Logical Problems

11. If the first two statements are true, the third statement is :
I. Class A has a higher enrollment than Class B.
II. Class C has a lower enrollment than Class B.
III. Class A has a lower enrollment than Class C.


Option “B” is correct.
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.

12. If the first two statements are true, the third statement is :
I. Class A has a higher enrollment than Class B.
II. Class C has a lower enrollment than Class B.
III. Class A has a lower enrollment than Class C.


Option “B” is correct.
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.

13. If the first two statements are true, the third statement is :
I. Class A has a higher enrollment than Class B.
II. Class C has a lower enrollment than Class B.
III. Class A has a lower enrollment than Class C.


Option “B” is correct.
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.

14. If the first two statements are true, the third statement is :
I. Class A has a higher enrollment than Class B.
II. Class C has a lower enrollment than Class B.
II. Class A has a lower enrollment than Class C.


Option “B” is correct.
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.

15. If the first two statements are true, the third statement is :
I. A fruit basket contains more apples than lemons.
II. There are more lemons in the basket than there are oranges.
II. The basket contains more apples than oranges.

Option “A” is correct.
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.

16. If the first two statements are true, the third statement is :
I. The Shop and Save Grocery is south of Greenwood Pharmacy.
II. Rebecca’s house is northeast of Greenwood Pharmacy.
III. Rebecca’s house is west of the Shop and Save Grocery.


Option “A” is correct.
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.

17.If the first two statements are true, the third statement is :
I. Joe is younger than Kathy.
II. Mark was born after Joe.
III. Kathy is older than Mark.


Option “A” is correct.
Joe is younger than Kathy and older than Mark, so Mark must be younger than Kathy.

18. If the first two statements are true, the third statement is :
I. On the day the Barton triplets are born,
II. Jenna weighs more than Jason.
III. Jason weighs less than Jasmine.
Of the three babies, Jasmine weighs the most.


Option “C” is correct.
We only know that Jasmine weighs more than Jason. There is no way to tell whether Jasmine also weighs more than Jenna.

19. If the first two statements are true, the third statement is :
I. The temperature on Monday was lower than on Tuesday.
II. The temperature on Wednesday was lower than on Tuesday.
III. The temperature on Monday was higher than on Wednesday


Option “C” is correct.
We know from the first two statements that Tuesday had the highest temperature, but we cannot know whether Monday’s temperature was higher than Tuesday’s

20. If the first two statements are true, the third statement is :
I. Oat cereal has more fiber than corn cereal but less fiber than bran cereal.
II. Corn cereal has more fiber than rice cereal but less fiber than wheat cereal.
III. Of the three kinds of cereal, rice cereal has the least amount of fiber.


Option “C” is correct.
From the first statement, we know that bran cereal has more fiber than both oat cereal and corn cereal. From the second statement, we know that rice cereal has less fiber than both corn and wheat cereals. Therefore, rice cereal has the least amount of fiber.

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