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If x : y = 3 : 4, the value of (x^2*y + x*y^2) : (x^3 + y^3) is
A12 : 13
B21 : 31
C13 : 12
D9 : 16
Answer & Solution
Correct answer: A. 12 : 13
1. Take x = 3 and y = 4 for direct substitution.
2. Numerator: x^2*y + x*y^2 = xy(x + y) = 3*4*7 = 84.
3. Denominator: x^3 + y^3 = 27 + 64 = 91.
4. Ratio = 84 : 91 = 12 : 13 (divide both by 7).
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q19_
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