This Article consist of most important questions of ” Logical Problems ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.
Question : 1
Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.
If the first three statements are facts, which of the following statements must also be a fact?
I: All caps have brims.
II: Some baseball caps are blue.
III: Baseball caps have no brims.
A. I only
B. II only
C. II and III only
D. None of the statements is a known fact
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Correct Answer : D
Explanation :
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III, but it doesn’t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
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Question : 2
Fact 1: All chickens are birds.
Fact 2: Some chickens are hens.
Fact 3: Female birds lay eggs.
If the first three statements are facts, which of the following statements must also be a fact?
I: All birds lay eggs.
II: Some Hens are birds.
III: Some chickens are not hens.
A. I only
B. II only
C. II and III only
D. None of the statements is a known fact
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Correct Answer : C
Explanation :
The first statement cannot be true because only female birds lay eggs. Statement II is true
because some hens are chickens and all chickens are birds. Statement III is also true because if only some chickens are hens, then some must not be hens.
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Question : 3
Fact 1: Jessica has four children
Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
Fact 3: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?
I: At least one girl has blue eyes.
II: Two of the children are boys.
III: The boys have brown eyes.
A. I only
B. II only
C. II and III only
D. None of the statements is a known fact
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Correct Answer : B
Explanation :
Since one-half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes.
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Question : 4
Fact 1: All dogs like to run.
Fact 2: Some dogs like to swim.
Fact 3: Some dogs look like their masters.
If the first three statements are facts, which of the following statements must also be a fact?
I: All dogs who like to swim look like their masters.
II: Dogs who like to swim also like to run.
III: Dogs who like to run do not look like their masters.
A. I only
B. II only
C. II and III only
D. None of the statements is a known fact
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Correct Answer : B
Explanation :
Statement II is the only true statement. Since all dogs like to run, then the ones who like to swim also like to run. There is no support for statement I or statement III.
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