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Question
  1. The greatest ratio out of 2 : 3, 5 : 4, 3 : 2 and 4 : 5 is

Options:
A .  2 : 3
B .  3 : 2
C .  4 : 5
D .  5 : 4
Answer: Option B
To find the greatest ratio out of 2 : 3, 5 : 4, 3 : 2 and 4 : 5, we need to convert each ratio into a fraction and compare the fractional values.
Here's how we can convert the ratios into fractions:
  • 2 : 3 = 2/3
  • 5 : 4 = 5/4
  • 3 : 2 = 3/2
  • 4 : 5 = 4/5
Now, we need to compare the fractional values of these ratios:
  • 2/3 < 3/2
  • 5/4 < 3/2
  • 3/2 > 4/5
Therefore, the greatest ratio out of the four is 3 : 2, or 3/2.
Hence, the correct answer is B. 3 : 2.
Let's summarize the solution in bullet points:
  • Convert the ratios into fractions: 2 : 3 = 2/3, 5 : 4 = 5/4, 3 : 2 = 3/2, 4 : 5 = 4/5
  • Compare the fractional values of these ratios: 2/3 < 3/2, 5/4 < 3/2, 3/2 > 4/5
  • Hence, the greatest ratio out of the four is 3 : 2, or 3/2, and the correct answer is B. 3 : 2.

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3 Comments

Good
find the LCM for denominators.
the LCM for 3,4,2,5 is 60.
multiply each fraction with LCM i.e.,
(2/3)*60=40
(5/4)*60=75
(3/2)*60=90
(4/5)*60=48
Hence, the answer is 3:2.
This is the method of solving these question.

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