Logic and Reasoning Questions and Answers
Practice ModeShowing 10 of 334 questions
Q311
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.
Answer: Option A
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.
Q312
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.
Answer: Option 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.
Q313
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. Hens are birds.
III. Some chickens are not hens.
Answer: Option B
Explanation: The first statement cannot be true because only
female birds lay eggs. Statement II is true
because hens are chickens and chickens are
birds. Statement III is also true because if only
some chickens are hens, then some must not
be hens.
Q314
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
Answer: Option D
Explanation: None of the three statements is supported by
the known facts
Q315
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.
Answer: Option C
Explanation: Statements I and II are not supported by the
facts. Statement III is true because if all storybooks
have pictures and only some have words,
then some storybooks have both words and
pictures.
Q316
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.
Answer: Option D
Explanation: 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).
Q317
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.
Answer: Option A
Explanation: 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.
Q318
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.
Answer: Option C
Explanation: If all drink mixes are beverages and some beverages
are red, then some drink mixes are red
(statement I). Since all beverages are drinkable
and all drink mixes are beverages, then all red
drink mixes must be drinkable (statement III).
Statement II can be ruled out.
Q319
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.
Answer: Option D
Explanation: 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.
Q320
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.
Answer: Option B
Explanation: 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.