small apartments have one bedroom.' By combining these two facts, it logically follows that Abby's apartment must have one bedroom. The other options cannot be definitively proven true from the given information.

Question 8: Five bears – Jinan, Knot, Lee, Mushu, and Nee-Hau – are kept in three adjacent rooms numbered 1-3 from left to right. <br> 1.There is at least one bear in each room. <br> 2.The knot is in a room to the left of Lee's. <br> 3.Mushu and Nee-Hau are not kept in the same room. <br> 4.Either Mushu or Jinan, but not both, are kept in room 2. <br> 5.Nee-Hau is kept in room 3. <br> A sixth bear, Osami, is brought into either room 2 or 3. <br> If there are now two bears in each room, which one of the following must be true?

• Knot is kept in room 1 (Correct answer)
• Jinan is kept in room 2
• Mushu is kept in room 2
• Osami is kept in room 3
• Lee is kept in room 3

Correct answer: Knot is kept in room 1

Given that there are 6 bears and 3 rooms with 2 bears each, and Nee-Hau is in Room 3 (Rule 5), Mushu cannot be in Room 3 (Rule 3). If Knot were in Room 2, then Lee would have to be in Room 3 (Rule 2). This would place Nee-Hau and Lee in Room 3. With Mushu not in Room 3, and Osami in Room 2 or 3, it becomes impossible to place the remaining bears (Jinan, Mushu, Osami) without violating the 'two bears per room' or 'Mushu XOR Jinan in Room 2' rules. Therefore, Knot must be in Room 1 to allow for a consistent arrangement.

Question 9: John, Kate and Lenny just came back from trips to the following countries: <br> Mauritania, Nepal, Oman, Peru and Qatar. <br> 1. Each country was visited by at least one of the travellers. <br> 2. Each traveller visited either two or three different countries. <br> 3. Only one traveller visited Qatar. <br> 4. Every traveller who visited Mauritania went to Nepal as well. <br> 5. A traveller who visited Qatar did not visit Peru. <br> 6. John visited all of the countries Kate did. <br> If Kate visited three countries, then which one of the following must be true?

• John travelled to Peru (Correct answer)
• Lenny traveled to Nepal
• All three travelers traveled to Mauritania
• All three travelers traveled to Nepal
• Kate and Lenny traveled to the same number of countries

Correct answer: John travelled to Peru

We are told Kate visited three countries, and John visited all countries Kate did (Rule 6). This means John also visited three countries, and their country sets are identical. Rule 3 states only one traveler visited Qatar, and Rule 5 states a traveler who visited Qatar did not visit Peru. If Kate or John visited Qatar, then John would have visited Qatar too, violating Rule 3. Therefore, Lenny must be the one who visited Qatar, and consequently, Lenny did not visit Peru. Since every country was visited by at least one traveler (Rule 1), and Lenny did not visit Peru, John (and Kate) must have traveled to Peru.

Question 10: A sportswear store offers various brands of shoes for sale. <br> Each salesperson in the store receives a base salary of 80 dollars per workday and can receive an additional bonus based on sales. <br> For certain types of sales, a special tax deduction from the salesperson's paycheck is made, as follows: <br> 1. All sales above 155 $. <br> 2. All sales above 90 $, paid with a credit card. <br> 3. All sales paid with Bitcoins. <br> Which of the sales below is subjected to tax deduction?

• $87 paid with a credit card
• $120 paid in cash
• $150 paid in a debit card
• $72 paid with bitcoin (Correct answer)
• $90 paid with a credit card

Correct answer: $72 paid with bitcoin

The rules for tax deduction include 'All sales paid with Bitcoins' (Rule 3). Option D, '$72 paid with bitcoin,' directly matches this rule. The amount of the sale is irrelevant when payment is made with Bitcoins, as any sale paid with Bitcoins is subject to deduction. The other options do not meet any of the specified criteria for a tax deduction.

Question 11: Agronomists are hard at work developing a drought-resistant species of lawn grass. They contend that this is essential even if the agricultural project will not yield any new knowledge about grass's genetic engineering that could not be gotten by other means. For a future climate of increased global warming, they say, we will need the biotechnical knowledge that such an agricultural project will give us about grass's ability to grow in a hot, dry environment. Which one of the following is an underlying assumption of the above argument?

• People will continue to grow grass lawns in the future era of global warming (Correct answer)
• Global warming will turn regions of the world into drought-stricken areas
• This agricultural project will succeed in developing a new species of grass
• A drought-resistant species of grass will rarely need to be watered
• The future climate will supply insufficient water in water grass

Correct answer: People will continue to grow grass lawns in the future era of global warming

The agronomists argue that developing drought-resistant grass is essential because 'we will need the biotechnical knowledge' for a future of global warming. This argument implicitly assumes that people will continue to desire and maintain grass lawns in such a future climate. If people were to abandon grass lawns, the 'need' for this specific type of grass and the knowledge to grow it would diminish, undermining the argument's premise.