If a- b- c are integers and a-b- thenI a - c-b - c- if c is positiveII a - c-b - c- if c is negativeA- Statement I is correct and statement II is incorrectB- Both the statements are correctC- Both the statements are incorrectD- Statement I is incorrect and statement II is correct

The correct option is B Both the statements are correct Let nbsp;us take an example such that a gt; b. Let a = 15, b = 10 and c = 5. nbsp; (I) When c ...

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Byju's Answer

Standard VII

Mathematics

Rules for Division of Integers

If a, b, c ar...

Question

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

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

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

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

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

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Both the statements are correct

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Both the statements are incorrect

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Solution

The correct option is C
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 $\div$ 5) > (10 $\div$ 5)
(II) When c is negative:
(15 $\div$ (-5)) < (10 $\div$ (-5))

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

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

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

Suggest Corrections

Similar questions

If a, b, c are integers, then (a $\div$ b) $\div$ c = a $\div$ (b $\div$ c)

Q. property of integers under division states that (

a \div b)

\div c

\neq

a \div (b \div c)

where a, b and c are integers.

Q. If

a, b

and

c

are positive integers, then

\frac{a + c}{b + c}

Q. If

a \geq b

, then

a + c \geq b + c

where

a, b & c

are integers.

Q. If

a, b, c

are integers with

c > 0

the prove

[\frac{2 a}{c}] + [\frac{2 b + 1}{c}] \geq [\frac{a}{c}] + [\frac{b}{c}] + [\frac{a + b + 1}{c}]

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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

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

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

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