Q. 75.0( 1 Vote )

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.

Answer :

(i) In the conditional statement, expression is

If p, then q


Now,


The given statement p and q are


p: The number is odd.


q: The square of odd number is odd.


Therefore,


“If the number is odd, then its square is odd number.


(ii) In the conditional statement, expression is


If p, then q


Now,


The given statement p and q are


p: Take the dinner


q: you will get sweet dish


Therefore,


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


(iii) In the conditional statement, expression is


If p, then q


Now,


The given statement p and q are


p: You do not study


q: you will fail.


Therefore,


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


(iv) In the conditional statement, expression is


If p, then q


Now,


In the given statement p and q are


p: An integer is divisible by 5


q: Unit digits of an integer are 0 or 5


Therefore,


“If an integer is divisible by 5, then its unit digits are 0 or 5.


(v) In the conditional statement, expression is


If p, then q


Now,


The given statement p and q are


p: Any number is prime,


q: square of number is not prime.


Therefore,


“If any number is prime, then its square is not prime”.


(vi) In the conditional statement, expression is


If p, then q


Now,


The given statement p and q are


p: a, b and c are in AP


q: 2b=a + c


Therefore,


“If a, b, c are in AP then 2b=a + c.


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