# Logical Problems Questions and Answers

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

Class A has a higher enrollment than Class B.

Class C has a lower enrollment than Class B.

Class A has a lower enrollment than Class C.

If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Explanation:

From the first two statements, we know that of the three classes, Class A has the highest enrollment, so the third statement must be false.

A fruit basket contains more apples than lemons.

There are more lemons in the basket than there are oranges.

The basket contains more apples than oranges.

If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Explanation:

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

Easy method: (Try this method to solve without any confusion)

1. A fruit basket contains more apples than lemons = App > Lem

2. There are more lemons in the basket than there are oranges = Lem > Org

Now, Combine the above two results: App > Lem > Org

3. The basket contains more apples than oranges (App > ... > Org) = Yes.

Therefore, the given 3rd statement is true.

The Shop and Save Grocery is south of Greenwood Pharmacy.

Rebecca's house is northeast of Greenwood Pharmacy.

Rebecca's house is west of the Shop and Save Grocery.

If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Explanation:

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.

Joe is younger than Kathy.

Mark was born after Joe.

Kathy is older than Mark.

If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Explanation:

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

On the day the Barton triplets are born, Jenna weighs more than Jason.

Jason weighs less than Jasmine.

Of the three babies, Jasmine weighs the most.

If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Explanation:

We only know that Jasmine weighs more than Jason.

There is no way to tell whether Jasmine also weighs more than Jenna.

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