If x = 101.4, y = 100.7,  and xz = y3, then what is the value of z?

A 0.5

B 0.66

C 1.5

D 2

Solution

Correct Answer: Option C

xz = y3
 ⇒ (101.4)z = (100.7)3
⇒ 101.4z = 102.1
⇒ 1.4z = 2.1
⇒ z = 2.1/1.4
⇒ z = 21/14
∴ z = 1.5

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