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The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 is
- a)1 : 1
- b)1 : 5
- c)3 : 8
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 isa)1 : 1b)1 : ...
2×3×9×4×5×6×8×10 = 720:720
which gives 1:1
which gives 1:1
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The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 isa)1 : 1b)1 : ...
Given ratio: 2 : 3, 9 : 4, 5 : 6 and 8 : 10
To find the compound ratio, we need to simplify each ratio to its lowest terms and then multiply all the numerators to get the new numerator and multiply all the denominators to get the new denominator.
Simplifying each ratio to its lowest term:
2 : 3 can't be simplified further
9 : 4 can't be simplified further
5 : 6 can't be simplified further
8 : 10 can be simplified as 4 : 5
Multiplying all the numerators to get the new numerator:
2 x 9 x 5 x 4 = 360
Multiplying all the denominators to get the new denominator:
3 x 4 x 6 x 5 = 360
Therefore, the compound ratio is 360 : 360, which simplifies to 1 : 1.
Hence, the correct answer is option A) 1 : 1.
To find the compound ratio, we need to simplify each ratio to its lowest terms and then multiply all the numerators to get the new numerator and multiply all the denominators to get the new denominator.
Simplifying each ratio to its lowest term:
2 : 3 can't be simplified further
9 : 4 can't be simplified further
5 : 6 can't be simplified further
8 : 10 can be simplified as 4 : 5
Multiplying all the numerators to get the new numerator:
2 x 9 x 5 x 4 = 360
Multiplying all the denominators to get the new denominator:
3 x 4 x 6 x 5 = 360
Therefore, the compound ratio is 360 : 360, which simplifies to 1 : 1.
Hence, the correct answer is option A) 1 : 1.
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