**Question:**

**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.**

**Solution:**

**(i) The square of an odd number is odd.**

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) You will get a sweet dish after the dinner.**

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) You will fail, if you will not study.**

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) The unit digit of an integer is 0 or 5 if it is divisible by 5.**

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) The square of a prime number is not prime.**

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) 2b = a + c, if a, b and c are in A.P.**

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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