Mathematical Reasoning
1) Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?
- Today is Sunday and Matt cannot play hockey
- Today is not Sunday if and only if Matt plays hockey
- If Matt plays hockey, then today is not Sunday
- Today is Sunday and Matt can play hockey
Answer: If Matt plays hockey, then today is not Sunday
2) The statement "x > 5 or x < 3" is true if x equals
- 1
- 8
- 3
- 5
Answer: 1
3) What is the truth value of "4 is even and 8 is odd."?
- 24
- Cannot be determined
- True
- False
Answer: False
4) The sentence " ____ if and only if x + x = 3x" is TRUE. Which of the following could be used to fill in the blank?
- Neither 1 nor 2 could be used
- x + x = 2x
- Both 1 and 2 could be used
- 2x - x = 2x
Answer: x + x = 2x
5) The inverse of the converse of a conditional statement is the _______________.
- None of these
- Inverse
- Converse
- Contra positive
Answer: Contra positive
6) If Susan does not like spinach, what is the truth value of the statement "Susan likes ice cream and she like spinach."?
- Susan like pizza
- False
- None of these
- True
Answer: False
7) Which of the following is an open sentence?
- 5(20) + 3 = 113
- A trapezoid is a four-sided polygon
- Albany is a city in New York State
- It was blue with white stripes
Answer: It was blue with white stripes
8) It has two pairs of opposite sides parallel. Which of the following make this open sentence true?
- Parallelogram
- Rhombus
- Trapezoid
- Circle
Answer: Parallelogram
9) Consider the sentence: x < 5 Which of the following integers makes this open sentence true?
- 7
- 4
- 9
- None of the these
Answer: 4
10) If Deb and Sam go to the mall, then it is snowing. Which statement below is logically equivalent?
- If it is not snowing, then Deb and Sam do not go to the mall
- If Deb and Sam do not go to the mall, them it is snowing
- If Deb and Sam do not go to the mall, then it is not snowing
- If it is snowing, then Deb and Sam go to the mall
Answer: If it is not snowing, then Deb and Sam do not go to the mall
11) What is a mathematically acceptable statement?
- If it is either true or false but not both
- If it is false
- If it is true
- None of these
Answer: If it is either true or false but not both
12) What kind of sentences are not statements?
- Conjunction
- Exclamation
- Interrogation
- Assertive
Answer: Exclamation
13) Check whether the sentence " 6 is less than 2 " is an
- Not an statement
- None of these
- Negative statement
- Statement
Answer: Statement
14) Check whether the sentence " The moon is a natural satellite of the earth " is an
- Not an statement
- None of these
- Statement
- Negative statement
Answer: Statement
15) Whether the sentence " Mathematics is interesting " is
- Not an statement
- None of these
- If it is either true or false but not both
- If it is false
Answer: Not an statement
16) Check whether the sentence " How far is Delhi from here? " is an
- If it is true
- Not an statement
- If it is either true or false but not both
- None of these
Answer: Not an statement
17) Check whether the sentence " There are 32 days in a month " is an
- Statement
- If it is either true or false but not both
- None of these
- If it is false
Answer: Statement
18) Check whether the sentence " The sum of 3 & 8 is greater than 11 " is an
- Statement
- If it is either true or false but not both
- None of these
- If it is false
Answer: Statement
19) Check whether the sentence " Square of a number is an even number " is an
- If it is false
- None of these
- Not an statement
- If it is either true or false but not both
Answer: Not an statement
20) Check whether the sentence " Today is a sunny day " is an
- None of these
- Not an statement
- If it is true
- If it is false
Answer: Not an statement
21) What is a mathematically acceptable statement?
- Not an statement
- Negative statement
- Statement
- None of these
Answer: Statement
22) Check whether the sentence " How beautiful the rose is ! " is an
- Not an statement
- Statement
- Negative statement
- None of these
Answer: Not an statement
23) What is negation of a statement?
- Denial of a statement
- Collapsing of a statement
- Accepting of a statement
- None of these
Answer: Denial of a statement
24) Write negation of the statement " Jaipur is a city? "
- None other than Jaipur is a city
- Jaipur is not a city
- Jaipur is a city
- None of these
Answer: Jaipur is not a city
25) Write negation of the statement " Opposite sides of a rectangle have same length? "
- None of these
- None other than Opposite sides of a rectangle have same length
- Opposite sides of a rectangle have same length
- Opposite sides of a rectangle do not have same length
Answer: Opposite sides of a rectangle do not have same length
26) Write negation of the statement " V a, b Є I,a - b Є I "
- None of these
- V a,b Є I,a - b does not belong toI
- V a,b Є I,a - b belong toI
- None other than V a, b Є I, a - b belong to I
Answer: V a,b Є I,a - b does not belong toI
27) Write negation of the statement " 6 is irrational? "
- Is not rational
- 6 is not irrational
- 6 is irrational
- Is rational
Answer: 6 is not irrational
28) When is a compound statement with connective ‘and’ is true?
- If it is either true or false but not both
- If all its component statements are true
- None of these
- If it is false
Answer: If all its component statements are true
29) When is a compound statement with connective ‘and’ is false?
- If it is either true or false but not both
- None of these
- If all its component statements are false
- If it is false
Answer: If all its component statements are false
30) When is a compound statement with connective ‘or’ true?
- Both the component statements are true
- It is true when one atleast one component statement is true
- None of these
- Both
Answer: Both