Quantitative Aptitude – Algebra – Logarithms – If p^3 = q^4 = r^5 = s^6


Quantitative Aptitude – Algebra - Logarithms – If p^3 = q^4 = r^5 = s^6

Slot -2 – Quantitative Aptitude – Algebra – Logarithms – If p^3 = q^4 = r^5 = s^6



If p^3 = q^4 = r^5 = s^6, then the value of log_s⁡pqr is equal to?
a) 24/5
b) 16/5
c) 47/10
d) 1

Answer: c) 47/10

Solution:
Let p^3 = q^4 = r^5 = s^6=k
So p=k^(1/3), q=k^(1/4), r=k^(1/5) and s=k^(1/6)
Thus log(base s)⁡pqr = log(base(k^(1/6) ))⁡ k^(1/3+1/4+1/5) =6 log(base k)⁡ k^((20+15+12)/60)=6×47/60 log(base k)⁡ k=47/10

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