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Q.

Which ratio is larger among the following?


5: 12 or 17: 30


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a

5:12

b

17:30

c

Both are equal

d

None 

answer is B.

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Detailed Solution

The given ratios are 5: 12 and 17: 30.
We can write it in fraction form as,
5:12 =512
17:30=1730
Now, the LCM of 12 and 30 is 60.
Therefore, multiplying and dividing 512 by 5 and 1730 by 2, we get,
5×512×5=2560
17×230×2=3460
We know that,
34 > 25
⇒3460>2560
⇒1730>512
⇒17:30>5:12
Therefore 5:12 < 17:30.
Hence, the larger ratio is 17:30.
Hence option 2 is correct.
 
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Which ratio is larger among the following?5: 12 or 17: 30