FREE CJBAT Deductive Reasoning Test 1

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

Correct! Wrong!

If Kate visited three countries, it means that John visited exactly the same countries - no more (second condition) and no less (last condition). According to the last condition, if Kate had visited Qatar, John would have had to visit there too. However, this contradicts the third condition. Therefore we conclude that Kate did not visit Qatar and, therefore, neither did John, which leaves Lenny. Whoever visited Qatar could not have been to Peru as well (fifth condition); therefore it must have been Kate and John who visited Peru. Answer choice A states exactly that.

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

Correct! Wrong!

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

Correct! Wrong!

There are no direct or indirect comparisons made between the size of the bicycle and the motorcycle. Therefore there is insufficient information to consider the statement true or false.

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

Correct! Wrong!

It is the only answer that meets the criteria written above; all sales paid with Bitcoins are prone to a special tax deduction. Therefore, a $72 sale paid with Bitcoins is included. •Note that a $90 sale paid with a credit card is not the correct answer since the rule refers to all sales above $90 paid with a credit card.

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

Correct! Wrong!

We know that Abby lives in a small apartment, and we know that small apartments have one bedroom. Therefore we can conclude that Abby's apartment has one bedroom.

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

Correct! Wrong!

Line 5 states that the motorcycle has the same country of origin as the vehicles next to the German car. Line 2 states that only Dutch vehicles are next to the German car. This means the motorcycle is Dutch and the statement is true.

An art shop sells art supplies:
A tube of paint costs $1.50
A tube of paint covers 2 square feet of canvas.
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.
A beginners package discount consisting of one small canvas, one large canvas and four tubes of paint costs $22.
A beginners package discount is $4 cheaper than buying the art supplies separately.
Paint is not discounted in a beginners package.
Statement: Both canvasses can be painted with a beginners package

Correct! Wrong!

4 tubes of paint can cover 8 square feet of canvas. The total total square feet of canvas in the package is 7,5 (1x1,5 + 2x3). Therefore the statement is true.

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?

Correct! Wrong!

A question of the type Identifying the Assumption of the argument has two parts: You must first locate the argument (the conclusion) and then ask yourself what must be true (assumed) so that the argument is valid or true. This passage has two sentences only, and the argument is repeated in both: developing a drought-resistant species of grass is essential for the age of future global warming. Now, read through each answer choice and look for an assumption, or what must be true, so that developing a drought-resistant species of grass is essential. Do not be misguided by all of the answer choices that repeat valid claims from the passage; you are looking for an underlying assumption – precisely something that does not explicitly appear in the passage. The argument states that a future climate of global warming necessitates developing strains of drought-resistant grass. The assumption this argument rests on is that people will continue to grow grass lawns in the future era of global warming.

An art shop sells art supplies:
A tube of paint costs $1.50
A tube of paint covers 2 square feet of canvas.
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.
A beginners package discount consisting of one small canvas, one large canvas and four tubes of paint costs $22.
A beginners package discount is $4 cheaper than buying the art supplies separately.
Paint is not discounted in a beginners package. Statement: Total tubes of paint are sold more through beginners packages than through separate sales.

Correct! Wrong!

There are no direct or indirect statements about the number of sales of tubes of paint. Therefore there is insufficient information to consider the statement true or false.

An art shop sells art supplies:
A tube of paint costs $1.50 A tube of paint covers 2 square feet of canvas.
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.
A beginners package discount consisting of one small canvas, one large canvas and four tubes of paint costs $22.
A beginners package discount is $4 cheaper than buying the art supplies separately.
Paint is not discounted in a beginners package.
Statement: The cost of a separate large canvas is $14

Correct! Wrong!

The separate products of the beginners package cost $26 (22+4) together.
The two canvases without the four tubes of paint cost $20 together (26 - 4x1.50). The large canvas is four times as expensive as the small canvas (1,5 square feet vs 6 square feet). Knowing the 1:4 ratio, the $20 is made up of $4 for the small canvas and $16 for the large canvas. Therefore the statement is false.

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

Correct! Wrong!

Line 6 states that the motorcycle is half the size of the German car and line 3 states that the bus is two times bigger than the German car. Therefore the motorcycle is four times smaller than the bus. The statement is false.

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