Mathematical Reasoning
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Preview questions (no answers)
- 1.
The component statements of 'It is raining and it is cold' are:
A.p: It is raining; q: It is cold
B.p: It is raining; q: It is not cold
C.p: It is not raining; q: It is cold
D.p: It is raining or cold; q: none
- 2.
Truth value of the statement: 'A rectangle is a quadrilateral.'
A.True
B.False
C.Sometimes
D.Undefined
- 3.
Negation of the statement: 'Some real numbers are not complex numbers.'
A.All real numbers are complex numbers.
B.Some real numbers are complex numbers.
C.No real number is a complex number.
D.All real numbers are not complex numbers.
Download the worksheet for Mathematical Reasoning - Statements to practice offline. It includes additional chapter-level practice questions.
New Statements from Old (Negation, Compound Statements)
SubtopicNew Statements from Old (Negation, Compound Statements) under Mathematical Reasoning for Grade 11 CBSE.
Preview questions (no answers)
- 1.
Connective in: " is a prime number and is a composite number."
A.Prime
B.Composite
C.And
D.Is
- 2.
Negation of "Every rectangle is a quadrilateral":
A.Some rectangles are not quadrilaterals
B.No rectangle is a quadrilateral
C.All quadrilaterals are rectangles
D.It is false that all rectangles are not quadrilaterals
- 3.
Components of: "Input is high or output is low."
A.p: Input is high; q: Output is low
B.p: Input is low; q: Output is high
C.p: Input; q: Output
D.p: High; q: Low
Download the worksheet for Mathematical Reasoning - New Statements from Old (Negation, Compound Statements) to practice offline. It includes additional chapter-level practice questions.
Special Words/Phrases (And/Or, Quantifiers)
SubtopicSpecial Words/Phrases (And/Or, Quantifiers) under Mathematical Reasoning for Grade 11 CBSE.
Preview questions (no answers)
- 1.
Truth value of: '( is a prime number) or ( is an odd number)' is:
A.True
B.False
C.Both
D.None
- 2.
Which of the following phrases represents the symbol ?
A.There exists
B.For all
C.Such that
D.If and only if
- 3.
Determine the truth value of: '() and ()'.
A.True
B.False
C.Invalid
D.Infinite
Download the worksheet for Mathematical Reasoning - Special Words/Phrases (And/Or, Quantifiers) to practice offline. It includes additional chapter-level practice questions.
Implications (If-then, If and only if)
SubtopicImplications (If-then, If and only if) under Mathematical Reasoning for Grade 11 CBSE.
Preview questions (no answers)
- 1.
Which of the following is the contrapositive of 'If you are happy, then I am happy'?
A.If I am happy, then you are happy.
B.If you are not happy, then I am not happy.
C.If I am not happy, then you are not happy.
D.If I am happy, then you are not happy.
- 2.
In the statement , is called the _________ condition for .
A.Necessary
B.Sufficient
C.Necessary and Sufficient
D.Contradictory
- 3.
The inverse of 'If is divisible by 10, then is divisible by 5' is:
A.If is not divisible by 10, then is not divisible by 5.
B.If is divisible by 5, then is divisible by 10.
C.If is not divisible by 5, then is not divisible by 10.
D.If is divisible by 10, then is not divisible by 5.
Download the worksheet for Mathematical Reasoning - Implications (If-then, If and only if) to practice offline. It includes additional chapter-level practice questions.
Validating Statements
SubtopicValidating Statements under Mathematical Reasoning for Grade 11 CBSE.
Preview questions (no answers)
- 1.
Which of these is a counter-example to 'The sum of any two prime numbers is even'?
A.3 and 5
B.5 and 7
C.2 and 3
D.7 and 11
- 2.
The negation of 'Some students are lazy' is:
A.No students are lazy.
B.All students are lazy.
C.Some students are not lazy.
D.Most students are lazy.
- 3.
The contrapositive of 'If , then ' is:
A.If , then .
B.If , then .
C.If , then .
D.If , then .
Download the worksheet for Mathematical Reasoning - Validating Statements to practice offline. It includes additional chapter-level practice questions.