Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

Which of the following is an example for the
statement?
You would do better on this quiz if you understood this lecture.
a.  Understanding the lecture but receiving a 10% on the
quiz  d.  Understanding the lecture and achieving a perfect score on the
quiz  b.  I didn't understand the lecture and got 20% on the
quiz  e.  None  c.  Not understanding the
lecture and receiving a 0 on the quiz 


2.

Which of the following numbers is a counterexample to this
statement?
All prime numbers are odd.


3.

Provide a counterexample for the proposition:
All
numbers are either prime or composite.


4.

The number 22 is a counterexample for which of the following
conditional statements?
a.  All numbers devisible by 2 are even  d.  Product of two prime numbers are even.  b.  All numbers devisible by 2 are also divisible by 4  e.  None  c.  All multiples of 2 are
even. 


5.

Which of the following numbers is a counterexample to this
statement?
If a number is composite, then it ends with 2,4,6,8 or 0.
a.  02  d.  10020  b.  04  e.  None  c.  42 


6.

Which of the following numbers is a counterexample to this
statement?
The sum of two prime numbers is even.
a.  7+31  d.  233+3  b.  5+51  e.  2+233  c.  13+3  f.  None 


7.

Which of the following numbers is a counterexample to this
statement?
if


8.

Which of the following is a counterexample to this
statement?
is odd for all if q is an
integer.


9.

Which of the following is a counterexample to this
statement?
for all the integer values of y
.


10.

Which of the following is a counterexample to this
statement?
for all the integer values of x
.


11.

Which of the following is a counterexample to this
statement?
is always composite for all the integer
values of y except for 1.


12.

Which of the following is a counterexample to this
statement?
is always composite for all the integer
values of q except for 1.


13.

Which of the following is a counterexample to this
statement?
if . x always is greater than
p.


14.

Which of the following is a counterexample to this
statement?
If a fraction of a numerator is a multiple 2, then the fraction can be simplified.


15.

Which of the following is a counterexample to this
statement?
If a man's work requires him to use a camera, he is a
photographer.
a.  A doctor who does not use a camera to do his
job.  d.  When working, an engineer uses his camera to take a
selfie.  b.  A photograper who uses his camera regularly to do his
work.  e.  None  c.  A web designer who uploads
images of his company's products using a camera. 


16.

Which of the following is a counterexample to this
statement?
An individual who sprints every day is preparing for a race.
a.  Jenny who sprints every day is training for the 15k
Marathon.  d.  Kate can not sprint due to her
injuries.  b.  James who sprints every day is training for Mr world
contest.  e.  None  c.  Drake who does not sprint
evry day just completed a 25K Marathon. 


17.

Which of the following is a counterexample to this
statement?
If a food is red, it is a fruit.
a.  An Apple  d.  A
tomato  b.  Spinach  e.  None  c.  A
strawberry 


18.

Which of the following is a counterexample to this
statement?
If y is an odd prime, then y + 2 is also a prime.


19.

If y is a prime numbe, which of the following must be
true
a.  is odd  d.  y is divisible
by 5  b.  is not divisible by
4  e.  None  c.  y is not divisible by
2 


20.

If q is a prime number less than or equals to 10, then is prime.How many counterexamples are there to the above claim?


21.

If y is a prime number less than or equals to 15, then is prime.How many counterexamples are there to the above claim?


22.

Draw a conclusion from the given statements using the Law
of Detachment
If Paul gets a 89% or above on the Science final, then Paul will pass
Science. Paul gets a 91% on the Science final.
a.  Paul will Pass Science  c.  A valid
conclusion can not be reached.  b.  Paul will not pass
Science  d.  None of the given 


23.

Draw a conclusion from the given statements using the Law
of Detachment
If Pandy washed the dishes today, then Penny must wash the dishes tomorrow.
Pandy washed the dishes tonight.
a.  Pandy must wash the dishes tomorrow  c.  A valid conclusion can not be reached.  b.  Penny must wash the dishes tomorrow.  d.  None of the
given 


24.

Determine whether the stated conclusion is
valid.
If an animal is a rat, then they like cheese. Paul has a pet named sammy. Sammy is a
rat. Conclusion: Paul likes biscuits.
a.  Valid  d.  Sammy is not a
rat  b.  Invalid  e.  None of the
given  c.  A valid conclusion can not be
reached. 


25.

Determine whether the stated conclusion is
valid.
If an integer is even, then its square is divisible by 4. I am thinking of
a 8 digit number. The number I am thinking ends with 8.
a.  Then it's not odd.  d.  Then its square
is divisible by 4  b.  Then it's a whole
number.  e.  None of the given  c.  A valid conclusion can not
be reached. 


26.

