**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_spqr 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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