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.
6. 

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

A. true
B. false
C. uncertain

Answer: Option A

Explanation:

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.

7. 

Martina is sitting in the desk behind Jerome.
Jerome is sitting in the desk behind Bryant.
Bryant is sitting in the desk behind Martina.
If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Answer: Option B

Explanation:

Given the information in the first two statements, Bryant is sitting in front of both Jerome and Martina, so the third statement must be false.

8. 

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

A. true
B. false
C. uncertain

Answer: Option C

Explanation:

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.

9. 

Spot is bigger than King and smaller than Sugar.
Ralph is smaller than Sugar and bigger than Spot.
King is bigger than Ralph.
If the first two statements are true, the third statement is

A. true
B. false
C. uncertain

Answer: Option B

Explanation:

Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.

10. 

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.