Question

If a, b, c are integers and a > b, then

(I) (a $÷$ c) > (b $÷$ c), if c is positive

(II) (a $÷$ c) < (b $÷$ c), if c is negative

• A. Both the statements are correct
• B. Statement (I) is correct and statement (II) is incorrect
• C. Statement (I) is incorrect and statement (II) is correct
• D. Both the statements are incorrect

Answer 1

The correct option is A

Both the statements are correct

Let us take an example such that a > b.

Let a = 15, b = 10 and c = 5.

(I) When c is positive:
(15 $÷$ 5) > (10 $÷$ 5)
(II) When c is negative:
(15 $÷$ (-5)) < (10 $÷$ (-5))

$\therefore$ If a, b, c are integers and a > b, then

(I) (a $÷$ c) > (b $÷$ c), if c is positive

(II) (a $÷$ c) < (b $÷$ c), if c is negative