Logic and Reasoning Questions and Answers
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Q321
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.
Answer: Option C
Explanation: If Mary always tells the truth, then both Ann
and Mary have cats (statements I and II), and
Ann is lying (statement III).
Q322
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.
Answer: Option 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.
Q323
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?
Answer: Option D
Explanation: 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.
Q324
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?
Answer: Option B
Explanation: 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).
Q325
Four friends in the sixth grade were sharing a
pizza. They decided that the oldest friend
would get the extra piece. Randy is two
months older than Greg, who is three
months younger than Ned. Kent is one
month older than Greg. Who should get the
extra piece of pizza?
Answer: Option C
Explanation: If Randy is two months older than Greg, then
Ned is three months older than Greg and one
month older than Randy. Kent is younger than
both Randy and Ned. Ned is the oldest.
Q326
A four-person crew from Classic Colors is
painting Mr. Field’s house. Michael is painting
the front of the house. Ross is in the alley
behind the house painting the back. Jed is
painting the window frames on the north
side, Shawn is on the south. If Michael
switches places with Jed, and Jed then
switches places with Shawn, where is Shawn?
Answer: Option C
Explanation: After all the switches were made, Shawn is in
front of the house. Ross is in the alley behind
the house,Michael is on the north side, and Jed
is on the south.
Q327
In a four-day period-Monday through
Thursday-each of the following temporary
office workers worked only one day, each a
different day. Ms. Johnson was scheduled to
work on Monday, but she traded with Mr.
Carter, who was originally scheduled to work
on Wednesday. Ms. Falk traded with Mr.
Kirk, who was originally scheduled to work
on Thursday. After all the switching was
done, who worked on Tuesday?
Answer: Option D
Explanation: After all the switches were made, Mr. Kirk
worked on Tuesday. Mr. Carter worked on
Monday, Ms. Johnson on Wednesday, and Ms.
Falk on Thursday.
Q328
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?
Answer: Option A
Explanation: 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.
Q329
Four people witnessed a mugging. Each gave
a different description of the mugger. Which
description is probably right?
Answer: Option B
Explanation: Tall, thin, and middle-aged are the elements of the description repeated most often and are
therefore the most likely to be accurate.
Q330
As they prepare for the state championships,
one gymnast must be moved from the Level 2
team to the Level 1 team. The coaches will
move the gymnast who has won the biggest
prize and who has the most experience. In
the last competition, Roberta won a bronze
medal and has competed seven times before.
Jamie has won a silver medal and has competed
fewer times than Roberta. Beth has
won a higher medal than Jamie and has competed
more times than Roberta. Michele has
won a bronze medal, and it is her third time
competing. Who will be moved to the Level 1
team?
Answer: Option B
Explanation: Beth won the biggest prize, described as a
higher medal than Jamie’s, which we’ve been
told was a silver medal. Roberta and Michele
both won bronze medals, which are lower ranking
medals than silver. Beth is also described as
having competed more times than Roberta—
who has competed seven times. Jamie is
described as having competed fewer times than
Roberta, and Michele has competed three
times. Therefore, Beth has competed more
times than the others and has won the biggest
prize to date.