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.

(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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