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Unformatted text preview: Practice Chapter 3 Test Use the information below to answer questions 1—4.
Let m = I am studying mathematics. p 2 I have a passing grade. it = I understand logic. 1. Write in symbolic form “I am not studying mathematics and I understand logic.” a)~u—>p b)~mAu c)p—>~u d)m/\~p 2. Write in symbolic form “If I do not understand logic, then I have a passing grade.” a)~u—>p b)~mAu c)p—>~u d)m/\~p 3. Write the following in words: m v ~ p. a) If I understand logic, then I have a passing grade. b) 1 am studying mathematics and I do not have a passing grade.
c) If I have a passing grade, then I understand logic. (:1) I am studying mathematics or I do not have a passing grade. 4. Write the following in words: p —> u. a) If I understand logic, then I have a passing grade. b) I am studying mathematics and I do not have a passing grade.
c) If I have a passing grade, then I understand logic. d) I am studying mathematics or I do not have a passing grade. 5. Negate “I will go to the party and I will not breakdance.”
a) I will not breakdance and I will go to the party.
b) I will not breakdance or I,wil1 go to the party.
c) If I will not go to the party, then I will breakdance.
d) I will not go to the party or I will breakdance. 6. Write the negation of “All lions are ﬁerce.” a) Some lions are not ﬁerce. b) No lions are ﬁerce. 0) Some lions are ﬁerce. d) There are ﬁerce beasts
7. Write the negation of “Some clowns are funny.” a) No clowns are funny. b) All clowns are funny.
0) Some clowns are not funny. d) As funny as a clown. 8. Negate “If Ivan gets into an accident, then his car insurance will rise.” a) If his car insurance will not rise, then Ivan does not get into an accident. b) Ivan gets into an accident, and his car insurance will not rise. 0) If Ivan does not get into an accident, then his car insurance will not rise. d) Ivan does not get into an accident, or his car insurance will not rise. Use truth tables to answer questions 9 and 10. 9. Is ~ g m) ~ p a tautology? a) sometimes b) maybe 0) no 10. Is (p v q) w> ~p a tautology? a) sometimes b) maybe 0) no ll. Statethe validity of4 —1x3 or3 x 5 =15. a) sometimes true b) sometimes false 0) false 12. State the validity ofIfS + 5 = 25, then 5 x 5 = 25. a) sometimes true b) sometimes false 0) false Use the statement below to answer questions 13~15.
“If Jack went up the hill, then Jill fetched a pail of water.”
13. Write the converse of the statement. a) If Jill fetched a pail of water, then Jack went up the hill. b) Jack did not go up the hill and Jiil did not fetch a pail of water. c) If J ill did not fetch a pail of water, then Jack did not go up the hill.
d) If Jack did not go up the hill, then Jill did not fetch a pail of water. 14. Write the inverse of the statement. a) If Jill fetched a pail of water, then Jack went up the hill. b) Jack did not go up the hill and Jill did not fetch a pail of water. c) If Jill did not fetch a pail of water, then Jack did not go up the hill.
(1) If Jack did not go up the hill, then Jill did not fetch a pail of water. d) yes d) yes d) true (1) true l5. Write the contrapositive of the statement.
a) If Jill fetched a pail of water, then Jack went up the hill.
b) Jack did not go up the hill and Jill did not fetch a pail of water.
0) If Jill did not fetch a pail of water, then Jack did not go up the hill.
d) If Jack did not go up the hill, then Jill did not fetch a pail of water.
.16. Let p be “I will sell it” and let q be “It is a stock”. Translate the following statement into symbolic form. I will sell it if and only if it is not a stock EDP—V“?
b)p<—>~q
C)Q‘<—>~P
(DIN—N?
Lb 2.a 3.d 4.c S.d 6.6. 7. a 8. b 9. c 10. c 11.d 12.d 13. a 14. d 15. c 16. b ...
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 Summer '09
 Dr.Kornya
 Math

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