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Given that a : b = 5 : 3 and b : c = 2 : 5

Which of the following is true?

Solution

Correct Option: 3

Making b common: a:b=5:3=10:6a:b = 5:3 = 10:6 and b:c=2:5=6:15b:c = 2:5 = 6:15. So a:b:c=10:6:15a:b:c = 10:6:15, giving b<a<cb < a < c.

Note: The NTA key marks option 4 (a<c<ba<c<b), but the correct combination of the given ratios yields a:b:c=10:6:15a:b:c = 10:6:15, i.e., b<a<cb<a<c.

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