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LOGICAL DEDUCTION : LOGICAL REASONING MCQs

Logical Problems

Total Questions : 121 | Page 11 of 13 pages
Question 101. 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.
  1.    true
  2.    false
  3.    uncertain
 Discuss Question
Answer: Option C. -> uncertain
We know only that long-tailed Gangles have spots. We cannot know for certain if long-tailed Gangles also have short hair.
Question 102. Fact 1: Mary said, "Ann and I both have cats."
Fact 2: Ann said, "I don't have a cat."
Fact 3: Mary always tells the truth, but Ann sometimes lies.
If the first three statements are facts, which of the following statements must also be a fact?
I: Ann has a cat.
II: Mary has a cat.
III: Ann is lying.
  1.    I only
  2.    II only
  3.    I and II only
  4.    All the statements are facts.
 Discuss Question
Answer: Option D. -> All the statements are facts.
If Mary always tells the truth, then both Ann and Mary have cats (statements I and II), and Ann is lying (statement III). So all the statements are facts.
Question 103. Fact 1: Robert has four vehicles.
Fact 2: Two of the vehicles are red.
Fact 3: One of the vehicles is a minivan.
If the first three statements are facts, which of the following statements must also be a fact?
I: Robert has a red minivan.
II: Robert has three cars.
III: Robert's favorite color is red.
  1.    I only
  2.    II only
  3.    II and III only
  4.    None of the statements is a known fact.
 Discuss Question
Answer: Option D. -> None of the statements is a known fact.
There is not enough information to support any of the statements. Robert is known to have a minvan, but it is not known which of his vehicles is red. Robert may have a pickup or sport utility vehicle, so the second statement cannot be supported. There is no way to know if Robert's favorite color is red (statement III).
Question 104. Fact 1: Islands are surrounded by water.
Fact 2: Maui is an island.
Fact 3: Maui was formed by a volcano.
If the first three statements are facts, which of the following statements must also be a fact?
I: Maui is surrounded by water.
II: All islands are formed by volcanoes.
III: All volcanoes are on islands.
  1.    I only
  2.    II only
  3.    II and III only
  4.    None of the statements is a known fact.
 Discuss Question
Answer: Option A. -> I only
Since Maui is an island and islands are surrounded by water,Maui must be surrounded by water. There is not enough information to support statements II and III.
Question 105. Fact 1: Pictures can tell a story.
Fact 2: All storybooks have pictures.
Fact 3: Some storybooks have words.
If the first three statements are facts, which of the following statements must also be a fact?
I: Pictures can tell a story better than words can.
II: The stories in storybooks are very simple.
III: Some storybooks have both words and pictures.
  1.    I only
  2.    II only
  3.    III only
  4.    None of the statements is a known fact.
 Discuss Question
Answer: Option C. -> III only
Statements I and II are not supported by the facts. Statement III is true because if all story-books have pictures and only some have words, then some storybooks have both words and pictures.
Question 106. Fact 1: Some pens don't write.
Fact 2: All blue pens write.
Fact 3: Some writing utensils are pens.
If the first three statements are facts, which of the following statements must also be a fact?
I: Some writing utensils don't write.
II: Some writing utensils are blue.
III: Some blue writing utensils don't write.
  1.    I only
  2.    I and II only
  3.    II and III only
  4.    None of the statements is a known fact.
 Discuss Question
Answer: Option B. -> I and II only
Since some pens don't write, some writing utensils don't write (statement I). Since there are blue pens and since pens are writing utensils, some writing utensils are blue (statement II). There is not enough information to support statement III.
Question 107. The high school math department needs to appoint a new chairperson, which will be based on seniority. Ms. West has less seniority than Mr. Temple, but more than Ms. Brody. Mr. Rhodes has more seniority than Ms. West, but less than Mr. Temple. Mr. Temple doesn't want the job. Who will be the new math department chairperson?
  1.    Mr. Rhodes
  2.    Mr. Temple
  3.    Ms.West
  4.    Ms. Brody
 Discuss Question
Answer: Option A. -> Mr. Rhodes
Mr. Temple has the most seniority, but he does not want the job. Next in line is Mr. Rhodes, who has more seniority than Ms. West or Ms. Brody.
Question 108. Children are in pursuit of a dog whose leash has broken. James is directly behind the dog. Ruby is behind James. Rachel is behind Ruby. Max is ahead of the dog walking down the street in the opposite direction. As the children and dog pass, Max turns around and joins the pursuit. He runs in behind Ruby. James runs faster and is alongside the dog on the left. Ruby runs faster and is alongside the dog on the right. Which child is directly behind the dog?
  1.    James
  2.    Ruby
  3.    Rachel
  4.    Max
 Discuss Question
Answer: Option D. -> Max
After all the switches were made,Max is directly behind the dog, James is alongside the dog on the left, Ruby is alongside the dog on the right, and Rachel is behind Max.
Question 109. Nurse Kemp has worked more night shifts in a row than Nurse Rogers, who has worked five. Nurse Miller has worked fifteen night shifts in a row, more than Nurses Kemp and Rogers combined. Nurse Calvin has worked eight night shifts in a row, less than Nurse Kemp. How many night shifts in a row has Nurse Kemp worked?
  1.    eight
  2.    nine
  3.    ten
  4.    eleven
 Discuss Question
Answer: Option B. -> nine
Nurse Kemp has worked more shifts in a row than Nurse Calvin; therefore, Kemp has worked more than eight shifts. The number of Kemp's shifts plus the number of Rogers's shifts (five) cannot equal fifteen or more, the number of Miller's shifts. Therefore, Kemp has worked nine shifts in a row (5 + 9 = 14).
Question 110. Nurse Kemp has worked more night shifts in a row than Nurse Rogers, who has worked five. Nurse Miller has worked fifteen night shifts in a row, more than Nurses Kemp and Rogers combined. Nurse Calvin has worked eight night shifts in a row, less than Nurse Kemp. How many night shifts in a row has Nurse Kemp worked?
  1.    eight
  2.    nine
  3.    ten
  4.    eleven
 Discuss Question
Answer: Option B. -> nine
Nurse Kemp has worked more shifts in a row than Nurse Calvin; therefore, Kemp has worked more than eight shifts. The number of Kemp's shifts plus the number of Rogers's shifts (five) cannot equal fifteen or more, the number of Miller's shifts. Therefore, Kemp has worked nine shifts in a row (5 + 9 = 14).

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