Home
Class 11
MATHS
Rewrite the following statement with “if...

Rewrite the following statement with “if-then” in five different ways conveying the same meaning.
If a natural number is odd, then its square is also odd.

Text Solution

Verified by Experts

The correct Answer is:
(i) A natural number is odd implies that its square is odd.
(ii) A natural number is odd only if its square is odd.
(iii) For a natural number to be odd it is necessary that its square is odd.
(iv) For the square of a natural number to be odd, it is sufficient that the number is odd
(v) If the square of a natural number is not odd, then the natural number is not odd.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.5|10 Videos

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 14|16 Videos

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise EXERCISE 14.3|11 Videos

  • LINEAR INEQUALITIES

    NCERT GUJARATI|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

Write the following statement in five different ways, conveying the same meaning. p: If a triangle is equiangular, then it is an obtuse angled triangle.

Rewrite each of the following statements in the form of conditional statements: The square of a prime number is not prime.

Restate the following statements with appropriate conditioins, so that they become true statements. If a quadrilateral has all its sides equal, then it is a square.

Rewrite each of the following statements in the form of conditional statements: The square of an odd number is odd.

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

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

Examine whether the following statements are true or false : {pi} sub N . Where N is the set of natural number.

The mean of first five odd natural numbers is ...........

Statement whether the following statement are true or false. Give reasons for your answers : (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

Are the following statement true or false? Give reasons for your answers : (i) Every whole number is a natural number. (ii) Every integer is a rational number. ( iii) Every rational number is an integer.

Home
Profile