Exams › SSC CGL (Prelims) › General

If \(A:B = 4:9\), \(B:C = 3:7\), and \(C:D = 5:2\), find \(A:B:C:D\).

1. 20: 45: 105: 42
2. 4: 9: 7: 2
3. 12: 27: 63: 18
4. 20: 105: 45: 42

Correct answer: 20: 45: 105: 42

Solution

From \(A:B = 4:9\) and \(B:C = 3:7\), make B common: multiply the first ratio by 3 and the second by 9 to get \(A:B:C = 12:27:63\). Now use \(C:D = 5:2\); make C common by multiplying by 21 to get \(C:D = 105:42\). Combining gives \(A:B:C:D = 20:45:105:42\).

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