Simplification - Quantitative Aptitude (MCQ) questions for Q. 74

Q.  Given: b2 = ac and ax=by=cz.

Determine the value of y.

- Published on 12 Jun 15

a. xz/(x+z)
b. xz/2(z-x)
c. 2xz/(x+z)
d. xz/2(x-z)

ANSWER: 2xz/(x+z)
 

    Discussion

  • MD SARFARAJ ALAM   -Posted on 12 Aug 20
    a^x=b^x=c^x=k(assume)
    using log
    a=e^((logk)/x)
    b=e^((logk)/y)
    c=e^((logk)/z)
    given b^2=ac(now here putting value of a,b,c)then taking again log both side and we got (2/y)=(1/x)+(1/z)
    solving above equation we got y=2xz/(x+z)

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