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

  • 2) The statement "x > 5 or x < 3" is true if x equals

  •   1
  •   5
  •   8
  •   3

  • 3) What is the truth value of "4 is even and 8 is odd."?

  •   True
  •   False
  •   Cannot be determined
  •   24

  • 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
  •   Both 1 and 2 could be used
  •   x + x = 2x
  •   2x - x = 2x

  • 5) The inverse of the converse of a conditional statement is the _______________.

  •   None of these
  •   Converse
  •   Contra positive
  •   Inverse

  • 6) If Susan does not like spinach, what is the truth value of the statement "Susan likes ice cream and she like spinach."?

  •   False
  •   None of these
  •   Susan like pizza
  •   True

  • 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

  • 8) It has two pairs of opposite sides parallel. Which of the following make this open sentence true?

  •   Parallelogram
  •   Circle
  •   Rhombus
  •   Trapezoid

  • 9) Consider the sentence: x < 5 Which of the following integers makes this open sentence true?

  •   7
  •   4
  •   9
  •   None of the these

  • 10) If Deb and Sam go to the mall, then it is snowing. Which statement below is logically equivalent?

  •   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 not snowing, then Deb and Sam do not go to the mall
  •   If it is snowing, then Deb and Sam go to the mall

  • 11) What is a mathematically acceptable statement?

  •   If it is either true or false but not both
  •   If it is true
  •   If it is false
  •   None of these

  • 12) What kind of sentences are not statements?

  •   Assertive
  •   Exclamation
  •   Conjunction
  •   Interrogation

  • 13) Check whether the sentence " 6 is less than 2 " is an

  •   None of these
  •   Negative statement
  •   Not an statement
  •   Statement

  • 14) Check whether the sentence " The moon is a natural satellite of the earth " is an

  •   Statement
  •   Not an statement
  •   None of these
  •   Negative statement

  • 15) Whether the sentence " Mathematics is interesting " is

  •   If it is false
  •   None of these
  •   Not an statement
  •   If it is either true or false but not both

  • 16) Check whether the sentence " How far is Delhi from here? " is an

  •   If it is true
  •   If it is either true or false but not both
  •   None of these
  •   Not an statement

  • 17) Check whether the sentence " There are 32 days in a month " is an

  •   Statement
  •   None of these
  •   If it is false
  •   If it is either true or false but not both

  • 18) Check whether the sentence " The sum of 3 & 8 is greater than 11 " is an

  •   None of these
  •   Statement
  •   If it is either true or false but not both
  •   If it is false

  • 19) Check whether the sentence " Square of a number is an even number " is an

  •   None of these
  •   Not an statement
  •   If it is either true or false but not both
  •   If it is false

  • 20) Check whether the sentence " Today is a sunny day " is an

  •   If it is false
  •   If it is true
  •   Not an statement
  •   None of these

  • 21) What is a mathematically acceptable statement?

  •   Statement
  •   Not an statement
  •   None of these
  •   Negative statement

  • 22) Check whether the sentence " How beautiful the rose is ! " is an

  •   Statement
  •   None of these
  •   Not an statement
  •   Negative statement

  • 23) What is negation of a statement?

  •   None of these
  •   Collapsing of a statement
  •   Denial of a statement
  •   Accepting of a statement

  • 24) Write negation of the statement " Jaipur is a city? "

  •   Jaipur is not a city
  •   None of these
  •   Jaipur is a city
  •   None other than Jaipur is a city

  • 25) Write negation of the statement " Opposite sides of a rectangle have same length? "

  •   Opposite sides of a rectangle do not have same length
  •   None other than Opposite sides of a rectangle have same length
  •   Opposite sides of a rectangle have same length
  •   None of these

  • 26) Write negation of the statement " V a, b Є I,a - b Є I "

  •   None other than V a, b Є I, a - b belong to I
  •   None of these
  •   V a,b Є I,a - b does not belong toI
  •   V a,b Є I,a - b belong toI

  • 27) Write negation of the statement " 6 is irrational? "

  •   Is not rational
  •   Is rational
  •   6 is irrational
  •   6 is not irrational

  • 28) When is a compound statement with connective ‘and’ is true?

  •   None of these
  •   If all its component statements are true
  •   If it is either true or false but not both
  •   If it is false

  • 29) When is a compound statement with connective ‘and’ is false?

  •   If all its component statements are false
  •   If it is either true or false but not both
  •   If it is false
  •   None of these

  • 30) When is a compound statement with connective ‘or’ true?

  •   It is true when one atleast one component statement is true
  •   Both the component statements are true
  •   Both
  •   None of these
Answer Key
Maths
S.No Topic Name Date Online Offline
1 Consumer Math 25-February
2 Trigonometry 24-February
3 Geometry 23-February
4 Algebra 22-February