Home
Class 11
MATHS
For the statement ''19 is real number or...

For the statement ''19 is real number or a positive integer", "Or" is

A

(a) inclusive

B

(b) exclusive

C

(c) both (a) and (b)

D

(d) none of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether "or" in the statement "19 is a real number or a positive integer" is inclusive or exclusive, we can follow these steps: ### Step 1: Understand the Definitions - **Inclusive Or**: This means that at least one of the statements must be true, and both can be true at the same time. - **Exclusive Or**: This means that only one of the statements can be true, but not both. **Hint**: Remember that inclusive or allows for both conditions to be satisfied simultaneously. ### Step 2: Analyze the Statement The statement is "19 is a real number or a positive integer." We need to analyze the two parts: 1. "19 is a real number." 2. "19 is a positive integer." **Hint**: Identify the nature of the number 19 in relation to both conditions. ### Step 3: Determine the Truth of Each Part - **Is 19 a real number?** Yes, 19 is a real number. - **Is 19 a positive integer?** Yes, 19 is also a positive integer. **Hint**: Check if the number satisfies both conditions. ### Step 4: Apply the Definitions Since 19 satisfies both conditions (it is both a real number and a positive integer), we can conclude that the "or" in this statement allows for both conditions to be true. **Hint**: If both parts of the statement can be true at the same time, it indicates an inclusive or. ### Step 5: Conclusion Based on the analysis, we conclude that the "or" in the statement "19 is a real number or a positive integer" is an **inclusive or**. **Final Answer**: The correct option is **A: inclusive**. ---
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER-2

    ICSE|Exercise Section-C|10 Videos

  • MODEL TEST PAPER-2

    ICSE|Exercise Section-C|10 Videos

  • MODEL TEST PAPER-19

    ICSE|Exercise SECTION - C |10 Videos

  • MODEL TEST PAPER-6

    ICSE|Exercise SECTION - C|10 Videos

Similar Questions

Explore conceptually related problems

The average of thrice the cube of a number and twice the square of the same number equals eight times the same number . Given that the number is a positive integer, what is the number?

Negation of the statement "Every natural number is an integer".

Find the number of odd positive three digit integers.

If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is (1) an irrational number (2) an odd positive integer (3) an even positive integer (4) a rational number other than positive integers

If x,y are positive real numbers and m, n are positive integers, then prove that (x^(n) y^(m))/((1 + x^(2n))(1 + y^(2m))) le (1)/(4)

If x and y are positive real numbers and m, n are any positive integers, then prove that (x^n y^m)/((1+x^(2n))(1+y^(2m))) lt 1/4

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

Consider the following statement: The set of real numbers is an infinite set. Is it a simple statement?

Which of the following statements are true? (i) The sum of a number and its opposite is zero. (ii) The sum of two negative integers is a positive integer. (iii) The sum of a negative integer and a positive integer is always a negative integer. (iv) The successor of -1\ i s\ 1. (v) The sum of three different integers can never be zero.

Write the negation of the following statements. r : All natural number are integers.