## Logical Problems

#### Logical Problems

Direction: Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
Find solutions for the given question.

1. 1. Battery X lasts longer than Battery Y.
2. Battery Y doesn’t last as long as Battery Z.
3. Battery Z lasts longer than Battery X.
If the first two statements are true, the third statement is

1. The first two statements indicate that Battery Y lasts the least amount of time.

##### Correct Option: C

The first two statements indicate that Battery Y lasts the least amount of time, but it cannot be determined if Battery Z lasts longer than Battery X.

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

1. We know only that long-tailed Angles have spots.

##### Correct Option: C

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

1. 1. Joe is younger than Kathy.
2. Mark was born after Joe.
3. Kathy is older than Mark.
If the first two statements are true, the third statement is

1. Joe is younger than Kathy and older than Mark.

##### Correct Option: A

Joe is younger than Kathy and older than Mark, so Mark must be younger than Kathy.

1. 1. The Shop and Save Grocery is south of Greenwood Pharmacy.
2. Rebecca’s house is northeast of Greenwood Pharmacy.
3. Rebecca’s house is west of the Shop and Save Grocery.
If the first two statements are true, the third statement is

1. Because the first two statements are true, Rebecca’s house is also northeast of the Shop and Save Grocery.

##### Correct Option: B

Because the first two statements are true, Rebecca’s house is also northeast of the Shop and Save Grocery, which means that the third statement is false.

1. 1. A fruit basket contains more apples than lemons.
2. There are more lemons in the basket than there are oranges.
3. The basket contains more apples than oranges.
If the first two statements are true, the third statement is

1. There are fewer oranges than either apples or lemons.

##### Correct Option: A

There are fewer oranges than either apples or lemons, so the statement is true.