A rational number is such that when you multiply it by 52 and add 23 to the product, you get −712. What is the number?

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-12

-112

-56

answer is A.

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Detailed Solution

Concept- In contrast to irrational numbers, which cannot be stated as fractions, rational numbers can be expressed as the ratio of two integers with the condition that the denominator not be zero. Irrational numbers don't have ending or recurring decimals, but rational numbers do.
suppose, the rational number is pq, first we multiply and add the rational number both side
Given, pq52=5p2p
The sum of 23 and the product of rational number and 52 is-712
5p2q+23= -712
5p×3+2×2q2q×3 = -712
15p+4q6= -712
215p+4q= -7 q
30p+8q=-7q
30p=-7q-8q
30p=-15q
pq=-1530
pq= -12
Hence, the correct option is 1) -12

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