Logical Reasoning - Logical Problems

Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
1. 

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.

2. 

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.

3. 

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.

4. 

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.

5. 

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.