21. If the first two statements are true, the third statement is : I. Martina is sitting in the desk behind Jerome. II. Jerome is sitting in the desk behind Bryant. III. Bryant is sitting in the desk behind Martina.
Option “B” is correct. 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.
 22. If the first two statements are true, the third statement is : I. Battery X lasts longer than Battery Y. II. Battery Y doesn’t last as long as Battery Z. III. Battery Z lasts longer than Battery X.
Option “C” is correct. 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.
 23. If the first two statements are true, the third statement is : I. Spot is bigger than King and smaller than Sugar. II. Ralph is smaller than Sugar and bigger than Spot. III. King is bigger than Ralph.
Option “B” is correct. Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.
 24. If the first two statements are true, the third statement is : I. Middletown is north of Centerville. II. Centerville is east of Penfield. III. Penfield is northwest of Middletown.
Option “B” is correct. Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.
 25. If the first two statements are true, the third statement is : I. All spotted Gangles have long tails. II. Short-haired Gangles always have short tails. III. Long-tailed Gangles never have short hair.
Option “C” is correct. We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
 26. If the first two statements are true, the third statement is : I. All spotted Gangles have long tails. II. Short-haired Gangles always have short tails. III. Long-tailed Gangles never have short hair.
Option “C” is correct. We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
 27.If the first two statements are true, the third statement is : I. All spotted Gangles have long tails. II. Short-haired Gangles always have short tails. III. Long-tailed Gangles never have short hair.
Option “C” is correct. We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
28. If the first two statements are true, the third statement is : I. All spotted Gangles have long tails. II. Short-haired Gangles always have short tails. III. Long-tailed Gangles never have short hair.
Option “C” is correct. We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
29. If the first two statements are true, the third statement is : I. All Lamels are Signots with buttons. II. No yellow Signots have buttons. III. No Lamels are yellow.
Option “A” is correct. 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.
 30. If the first two statements are true, the third statement is : I. The hotel is two blocks east of the drugstore. II. The market is one block west of the hotel. III.The drugstore is west of the market.
Option “A” is correct. The market is one block west of the hotel. The drugstore is two blocks west of the hotel, so the drugstore is west of the market.
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119 thoughts on “Logical Problems”

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