Match List I (Question) with List II (Answer) and choose the correct answer:
List I
i.If x/5 = y/8, then (x + 5) : (y + 8) = ?
ii.If (x : y) = 2 : 1, then (x² - y²) : (x² + y²) = ?
iii.If (x² + 4y²) = 4xy, then x : y = ?
iv.If A : B = 3 : 4 and B : C = 8 : 9, then A : C = ?
List II
a.2 : 1
b.2 : 3
c.3 : 5
d.5 : 8
Ai-d, ii-c, iii-a, iv-b ✓ Correct
Bi-a, ii-b, iii-c, iv-d
Ci-b, ii-c, iii-a, iv-d
Di-c, ii-d, iii-a, iv-b
Correct answer: (A) i-d, ii-c, iii-a, iv-b
Explanation
The matching is i-d, ii-c, iii-a, iv-b.
x/5 = y/8 gives (x+5):(y+8) = 5:8.
For x:y = 2:1, (x^2-y^2):(x^2+y^2) = 3:5.
x^2 + 4y^2 = 4xy gives (x-2y)^2 = 0, so x:y = 2:1.
A:B:C = 6:8:9 gives A:C = 2:3.
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