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1. If x : y = 2 : 3, and m : n = 9 : 4, find the ratio xn : ym.
- A. 27 : 8
- B. 27 : 8
- C. 27 : 8
- D. 27 : 8
Answer: Option D
Explanation:
x : y = 2 : 3
or, x / y = 2 / 3 - - - - - - - - (i)
Again, m : n = 9 : 4
or, m / n = 9 / 4 - - - - - - - (ii)
Now, (i)/(ii) >> (x/y) / (m/n) = (2/3) / (9/4)
or, xn / ym = 8 / 27
So, xn : ym = 8 : 27
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