Example 12 - Chapter 14 Class 11 Mathematical Reasoning

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Example 12 Given below are two pairs of statements. Combine these two statements using if and only if . (i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square. A rectangle is a square if and only if all its four sides are equal. Or All four sides of rectangle are equal if and only if it is a square Example 12 Given below are two pairs of statements. Combine these two statements using if and only if . (ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q: If a number is divisible by 3, then the sum of its digits is divisible by 3. A number is divisible by 3 if and only if the sum of its digits is divisible by 3. Or The sum of digits of a number is divisible by 3 ; if and only if a number is divisible by 3