Session 5 Homework
RQM Tutorial Grade 7 Homework August 12, 2014
logical Reasoning II Practice
1. If Bob takes a math class, then he must also take a
history class. If Bob takes a science class, then he
must also take a history class.
3. If Sandy cooks a turkey, Erin will come over to
Sandy's house. If Leonard makes a pumpkin pie,
then Erin will not come over to Sandy's house.
Based only on the information above, which of the
following MUST be true?
Based only on the above information, which of the
following MUST be true?
A. If Bob takes a history class, then he also takes a
math class.
B. If Bob does not take a history class, then he
does not take a science class.
C. If Bob does not take a science class, then he
does not take a history class.
D. If Bob takes a math class, then he also takes a
science class.
E. If Bob takes a history class, then he also takes a
science class.
A. If Leonard makes a pumpkin pie, then Erin
would like to eat it.
B. If Erin comes over to Sandy's house, then
Sandy cooked a turkey.
C. Erin prefers pumpkin pie to turkey.
D. If Leonard makes a pumpkin pie, Erin will go to
his house.
E. If Leonard makes a pumpkin pie, then Sandy
does not cook a turkey.
CAJ CED (C) CD) <!;)
2. Linda has a large family and would like to purchase
an SUV to make it easier to transport her children
around town. With their large size, SUVs are the
easiest way to transport large groups of people.
However, SUVs get poorer gas mileage than
compact cars, so Linda has purchased a compact car
instead.
Based only on the information above, which of the
following is NOT a valid deduction?
F. Linda cares more about fuel efficiency than she
does about having a more convenient way of
transporting her children.
G. Linda would be more willing to buy an SUV if
they got better mileage than they do currently.
H. It is not as easy to transport many people in a
compact car as it is in an SUV.
J. It is cheaper to buy a compact car than an SUV.
K. More than one factor influenced Linda's
purchase decision.
4. Brianna is planning on going to Myrtle Beach
during her summer vacation. She has decided to go
surfmg and swimming in the ocean, but she will not
be going waterskiing.
Based only on the information above, which of the
following is NOT a valid deduction?
F. Brianna plans to do different activities during
her vacation.
G. Brianna knows how to swim.
H. Brianna has not yet arrived at Myrtle Beach.
J. Brianna will go swimming in the ocean.
K. Brianna enjoys swimming and surfing more
than waterskiing.
5. Karen baked desserts for a charity fund-raiser. She
made 8 pies, 2 cakes, and 2 batches of cookies. She
never baked more than two desserts in any 1 day,
and she never made two of the same dessert in 1
day.
What is the highest number of desserts that Karen
could have made in 5 days?
A.
B.
8
9
10
D. 11
E. 12
c.
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Logical Reasoning II Practice
6. If Alex watches an action movie this week, then he
will watch a comedy next week. If Alex watches an
action movie this week, then he will watch a drama
next week.
Based only on the information above, which of the
following MUST be true?
F. If Alex watches a comedy and a drama next
week, then he must have watched an action
movie this week.
G. If Alex does not watch an action movie this
week, then he will not watch a comedy next
week.
H. If Alex does not watch a comedy next week,
then he does not watch an action movie this
week.
J. If Alex does not watch a comedy next week,
then he does not watch a drama next week.
K. If Alex does not watch an action movie this
week, then he will not watch a drama next
week.
(f:) C~) (H) C)) CKJ
7. Everyone who becomes a doctor must attend
college and must be very interested in the medical
field. George has been in college for 2 years now.
8. Sandy is planning her vacation. She wants to spend
3 days at the beach, 2 days waterskiing, and 2 days
scuba diving. If she can only do 2 activities in 1 day
and wants to spend 1 entire day at the beach, what
is the minimum number of days her vacation must
last?
F. 3
G. 4
H. 5
J. 6
K. 7
9. Ifl go to the grocery store, then I will buy milk.
Based only on the information above, which of the
following MUST be true?
A. Ifl went to the convenience store, then I did not
buy milk.
B. Ifl bought milk, then I must have gone to the
grocery store.
C. Ifl did not go to the grocery store, then I must
not have bought milk.
