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  • Rewrite each of the following statements in the form of conditional statements. (i) The square of an odd number is odd

Rewrite each of the following statements in the form of conditional statements
(i) The square of an odd number is odd.
(ii) You will get a sweet dish after the dinner.
(iii) You will fail, if you will not study.
(iv) The unit digit of an integer is 0 or 5 if it is divisible by 5.
(v) The square of a prime number is not prime.
(vi) 2b = a + c, if a, b and c are in A.P.

Answers (1)

(i) The expression in the given conditional statement is- if p, then q.

p: The no. is odd

q: The square of the no. is odd

Thus, “if the no. is odd, then its square is even.

(ii) The expression in the given conditional statement is- if p, then q.

p: Take the dinner

q: you will get sweet dish

Thus, “If you take the dinner, then you will get sweet dish.”

(iii) The expression in the given conditional statement is- if p, then q.

p: You do not study

q: you will fail

Thus, “If you do not study, you will fail.”

(iv) The expression in the given conditional statement is- if p, then q.

p: An integer is divisible by 5

q: Unit digits of an integer are 0 or 5.

Thus, “If an integer is divisible by 5, then its unit digits are 0.”
(v) The expression in the given conditional statement is- if p, then q.

p: Any no. is prime

q: square of no. is not prime

Thus, “If any no. is prime, then its square is not prime.”

(vi) The expression in the given conditional statement is- if p, then q.

p: a, b & c are in AP

q: 2b = a + c

Thus, “If a, b & c are in AP, then 2b = a + c.”

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