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The number that should be added to $− 3 8$ to get $512$ is:

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1925

1924

1923

1927

answer is B.

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Detailed Solution

Given a rational number

− 3 8

.
Let the number that is to be added = a,
According to the question,

− 3 8 + a = 512 a = 512 + 38

L.C.M of 12 and 8 = 96.
Now taking L.C.M of the denominator,

a = 5 × 8 + 12 × 3 8 × 12

a = 40 + 36 96 a = 7696 a = 1924

The number is

1924

.
Hence, option 2 is correct.

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