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Review for Test 1 - Quantitative Skills and Reason | MATH 1001, Study notes of Quantitative Techniques

Material Type: Notes; Class: Quantitative Skills & Reason; Subject: Mathematics; University: Gordon College; Term: Fall 2009;

Typology: Study notes

Pre 2010

Uploaded on 12/06/2009

stephanie-gardner
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Math 1001 Stephanie Gardner Review for Test 1 (1A, 1B, 1C, 1D, 1E)
(1A)
1) Which of the following best describes an argument based on the idea that since one event came before another, that the first
event caused the second event?
(a) Appeal to ignorance (b) False cause (c) Straw man (d) Appeal to popularity
2) Which of the following describes a conclusion which is drawn from an inadequate number of cases or causes that have not been
sufficiently analyzed?
(a) Limited choice (b) Diversion (red herring) (c) Hasty generalization (d) Circular reasoning
3) A television commercial shows two people who fall in love while wearing a certain brand of blue jeans. This is an example of
which of the following fallacies?
(a) Hasty generalization (b) Appeal to ignorance (c) Limited choice (d) Appeal to emotion
4) After getting new dishes, I started to sneeze. I must be allergic to the new dishes. This argument is an example of which of the
following fallacies?
(a) Hasty generalization (b) False cause (c) Personal attack (ad hominem) (d) Circular reasoning
5) Which argument is an appeal to ignorance?
(a) Since Paul is not at work, he must be at the hardware store.
(b) Four eye doctors in town all recommend Kleer contact lenses. Therefore, all eye doctors recommend Kleer contact lenses.
(c) We have never been able to communicate with beings from another planet. Therefore, the Earth is the only planet with
intelligent life.
(d) Buy this stereo system – it’s the most popular brand!
(1B)
6) Which of the following is not a proposition?
(a) Jeremy has green eyes. (b) What color are your eyes? (c) My eyes are not brown. (d) 15 – 12 = 18.
7) Which of the following is logically equivalent to its conditional?
(a) Inverse (b) Contrapositive (c) Negation (d) Converse
8) Emily has brown eyes. Which of the following is the negation of this proposition?
(a) Jason has brown eyes. (b) Emily has green eyes.
(c) Emily does not have brown eyes. (d) Emily does not have green eyes.
9) You are searching for the book Little Women by Louisa May Alcott. Which of the following key word search combinations
would not have your book on its search list?
(a) (Little and Women) and Alcott (b) Women and (Alcott and Bronte)
(c) (Little or Women) and (Alcott or Bronte) (d) (Little and Women) or (Alcott and Bronte)
10) Which statement is logically equivalent to if p, then q?
(a) p and (not q) (b) (not p) and q (c) (not p) or q (d) p or (not q)
(1C)
11) Which of the following sets are not disjoint?
(a) Reptiles & mammals (b) Cats & dogs (c) Men & women (d) Words & verbs
12) Which of the following sets would be represented by a circle drawn inside another circle on a Venn diagram?
(a) Doctors & women (b) negative numbers & integers (c) Dogs & mammals (d) Lawyers & men
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Math 1001 Stephanie Gardner Review for Test 1 (1A, 1B, 1C, 1D, 1E)

(1A)

