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The greatest ratio out of 2:3, 5:4, 3:2 and 4:5 is:
3
5:4
5
2
3
Convert each ratio a:b into decimal form baтАЛ. Since 23тАЛ=1.5 is greater than 1, and the others (32тАЛтЙИ0.66, 45тАЛ=1.25, 54тАЛ=0.8) are smaller than 1.5, it is clearly the largest.
We are given four ratios: 2:3, 5:4, 3:2, and 4:5.
Ratio=baтАЛ
Convert each ratio a:b into decimal form baтАЛ. Since 23тАЛ=1.5 is greater than 1, and the others (32тАЛтЙИ0.66, 45тАЛ=1.25, 54тАЛ=0.8) are smaller than 1.5, it is clearly the largest.
Students often compare fractions by cross-multiplying all pairs, which is time-consuming; converting to decimals is much faster.
Convert ratios to decimal fractions
Represent each ratio a:b as a fraction baтАЛ to compare their values.
2:3=0.66,5:4=1.25,3:2=1.5,4:5=0.8
Compare the decimal values
Comparing the decimal values: 1.5>1.25>0.8>0.66.
1.5>1.25>0.8>0.66
Identify the greatest ratio
The ratio corresponding to the decimal value 1.5 is 3:2.
3:2
D is correct because 3:2 equals 1.5, which is the largest value among 0.66, 1.25, 1.5, and 0.8.
This concept of comparing ratios by converting to decimals is highly useful in Data Interpretation sections of competitive exams where you need to quickly compare growth rates or percentages.
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