Logical Problems - Type 2 (3)

Directions to Solve

Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.

17.

Taking the train across town is quicker than taking the bus.
Taking the bus across town is slower than driving a car.
Taking the train across town is quicker than driving a car.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option C

Explanation:

Both the car and the train are quicker than the bus, but there is no way to make a comparison between the train and the car.

18.

Three pencils cost the same as two erasers.
Four erasers cost the same as one ruler.
Pencils are more expensive than rulers.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option B

Explanation:

Rulers are the most expensive item.

19.

Tom puts on his socks before he puts on his shoes.
He puts on his shirt before he puts on his jacket.
Tom puts on his shoes before he puts on his shirt.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option C

Explanation:

There is not enough information to verify the third statement.

20.

A toothpick is useful.
Useful things are valuable.
A toothpick is valuable.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option A

Explanation:

To the extent that a toothpick is useful, it has value.

21.

The hotel is two blocks east of the drugstore.
The market is one block west of the hotel.
The drugstore is west of the market.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option A

Explanation:

The market is one block west of the hotel. The drugstore is two blocks west of the hotel, so the drugstore is west of the market.

22.

All Lamels are Signots with buttons.
No yellow Signots have buttons.
No Lamels are yellow.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option A

Explanation:

We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons. Therefore, Lamels do not have buttons and cannot be yellow.

23.

All spotted Gangles have long tails.
Short-haired Gangles always have short tails.
Long-tailed Gangles never have short hair.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option C

Explanation:

We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.

24.

Middletown is north of Centerville.
Centerville is east of Penfield.
Penfield is northwest of Middletown.
If the first two statements are true, the third statement is

A.	true
B.	false
C.	uncertain

Answer: Option B

Explanation:

Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.

Logical Problems - Type 2 (3)

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