D. I only buy milk when I go to the grocery store.
E. If I did not buy milk, then I must not have gone
to the grocery store.
CA) \lD CC) CO)(~)
Based only on the information above, which of the
following is a valid conclusion?
A. George must be very interested in the medical
field.
B. George is going to become a doctor.
C. If George becomes a doctor, he must be very
interested in the medical field.
D. If George is interested in the medical field, then
he will become a doctor.
E. If George does not become a doctor, then he
must not like the medical field.
10. If Dr. Peters climbs the volcano, then Dr. Karston
will collect soil samples. If Dr. Leary packs his
trunk, then Dr. Karston will collect soil samples.
Based on the above statements, which of the
following is a valid conclusion?
F. If Dr. Karston does not collect soil samples,
then he is not with Dr. Peters or Dr. Leary.
G. If Dr. Karston does not collect soil samples,
then Dr. Peters did not climb the volcano and
Dr. Leary did not pack his trunk.
H. Dr. Karston collects soil samples when
Dr. Peters is not climbing the volcano.
J. Dr. Peters and Dr. Karston are probably both
geologists.
K. When Dr. Leary does not pack his trunk, then
Dr. Karston will collect soil samples.
CE) (G) CED CJ) CK)
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Session 5 Homework
11. Matilda is scheduling the workshops she will take at
an arts and crafts summer camp. She wants to take
photography, watercolor painting, and jewelry making.
The photography workshop lasts 3 weeks and meets
in the mornings. The watercolor workshop lasts
4 weeks and meets in the afternoons. The jewelry
class meets in the mornings for 1 week and then for
full days for a second week. A new session starts
each week for each type of workshop.
What is the minimum number of weeks in which
Matilda could take all three workshops?
A. 4
B. 5
c. 6
D. 7
E. 8
CA) (1:3) (C) CO) CE)
12. Some of the students in Ethan's math class
have taken algebra. No students who have taken
geometry are in Ethan's math class. Aidan is in
Ethan's math class, but Hailey is not.
Based only on the statements above, all of the
following could be true except:
F.
G.
H.
J.
K.
Aidan has taken algebra but not geometry.
Ethan has not taken algebra or geometry.
Hailey has taken geometry and algebra.
Aidan has taken geometry and algebra.
Hailey has not taken algebra.
(E) (_G) CFO CD Ci:O
13. If Joe buys a pop record, then he will also buy a
rock record. If Joe buys a country record, then he
will also buy a rock record.
Which of the following MUST be true if the above
information is true?
A. If Joe does not buy a country record, then he
will not buy a rock record.
B. If Joe does not buy a rock record, he will not
buy a country record.
C. If Joe buys a country record, he will also buy a
pop record.
D. If Joe does not buy a pop record, then he will
not buy a rock record.
E. If Joe buys a pop record, then he will also buy a
country record.
iA) CED CC) (ti) CE)
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14. Extreme dizziness can be a sign of either
dehydration or overhydration. Dehydration can
be alleviated by drinking water. While running a
marathon in Arizona, Ellena felt extremely dizzy
and had to quit the race.
Based only on the above information, which of the
following is NOT a valid conclusion?
F.
G.
H.
J.
K.
Ellena might need to drink water.
Ellena might be overhydrated.
Running made Ellena dizzy.
.Ellena did not finish the marathon.
Ellena might be dehydrated.
15. All of Eric's teachers speak a second language in
addition to English. Some of his teachers speak
Spanish, and some of them speak French. Mr. Lewis
teaches Eric's algebra class.
Based on the statements above, which of the
following statements MUST be true?
A.
B.
C.
D.
E.
Mr. Lewis speaks French.
Eric speaks French or Spanish.
Mr. Lewis speaks a second language.
Mr. Lewis speaks Spanish.
Eric is bilingual.
16. Some books on a shelf are biographies, and some
are textbooks. None of the books on the shelf are
novels. All of the books on the shelf are hardcover
books. George is reading a book from the shelf.
Mary is reading a paperback book.
Based on the statements above, which of following
statements could be true?
F.
G.
H.
J.
K.
George is reading a novel.
