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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.
1.
A toothpick is useful.
Useful things are valuable.
A toothpick is valuable.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
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Answer : [A]
Explanation :
To the extent that a toothpick is useful, it has value.
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2.
All Lamels are Signots with buttons.
No yellow Signots have buttons.
No Lamels are yellow.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons. Therefore, Lamels do not have buttons and cannot be yellow.
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3.
The bookstore has a better selection of postcards than the newsstand does.
The selection of postcards at the drugstore is better than at the bookstore.
The drugstore has a better selection of postcards than the bookstore or the newsstand.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
Of the three, the drugstore has the best selection of postcards.
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4.
Tom puts on his socks before he puts on his shoes.
He puts on his shirt before he puts on his jacket.
Tom puts on his shoes before he puts on his shirt.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
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Answer : [C]
Explanation :
There is not enough information to verify the third statement.
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5.
A jar of jelly beans contains more red beans than green.
There are more yellow beans than red.
The jar contains fewer yellow jelly beans than green ones.
If the first two statements are true, the third statement is
  • A.
    true.
  • B.
    false.
  • C.
    uncertain.
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
The first two statements indicate there are more yellow jelly beans than red and green.
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