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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

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B

Statement (I) is correct and statement (II) is incorrect

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C

Statement (I) is incorrect and statement (II) is correct

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D

Both the statements are incorrect

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Solution

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))

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


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