Mary is reading a biography.
George is reading a paperback.
Mary is reading a hardcover textbook.
George is not reading a hardcover book.
CE) (G) CH; ]) 'Kl
Logical Reasoning II Practice
17. If wheat grows in the east field, then the field had
been fertilized.
Based on the above information, which of the
following MUST be true?
A. If the wheat is not growing in the east field,
then the field was fertilized.
B. Crops planted in the east field always need
fertilizer to grow.
C. If the east field had not been fertilized, then
wheat will not grow there.
D. All fertilized fields have wheat planted in them.
E. Wheat needs fertilizer to grow.
18. A man has two mice, three cats, and three dogs. He
wants to put all of his animals in cages. Cats and
dogs cannot be together in a cage. Furthermore, the
cages hold only two animals each.
What is the least number of cages that the man
needs in order to cage all of his animals?
F. three
G. four
H. five
J. six
K. seven
CE) (~) CB) Gl) CK>
19. If Josie helps Hannah with algebra, Hannah will
pass the course. Hannah will fix Josie's car if Josie
helps her with algebra.
Based only on the information above, which of the
following MUST be true?
A. Hannah is a good mechanic.
B. If Hannah does not pass algebra, she will not fix
Josie's car.
C. If Hannah does pass algebra, she will fix Josie's
car.
D. Hannah will fix Josie's car and pass algebra if
Josie helps her with algebra.
E. Josie will help Hannah with algebra if Hannah
fixes Josie's car.
20. Eric is planning a 7 -day resort vacation. He will
play golf on four mornings. He also wants to play
tennis but can only play tennis on days he does
not play croquet. He will play croquet on any day
immediately following a day that he plays golf.
What is the greatest number of days he can play
tennis?
F. 2
G. 3
H. 4
J. 5
K. 6
CE> CID '!i) (J) CK)
21. Ms. Jones's social studies class will watch a video
if Ms. Jones is absent. If her child is sick, Ms. Jones
will be absent.
Based only on the statements above, what MUST
be true?
·
A. If Ms. Jones's social studies class watches a
video, Ms. Jones is absent.
B. Ms. Jones's child is not sick if Ms. Jones's class
is not watching a video.
C. If Ms. Jones is not absent, her class does not
watch a video ..
D. If Ms. Jones is absent, her child is sick.
E. If Ms. Jones's class watches a video today,
Ms. Jones's child is sick.
22. If Mike lifts weights, then Sean will go running. If
Barbara goes to her yoga class, then Sean will go
running.
Based on the above statement, which of the
following is a valid conclusion?
F. If Sean does not go running, then Mike does not
lift weights and Barbara does not go to her yoga
class.
G. If Sean does not go running, then Mike goes to
Barbara's yoga class.
H. If Barbara goes to her yoga class, then Sean will
go running and Mike will lose weight.
J. If Mike does not lift weights, then Barbara will
go to her yoga class.
K. If Sean goes running and Barbara goes to her
yoga class, then Mike will not lift weights.
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Session 5 Homework
23. Tom used to watch TV all day. But then he started
doing poorly in all of his classes. So that he will
have more time to concentrate on his classes, Tom
now watches TV only when a really good show is
on.
Based only on the information above, which of the
following is NOT a valid deduction?
A. Tom cares about how he does in his classes.
B. Watching TV was taking time away from
Tom's classes.
C. Tom is going to pass all of his classes now.
D. Tom feels that watching TV is not more
important than his classes.
E. Tom believes that watching less TV will help
him do better in his classes.
\A) cro CQ) CQ; ci;J
24. If Janey is washing the dishes, then Marie has
cleaned the bathroom.
Based on the above information, which of the
following MUST be true?
F. If Marie has not cleaned the bathroom, then
Janey is not washing the dishes.
G. Marie never wash~s the dishes.
H. If Janey has cleaned the bathroom, then Marie
is washing the dishes.
J. Janey does not wash the dishes when the
kitchen is not clean.
K. If Janey is not washing the dishes, then the
bathroom must be clean.
C'E) C_G) CfD CJ.) CK)
26. If Billy behaves well, then he will get to go to the
zoo.