Determine whether the stated conclusion is
valid.
If the book's binding is torn, the student will have to pay for a new one.
Since Eric must pay for a new book. Hence,he claims that the binding on his book is torn. Is he
right?
a.  Yes  d.  Not
sure  b.  No  e.  None of the
given  c.  A valid conclusion can not be
reached. 


27.

Which law of logic is this:
If Sally buy a dress,
then she will eat healthy. Sally bought a dress. Therefore,Sally will eat
healthy.
a.  Law of Syllogism  d.  Law of
Biconditional  b.  Law of
Contrapositive  e.  None of the given  c.  Law of
Detachment 


28.

Which law of logic is this:
pq qr
Which law is modeled?
a.  Law of Syllogism  d.  Law of
Biconditional  b.  Law of
Contrapositive  e.  None of the given  c.  Law of
Detachment 


29.

Which law of logic is this:
pq p
Which law is
modeled?
a.  Law of Syllogism  d.  Law of
Biconditional  b.  Law of
Contrapositive  e.  None of the given  c.  Law of
Detachment 


30.

Which law of reasoning is this:
If a
triangle is equilateral, then all three sides are congruent. If all the sides of a triangle are
congruent, then all the three exterior angles are congruent.
Therefore, if a triangle is
equilateral, then the exterior angles are congruent.
a.  Law of Syllogism  d.  Law of
Biconditional  b.  Law of
Contrapositive  e.  None of the given  c.  Law of
Detachment 


31.

Determine whether the stated conclusion is
valid.
If a triangle is equilateral, then all three sides are congruent. If all the
sides of a triangle are congruent, then all the three exterior angles are congruent.
Triangle
ABC is equilateral, then the exterior angles triangle ABC are congruent.
a.  Not Valid  d.  Might be
valid  b.  Not Sure  e.  None of the
given  c.  Valid 


32.

Use the law of syllogism to draw a conclusion from the
two given statements:
Statement 1: If you consistently workout, you have a good
body. Statement 2: If you have a good body, you would have more energy.
a.  You have more energy  d.  If you exercise
consistently, then you would have more energy  b.  You have a good
body  e.  None of the given  c.  If you do not have a good
body, then you do not exercise consistently 


33.

Use the Law of Detachment to draw a conclusion from the
two given
Statement 1: if James prep for one hour a day, then James would do better on
the test . Statement 2: James is confident that he can do well on the
test.
a.  James prep for 1 hour each day.  c.  If James do well on the exam,James studied for 1 hour each
day.  b.  James do not prep for 1 hour each day.  d.  A valid conclusion can not
be reached. 


34.

Using the Law of Syllogism, which of the following
completes the statement to form a valid conclusion?
If it begins to snow heavily, school will
be suspended. if school is suspended, the biology test will not be given today.
It began to
snow heavily, therefore ________________.
a.  look out for the snowplows while driving to
school.  c.  the biology test will not be given
today.  b.  the roads will be hard to drive on.  d.  The school might be
cancelled today. 


35.

Using the Law of Syllogism, which of the following
completes the statement to form a valid conclusion?
If it begins to snow heavily, school will
be suspended. if school is suspended, the biology test will not be given today.
It began to
snow heavily, therefore ________________.
a.  look out for the snowplows while driving to
school.  c.  the biology test will not be given
today.  b.  the roads will be hard to drive on.  d.  The school might be
cancelled today. 


36.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
Some dogs are poodles. Poodles
are cool. Some dogs are cool.
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


37.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
All sherbet is ice
cream. Sherbet is orange. Conclusion: All ice cream is orange.
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


38.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
All pencils are
gray. No pens are gray.
Conclusion: No pen is gray
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


39.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
All Lions are brown. No
pig is a Lion. Conclusion: No pigs are brown.
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


40.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
All toys from that store
are from China. These toys are from that store. Conclusion: Some of these toys are
from China.
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


41.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
If Bond dress sloppy, Bond
will not look smart. If Bond don’t look smart, Bond will loose confident.
Conclusion: If Bond dress sloppy, Bond will loose confident.
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


42.

Using the Law of Syllogism, determine whether the stated
conclusion is valid.
Some People are more than
6 feet tall. Some people who are more than 6ft tall like basketball. All basketball fans also
love football. Conclusion: Some people who are more than 6ft tall are football
fans.
a.  Valid  c.  might be
valid.  b.  Not valid  d.  None of the
given 


43.

Assume that all mils are hils, some hils are jils, and
some tils are rils. Therefore it makes sense that:
a.  all mils are jils  d.  some jils are
hils  b.  all hils are mils  e.  some mils are
hils  c.  all tils are hils 


44.

Assume that some huys are knis, all jiks are suds, and
some aws are huys. Therefore it makes sense that:
a.  some knis may also be aws  d.  some suds are
knis  b.  all huys are knis  e.  all huys are
knos  c.  all jiks are huys 
