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- Logical Problems
- Section 2
Directions :
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
1.
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
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 & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false. |
2.
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
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.
- Answer & Explanation
- Report
Answer : [C]
Explanation :
Explanation :
| We only know that Jasmine weighs more than Jason. There is no way to tell whether Jasmine also weighs more than Jenna. |
3.
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
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 & Explanation
- Report
Answer : [C]
Explanation :
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. |
4.
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
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 & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph. |
5.
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
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.
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
| Joe is younger than Kathy and older than Mark, so Mark must be younger than Kathy. |
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