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Reasoning Aptitude > Logical Reasoning

LOGICAL DEDUCTION : LOGICAL REASONING MCQs

Logical Problems

Total Questions : 121 | Page 12 of 13 pages
Question 111. Danielle has been visiting friends in Ridge-wood for the past two weeks. She is leaving tomorrow morning and her flight is very early. Most of her friends live fairly close to the airport. Madison lives ten miles away. Frances lives five miles away, Samantha, seven miles. Alexis is farther away than Frances, but closer than Samantha. Approximately how far away from the airport is Alexis?
  1.    nine miles
  2.    seven miles
  3.    eight miles
  4.    six miles
 Discuss Question
Answer: Option D. -> six miles
Alexis is farther away than Frances, who is five miles away, and closer than Samantha, who is seven miles away.
Question 112. 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.
  1.    true
  2.    false
  3.    uncertain
 Discuss Question
Answer: Option B. -> false
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.
Question 113. 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.
  1.    true
  2.    false
  3.    uncertain
 Discuss Question
Answer: Option C. -> uncertain
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.
Question 114. 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.
  1.    true
  2.    false
  3.    uncertain
 Discuss Question
Answer: Option B. -> false
Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.
Question 115. 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.
  1.    true
  2.    false
  3.    uncertain
 Discuss Question
Answer: Option B. -> false
Spot is bigger than King, and Ralph is bigger than Spot. Therefore, King must be smaller than Ralph.
Question 116. 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 117. Fact 1: All drink mixes are beverages.
Fact 2: All beverages are drinkable.
Fact 3: Some beverages are red.
If the first three statements are facts, which of the following statements must also be a fact?
I: Some drink mixes are red.
II: All beverages are drink mixes.
III: All red drink mixes are drinkable.
  1.    I and II only
  2.    II only
  3.    I and III only
  4.    III only
  5.    None of the statements is a known fact.
 Discuss Question
Answer: Option D. -> III only
Drink mixes may or may not be red, so option I is not a fact. All drink mixes are beverages but beverages can also be other than drink mixes, option II is also not a fact. Because all drink mixes are beverages and all beverages are drinkable, therefore all red drink mixes will be drinkable. Option III is a fact.
Question 118. Fact 1: Most stuffed toys are stuffed with beans.
Fact 2: There are stuffed bears and stuffed tigers.
Fact 3: Some chairs are stuffed with beans.
If the first three statements are facts, which of the following statements must also be a fact?
I: Only children's chairs are stuffed with beans.
II: All stuffed tigers are stuffed with beans.
III: Stuffed monkeys are not stuffed with beans.
  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.
None of the three statements is supported by the known facts.
Question 119. 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.
  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.
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.
Question 120. Fact 1: Eyeglass frames cost between $35 and $350.
Fact 2: Some eyeglass frames are made of titanium.
Fact 3: Some eyeglass frames are made of plastic.
If the first three statements are facts, which of the following statements must also be a fact?
I: Titanium eyeglass frames cost more than plastic frames.
II: Expensive eyeglass frames last longer than cheap frames.
III: Only a few eyeglass frames cost less than $35.
  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 no information in the facts to support statements I or II. Statement III is clearly wrong because, according to Fact 1, no frames cost less than $35.

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