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Arts (English Medium) इयत्ता ११ - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

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Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Check the validity of the statements:
r: 100 is a multiple of 4 and 5.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Check the validity of the statements:
s: 60 is a multiple of 3 or 5.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following is a statement?

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

The negation of the statement “It is raining and weather is cold.” is ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

A triangle has three sides.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

0 is a complex number.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

Sky is red.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

Every set is an infinite set.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

15 + 8 > 23

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

y + 9 = 7.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

Where is your bag?

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

Every square is a rectangle.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined
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