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Q.

Find the multiplicative inverse of

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a

b

c

d

113, 1913, 5615

answer is A.

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Detailed Solution

Concept- Finding the number's reciprocal, or flipping the numerator and denominator, reveals the multiplicative inverse.
Given Data,
Multiplicative inverse of

− 13, − 13 19, − 5 8 × − 3 7

A multiplicative inverse or reciprocal for a number x, denoted by

1 x o r x − 1

, is a number which when multiplied by x yields the multiplicative identity, 1. Positive value of 1 only.
Multiplicative inverse of -13
Let the multiplicative inverse be x
According to the definition,

x (− 13) = 1 x = − 1 13

Multiplicative inverse of

− 13 19

Let the multiplicative inverse be x.
According to the definition,

x × − 13 19 = 1 x = − 19 13

Multiplicative inverse of

− 5 8 × − 3 7

i.e. Multiplicative inverse of

1556

Let the multiplicative inverse be x.
According to the definition,

x × 1556 = 1 x = 5615

Hence, the correct answer is 1)

− 1 13, − 19 13, 5615

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