Logical Problems
Direction: Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
Find solutions for the given question.
- 1. Spot is bigger than King and smaller than Sugar.
2. Ralph is smaller than Sugar and bigger than Spot.
3. King is bigger than Ralph.
If the first two statements are true, the third statement is
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Spot is bigger than King, and Ralph is bigger than Spot.
Correct Option: B
Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.
- 1. The temperature on Monday was lower than on Tuesday.
2. The temperature on Wednesday was lower than on Tuesday.
3. The temperature on Monday was higher than on Wednesday.
If the first two statements are true, the third statement is
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We know from the first two statements that Tuesday had the highest temperature.
Correct Option: C
We know from the first two statements that Tuesday had the highest temperature, but we cannot know whether Monday’s temperature was higher than Tuesday’s.
- 1. On the day the Barton triplets are born, Jenna weighs more than Jason.
2. Jason weighs less than Jasmine.
3. Of the three babies, Jasmine weighs the most.
If the first two statements are true, the third statement is
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We only know that Jasmine weighs more than Jason.
Correct Option: C
We only know that Jasmine weighs more than Jason. There is no way to tell whether Jasmine also weighs more than Jenna.
- 1. Oat cereal has more fiber than corn cereal but less fiber than bran cereal.
2. Corn cereal has more fiber than rice cereal but less fiber than wheat cereal.
3. 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
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From the first statement, we know that bran cereal has more fiber than both oat cereal and corn cereal.
Correct Option: A
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.
- 1. Mara runs faster than Gail.
2. Lily runs faster than Mara.
3. Gail runs faster than Lily.
If the first two statements are true, the third statement is
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We know from the first two statements that Lily runs fastest.
Correct Option: B
We know from the first two statements that Lily runs fastest. Therefore, the third statement must be false.