  1. Which of the following best describes an argument based on the idea that since one event came before another, that the first event caused the second event? (a) Appeal to ignorance (b) False cause (c) Straw man (d) Appeal to popularity
  2. Which of the following describes a conclusion which is drawn from an inadequate number of cases or causes that have not been sufficiently analyzed? (a) Limited choice (b) Diversion (red herring) (c) Hasty generalization (d) Circular reasoning
  3. A television commercial shows two people who fall in love while wearing a certain brand of blue jeans. This is an example of which of the following fallacies? (a) Hasty generalization (b) Appeal to ignorance (c) Limited choice (d) Appeal to emotion
  4. After getting new dishes, I started to sneeze. I must be allergic to the new dishes. This argument is an example of which of the following fallacies? (a) Hasty generalization (b) False cause (c) Personal attack (ad hominem) (d) Circular reasoning
  5. Which argument is an appeal to ignorance? (a) Since Paul is not at work, he must be at the hardware store. (b) Four eye doctors in town all recommend Kleer contact lenses. Therefore, all eye doctors recommend Kleer contact lenses. (c) We have never been able to communicate with beings from another planet. Therefore, the Earth is the only planet with intelligent life. (d) Buy this stereo system – it’s the most popular brand! (1B)
  6. Which of the following is not a proposition? (a) Jeremy has green eyes. (b) What color are your eyes? (c) My eyes are not brown. (d) 15 – 12 = 18.
  7. Which of the following is logically equivalent to its conditional? (a) Inverse (b) Contrapositive (c) Negation (d) Converse
  8. Emily has brown eyes. Which of the following is the negation of this proposition? (a) Jason has brown eyes. (b) Emily has green eyes. (c) Emily does not have brown eyes. (d) Emily does not have green eyes.
  9. You are searching for the book Little Women by Louisa May Alcott. Which of the following key word search combinations would not have your book on its search list? (a) (Little and Women) and Alcott (b) Women and (Alcott and Bronte) (c) (Little or Women) and (Alcott or Bronte) (d) (Little and Women) or (Alcott and Bronte)
  10. Which statement is logically equivalent to if p, then q? (a) p and (not q) (b) (not p) and q (c) (not p) or q (d) p or (not q) (1C)
  11. Which of the following sets are not disjoint? (a) Reptiles & mammals (b) Cats & dogs (c) Men & women (d) Words & verbs
  12. Which of the following sets would be represented by a circle drawn inside another circle on a Venn diagram? (a) Doctors & women (b) negative numbers & integers (c) Dogs & mammals (d) Lawyers & men
  1. In a Venn diagram, overlapping circles indicate: (a) Sets that potentially share common members (b) Disjoint sets (c) Sets of numbers (d) Subsets Use the following Venn diagram, which describes the desserts people ordered at a party, to answer questions 14 & 15. Desserts Ice cream Cake 21 15 9 7
  2. How many people ordered ice cream? 15) How many people ordered cake and ice cream? (a) 7 (b) 9 (c) 21 (d) 36 (a) 9 (b) 15 (c) 24 (d) 36 (1D)
  3. Which of the following is a valid argument? (a) Bank robbers are in jail. (b) Some criminals go to jail. (c) All burglars are in jail. (d) Some bank robbers are in jail. Extortionists are in jail. Burglars go to jail. Ernie is a burglar. Burt is a bank robber. Burglars are in jail. Burglars are criminals. Ernie is in jail. Burt is in jail. All criminals are in jail.
  4. If dinosaurs live in trees, then dinosaurs eat berries. Dinosaurs do not live in trees. Dinosaurs do not eat berries. This invalid argument is an example of which of the following? (a) Affirming the hypothesis (b) Denying the hypothesis (c) Affirming the conclusion (d) Denying the conclusion
  5. If you were not born yesterday, then you are not a baby. Alana is a baby. Alana was born yesterday. If Alana is a 3 week old baby, which of the following describes this argument? (a) Valid and sound (b) Valid and not sound (c) Not valid and sound (d) Not valid and not sound
  6. Premise: All U.S. Presidents have been men. Premise: George Washington was a man. Conclusion: George Washington was a U.S. President. This invalid argument is an example of which of the following? (a) Affirming the hypothesis (b) Denying the hypothesis (c) Affirming the conclusion (d) Denying the conclusion
  7. Premise: If an animal is a horse, then it is a mammal. Premise: Clydesdales are horses. Conclusion; Clydesdales are mammals. Which of the following describes this argument? (a) Valid and sound (b) Valid and not sound (c) Not valid and sound (d) Not valid and not sound (1E) Bonus) We should not vote for the incumbent because he has already been in office for three consecutive terms. Which of the following is not a possible hidden assumption for this argument? (a) We should never vote for an incumbent. (b) The incumbent has already been in office three terms. (c) Four terms is too many. (d) We should vote for the underdog.