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Test: Mathematical Statements - JEE MCQ


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10 Questions MCQ Test Chapter-wise Tests for JEE Main & Advanced - Test: Mathematical Statements

Test: Mathematical Statements for JEE 2024 is part of Chapter-wise Tests for JEE Main & Advanced preparation. The Test: Mathematical Statements questions and answers have been prepared according to the JEE exam syllabus.The Test: Mathematical Statements MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Mathematical Statements below.
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Test: Mathematical Statements - Question 1

A statement which is made up of two or more statements is called ……

Detailed Solution for Test: Mathematical Statements - Question 1
A compound statement formed by joining two or more statements with the word or. hypothesis. In a conditional statement, the statement that immediately follows the word if. if-then statement. A compound statement of the form "if A, then B" where A and B are statements.
Test: Mathematical Statements - Question 2

The connecting word used in the compound statement “Cube of an integer is positive or negative” is:

Detailed Solution for Test: Mathematical Statements - Question 2

Cube of an integer is +ve or -ve.
p: Cube of an integer is +ve
q: Cube of an integer is -ve

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Test: Mathematical Statements - Question 3

Write the compound statement of the following component statements:
p: A rectangle is a quadrilateral.
q: The opposite sides of a rectangle are equal.

Detailed Solution for Test: Mathematical Statements - Question 3

p: A rectangle is a quadrilateral.
q: The opposite sides of a rectangle are equal.
Compound statement using connecting word: ‘and’
A rectangle is a quadrilateral and its opposite sides are equal.

Test: Mathematical Statements - Question 4

A compound statement with an ‘Or’ is false when both the component statements are ……

Detailed Solution for Test: Mathematical Statements - Question 4

 Rules regarding the use of connective “Or”
If all of the component statements connected by the connective and is false then the entire statement is false.

Test: Mathematical Statements - Question 5

A sentence is called a mathematically accepted statement if

Detailed Solution for Test: Mathematical Statements - Question 5

In mathematical reasoning, a statement is called a mathematically acceptable statement if it is either true or false but not both. In addition, each of these statements is termed to be a compound statement. Furthermore, the compound statements are combined by the word “and” (^) the resulting statement is called conjunction denoted as a ^ b.

Test: Mathematical Statements - Question 6

The quantifier used in the statement “For every real number x, x is less than x + 5” is:

Detailed Solution for Test: Mathematical Statements - Question 6

Quantifier is “For Every”
Negotiation of statement is : There exist a real number x such that x is not less than x+5

Test: Mathematical Statements - Question 7

There are 25 days in a month. This is

Detailed Solution for Test: Mathematical Statements - Question 7

Since there are 28 or 30 or 31 days in a month
Its a false statement
Hence it is a statement.

Test: Mathematical Statements - Question 8

The negation of the statement “p: For every real number x, x3 > x2.” is:

Detailed Solution for Test: Mathematical Statements - Question 8

Negation of p :
There exists a real number x such that x3 < x2.

Test: Mathematical Statements - Question 9

The component statements ‘p’ and ‘q’ of the given compound statement ‘All integers are either even or odd.; are

Detailed Solution for Test: Mathematical Statements - Question 9

Component statements of ‘All integers are either even or odd’ are:
P: All integers are even
Q: All integers are odd

Test: Mathematical Statements - Question 10

Which of the following is not a statement?

Detailed Solution for Test: Mathematical Statements - Question 10

Mathematics is difficult for some but not for other.
Hence this statement can be true or false.
So it is not a statement.

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