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Exercise
Directions :
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
6.
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.
  • Answer & Explanation
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Answer : [B]
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.
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7.
All the offices on the 9th floor have wall-towall carpeting.
No wall-to-wall carpeting is pink.
None of the offices on the 9th floor has pink wall-to-wall carpeting.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.
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8.
All the trees in the park are flowering trees.
Some of the trees in the park are dogwoods.
All dogwoods are flowering trees.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
Although all of the trees in the park are flowering trees, it cannot be determined by the information given whether all dogwoods are flowering trees.
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9.
All the tulips in Zoe’s garden are white.
All the pansies in Zoe’s garden are yellow.
All the flowers in Zoe’s garden are either white or yellow.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
The first two statements give information about Zoe’s tulips and pansies. Information about any other kinds of flowers cannot be determined.
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10.
The Kingston Mall has more stores than the Galleria.
The Four Corners Mall has fewer stores than the Galleria.
The Kingston Mall has more stores than the Four Corners Mall.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
From the first two statements, you know that the Kingston Mall has the most stores, so the Kingston Mall would have more stores than the Four Corners Mall.
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