Based only on the information above, which of the
following MUST be true?
F. If Billy does not get to go to the zoo, then he
must not have behaved well.
G. If Billy does not behave well, then he will not
get to go to the zoo.
H. If Billy does not behave well, then he will get to
go to the zoo.
J. If Billy gets to go to the zoo, then he must have
behaved well.
K. Billy will only go to the zoo if he behaves well.
27. During the time that Gretja was involved with her
high school drama club, she performed in at least
one theater production each semester. She performed
in three musicals, three one-act plays, and two
multiple-act Shakespearean plays. During her second
semester with the drama club, Gretja performed in
only one production, which was a musical. Gretja
never performed in more than two productions each
semester, and she never performed in more than one
production of each type in any given semester.
What is the least number of semesters that Gretja
could have been involved with the drama club?
A. three
B. four
c.
five
D. six
E. seven
® C:§::l (Q) CID CI;)
25. Scott put on his favorite shirt but discovered that
it was much too small. The same shirt fit him
perfectly three weeks ago.
Based only on the information above, which of the
following MUST be true?
A.
B.
C.
D.
E.
Scott has gained weight in the last three weeks.
Scott's shirt has probably shrunk in the wash.
Scott accidentally tried on the wrong shirt.
Scott's favorite shirt no longer fits him.
Scott's shirt never fit him well.
C/{) CB) CC) (Q) (E;)
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Logical Reasoning II Practice
28. Jeff applied and interviewed for a position as
hydrologist. The interviewer told Jeff that all
applicants with master's degrees in hydrology are
scheduled for follow-up interviews. Jeff was not
scheduled for a follow-up interview.
Based only on the above information, which of the
following MUST be true?
F. Jeff was too young for the job.
G. Jeffwas not interested in getting a job as a
hydrologist.
H. Jeff does not have a master's degree in
hydrology.
J. Jeff has never been to college.
K. The interviewer was not hiring at the time of
Jeffs interview.
(E) (G) C8) GD CK>
29. Everyone who attends the summer camp that Lenny
attends plays either baseball or football. Bobby
attends Lenny's summer camp and does not play
baseball. Joey does not attend Lenny's summer
camp.
Based on the above information only, which of the
following is a valid conclusion?
A.
B.
C.
D.
E.
Bobby plays football.
Lenny plays baseball.
Joey does not play baseball or football.
Lenny plays football.
Joey plays either baseball or football.
CA.> CJl> CQJ (Q) C:E:)
30. John has been working out for the past few years,
and his routines have included lifting weights,
running, and bicycling. He has lifted weights for
4 years, has run for 3 years, and has bicycled for
3 years. During the last 2 years, John has only been
lifting weights. John has never included more than
two routines in his workout during the same year.
31. Mikey is 50 pounds overweight and went to his
doctor for help. Mikey's doctor prescribed a diet pill
that is always effective when used correctly. The
doctor also told Mikey that the only requirements
to use the pill correctly were to take the pill every
day and exercise twice every week for six months.
Six months later, Mikey had gained 10 pounds even
though he had taken the pill every day.
Based on the above information, which of the
following is a valid conclusion?
A. Mikey should sue his doctor for malpractice.
B. The diet pill was effective in reducing Mikey's
weight.
C. During the six months, Mikey did not exercise
twice every week.
D. IfMikey takes the diet pill for another six
months, he will lose weight.
E. Mikey' s doctor prescribed the wrong diet pill.
CA.) CID CQJ (Q) C:E)
32. All of the bikes in the shed are red. Some of the
bikes in the garage are blue. All of the bikes locked
to the post are green. Mike's bike is red, and Lynn's
bike is green.
Based only on the statements above, which of the
following MUST be true?
F.
G.
H.
J.
K.
Mike's bike is in the shed.
Lynn's bike is not in the garage.
Mike's bike is not in the garage.
Lynn's bike is locked to the post.
Lynn's bike is not in the shed.
CE) (G) CH) (J:) (iS)
What is the least number of years John could have
been working out?
1.
F. 6
G. 7
H. 8
9
K. 10
J.
(E) (G) C8) CD CK)
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