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The number that should be divided by $− 438$ to obtain $− 312$ is:

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34

54

74

94

answer is A.

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Detailed Solution

Given a rational number

− 438

.
Converting

− 438

to general form,

= − 35 8

Converting

− 312

to general form,

= − 7 2

Now let the required number = x.
According to the question,

− 35 8 ÷ x = − 7 2 − 35 8 x = − 7 2 x = − 35 × 2 8 × − 7 x = 54

The number is

54

.
Hence, option 2 is correct.

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