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Q.

Which ratio is larger among the following?


3: 7 or 4: 9


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a

3:7

b

4:9

c

both are equal

d

None 

answer is B.

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Detailed Solution

The given ratios are 3:7 and 4: 9
We can write it in fraction form as,
3:7 =37
4:9=49
Now, the LCM of 7 and 9 is 63.
Therefore, multiplying and dividing 37 by 9 and 49 by 7, we get,
3×97×9=2763
4×79×7=2863
We know that,
28 > 27
⇒2863>2763
⇒49>37
⇒4:9>3:7
Therefore 3:7 < 4:9.
Hence, the larger ratio is 4:9.
Hence option 2 is correct.
 
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