TEST BANK
|
,MULTIPLE |CHOICE. | Choose |the |one |alternative |that |best |completes |the |statement |or |answers |the |question.
Determine |whether |the |following |is |a |statement. |If |it |is, |then |also |classify |the |statement |as |true |or |false.
1) Why |don't |you |come |here?
A) Not |a |statement B) |False |statement C) |True
|statement |Answer: | A
2) This |room |is |big.
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | B
3) 5 |- |1 |= |4
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | A
4) 7x |+ | y | = |3
A) False |statement B) |True |statement C) |Not |a
|statement |Answer: | C
5) Can |you |bring |the |book?
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | B
6) x |+ | y |= |x |- | y, |where | y |= |0
A) False |statement B) |True |statement C) |Not |a
|statement |Answer: | B
7) 12 |= |3y
A) Not |a |statement B) |False |statement C) |True
|statement |Answer: | A
8) 2.4 | = |5.2
A) False |statement B) |Not |a |statement C) |True
|statement |Answer: | A
9) The |state |of |California | is |in |North |America.
A) Not |a |statement B) |False |statement C) |True
|statement |Answer: | C
10) Brazil | is |in |Asia.
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | C
Use |a |quantifier |to |make |the |following |true |or |false, |as |indicated, |where |x |is |a |natural |number.
11) x |+ |x |= |6 | (make |true)
A) There |is |no |natural |number |x |such |that |x |+ |x |= |6.
B) For |all |natural |numbers |x, |x |+ |x |= |6.
C) There |exists |a |natural |number |x |such |that |x |+ |x |= |6.
D) For |every |natural |number |x, |x |+ |x |= |6.
Answer:
|C
, 12) x3 |= |8 | | (make | true)
A) No |natural |number |x |exists |such |that |x3 | = |8.
B) Every |natural | number |x |satisfies |x3 | = |8.
C) There |exists |a |natural |number |x |such |that |x3 |= |8.
D) Three |natural |numbers |x |exist |such |that |x3 |=
|8. |Answer: | C
13) 2x |+ |1 |= |5 |- |x | (make |true)
A) No |natural |number |x |exists |such |that |2x |+ |1 | = |5 | - |x.
B) There |exists |a |natural | number |x |such |that |2x |+ |1 | = |5 |- |x.
C) Only |two |natural |numbers |x |exist |such |that |2x | + |1 |= |5 |- |x.
D) For |every |natural |number |x, |2x |+ |1 |= |5 |-
| x. |Answer: | B
14) 12x |= |5x | + |7x | (make |false)
A) For |every |natural | number |x, |12x | = |5x |+ |7x.
B) There |is |no |natural |number |x |such |that |12x |= |5x |+ |7x.
C) More |than |one |natural |number |x |exists |such |that | 12x |= |5x |+ |7x.
D) There |exists |a |natural |number |x |such |that |12x |= |5x |+
|7x. |Answer: | B
15) x |- |13 |= |13 |- |x | (make |false)
A) For |x |= |13, |x |- | 13 | = |13 |- | x.
B) There | exists | a | natural | number |x | such |that |x | - |13 |= |13 |- |x.
C) At |least |one |natural | number |x | exists |such |that |x | - |13 |= |13 |- |x.
D) There |is |no |natural |number |x |such |that |x |- |13 |= |13
- x. |Answer: |D
| |
16) 4x | = |7x | | (make | false)
A) There |is |no |natural |number | x | such |that |4x |= |7x.
B) For |every | natural | number |x, |4x | = |7x.
C) No |natural |number |x |satisfies |4x |=
| 7x. |Answer: | B
Write |the |statement |indicated.
17) Write |the |negation |of |the
|following: |The |test |is |difficult.
A) The |test |is |not |difficult. B) | The |test |is |not |very |easy.
C) |The |test |is |very |difficult. D) |The |test |is |not
|easy. |Answer: | A
18) Write |the |negation |of |the
|following: |8 |+ |2 |= |10
A) 8 | + |2 | = |12 B) | 8 | + |2 |= |2 |+ |8
C) |The |sum |of |8 |and |2 |is |ten. D) |8 |+ |2 |≠ |10
Answer:
|D
, SHORT |ANSWER. | Write |the |word |or |phrase |that |best |completes |each |statement |or |answers |the |question.
Provide |an |appropriate | response.
19) Negate |the |following: |The |store |is |sometimes |open |on
Sunday. |Answer: | The |store |is |never |open |on |Sunday.
|
MULTIPLE |CHOICE. | Choose |the |one |alternative |that |best |completes |the |statement |or |answers |the
question. |Construct |a |truth |table |for |the |statement.
|
20) ~p |∧ |~s
A) p s (~p | ∧ | ~s) B) | p | | s | (~p |∧ | ~s) C) |p s (~p | ∧ | ~s) D) | p | | s | (~p |∧ | ~s)
T T T T T F T T F T T F
T F F T F F T F F T F T
F T F F T F F T F F T T
F F T F F F F F T F F T
Answer: | C
21) s |∨ |~(r |∧ | p)
A) |s r p s |∨ |~(r |∧ | p) B) | s r p s |∨ |~(r |∧ | p)
T T T T T T T T
T T F T T T F T
T F T T T F T T
T F F T T F F T
F T T F F T T F
F T F T F T F T
F F T T F F T T
F F F F F F F T
Answer: B
22) (p |∧ | ~q) | ∧ | t
A) |p q t (p |∧ | ~q) | ∧ B) | p q t (p |∧ | ~q) | ∧ | t
T T T F T T T F
T T F F T T F F
T F T F T F T T
T F F F T F F F
F T T F F T T F
F T F T F T F F
F F T T F F T F
F F F T F F F F
Answer: | B
|
,MULTIPLE |CHOICE. | Choose |the |one |alternative |that |best |completes |the |statement |or |answers |the |question.
Determine |whether |the |following |is |a |statement. |If |it |is, |then |also |classify |the |statement |as |true |or |false.
1) Why |don't |you |come |here?
A) Not |a |statement B) |False |statement C) |True
|statement |Answer: | A
2) This |room |is |big.
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | B
3) 5 |- |1 |= |4
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | A
4) 7x |+ | y | = |3
A) False |statement B) |True |statement C) |Not |a
|statement |Answer: | C
5) Can |you |bring |the |book?
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | B
6) x |+ | y |= |x |- | y, |where | y |= |0
A) False |statement B) |True |statement C) |Not |a
|statement |Answer: | B
7) 12 |= |3y
A) Not |a |statement B) |False |statement C) |True
|statement |Answer: | A
8) 2.4 | = |5.2
A) False |statement B) |Not |a |statement C) |True
|statement |Answer: | A
9) The |state |of |California | is |in |North |America.
A) Not |a |statement B) |False |statement C) |True
|statement |Answer: | C
10) Brazil | is |in |Asia.
A) True |statement B) |Not |a |statement C) |False
|statement |Answer: | C
Use |a |quantifier |to |make |the |following |true |or |false, |as |indicated, |where |x |is |a |natural |number.
11) x |+ |x |= |6 | (make |true)
A) There |is |no |natural |number |x |such |that |x |+ |x |= |6.
B) For |all |natural |numbers |x, |x |+ |x |= |6.
C) There |exists |a |natural |number |x |such |that |x |+ |x |= |6.
D) For |every |natural |number |x, |x |+ |x |= |6.
Answer:
|C
, 12) x3 |= |8 | | (make | true)
A) No |natural |number |x |exists |such |that |x3 | = |8.
B) Every |natural | number |x |satisfies |x3 | = |8.
C) There |exists |a |natural |number |x |such |that |x3 |= |8.
D) Three |natural |numbers |x |exist |such |that |x3 |=
|8. |Answer: | C
13) 2x |+ |1 |= |5 |- |x | (make |true)
A) No |natural |number |x |exists |such |that |2x |+ |1 | = |5 | - |x.
B) There |exists |a |natural | number |x |such |that |2x |+ |1 | = |5 |- |x.
C) Only |two |natural |numbers |x |exist |such |that |2x | + |1 |= |5 |- |x.
D) For |every |natural |number |x, |2x |+ |1 |= |5 |-
| x. |Answer: | B
14) 12x |= |5x | + |7x | (make |false)
A) For |every |natural | number |x, |12x | = |5x |+ |7x.
B) There |is |no |natural |number |x |such |that |12x |= |5x |+ |7x.
C) More |than |one |natural |number |x |exists |such |that | 12x |= |5x |+ |7x.
D) There |exists |a |natural |number |x |such |that |12x |= |5x |+
|7x. |Answer: | B
15) x |- |13 |= |13 |- |x | (make |false)
A) For |x |= |13, |x |- | 13 | = |13 |- | x.
B) There | exists | a | natural | number |x | such |that |x | - |13 |= |13 |- |x.
C) At |least |one |natural | number |x | exists |such |that |x | - |13 |= |13 |- |x.
D) There |is |no |natural |number |x |such |that |x |- |13 |= |13
- x. |Answer: |D
| |
16) 4x | = |7x | | (make | false)
A) There |is |no |natural |number | x | such |that |4x |= |7x.
B) For |every | natural | number |x, |4x | = |7x.
C) No |natural |number |x |satisfies |4x |=
| 7x. |Answer: | B
Write |the |statement |indicated.
17) Write |the |negation |of |the
|following: |The |test |is |difficult.
A) The |test |is |not |difficult. B) | The |test |is |not |very |easy.
C) |The |test |is |very |difficult. D) |The |test |is |not
|easy. |Answer: | A
18) Write |the |negation |of |the
|following: |8 |+ |2 |= |10
A) 8 | + |2 | = |12 B) | 8 | + |2 |= |2 |+ |8
C) |The |sum |of |8 |and |2 |is |ten. D) |8 |+ |2 |≠ |10
Answer:
|D
, SHORT |ANSWER. | Write |the |word |or |phrase |that |best |completes |each |statement |or |answers |the |question.
Provide |an |appropriate | response.
19) Negate |the |following: |The |store |is |sometimes |open |on
Sunday. |Answer: | The |store |is |never |open |on |Sunday.
|
MULTIPLE |CHOICE. | Choose |the |one |alternative |that |best |completes |the |statement |or |answers |the
question. |Construct |a |truth |table |for |the |statement.
|
20) ~p |∧ |~s
A) p s (~p | ∧ | ~s) B) | p | | s | (~p |∧ | ~s) C) |p s (~p | ∧ | ~s) D) | p | | s | (~p |∧ | ~s)
T T T T T F T T F T T F
T F F T F F T F F T F T
F T F F T F F T F F T T
F F T F F F F F T F F T
Answer: | C
21) s |∨ |~(r |∧ | p)
A) |s r p s |∨ |~(r |∧ | p) B) | s r p s |∨ |~(r |∧ | p)
T T T T T T T T
T T F T T T F T
T F T T T F T T
T F F T T F F T
F T T F F T T F
F T F T F T F T
F F T T F F T T
F F F F F F F T
Answer: B
22) (p |∧ | ~q) | ∧ | t
A) |p q t (p |∧ | ~q) | ∧ B) | p q t (p |∧ | ~q) | ∧ | t
T T T F T T T F
T T F F T T F F
T F T F T F T T
T F F F T F F F
F T T F F T T F
F T F T F T F F
F F T T F F T F
F F F T F F F F
Answer: | B
