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The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub triplicate ratio of 125 : 512 is
- a)4 : 512
- b)3 : 32
- c)1 : 12
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of ...
The duplicate ratio of 4 : 5 is 4^2 : 5^2 i.e. 16 : 25
The triplicate ratio of 1 : 3 is 1^3 : 3^3 = 1 : 27
Sub duplicate ratio of 81 : 256 is (81)^1/2 : (256)^1/2 i.e. 9 : 16
Sub triplicate ratio of 125 : 512 is (125)^1/3: (512)^1/3 i.e. 5 : 8
Therefore the compounded ratio of (16:25) ; (1:27); (9:16) and (5:8) is:
16/25 x 1/27 x 9/16 x 5/8 = 9 x 5/25 x 27 x 8 = 1/(5 x 3 x 8) = 1/120.
Most Upvoted Answer
The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of ...
Given ratios are:
Duplicate ratio of 4 : 5 = 8 : 10 = 16 : 20
Triplicate ratio of 1 : 3 = 1 : 3 : 9
Sub duplicate ratio of 81 : 256 = √81 : √256 = 9 : 16
Sub triplicate ratio of 125 : 512 = ∛125 : ∛512 = 5 : 8
To find the compounded ratio, we need to multiply all the ratios together.
16 : 20 * 1 : 3 : 9 * 9 : 16 * 5 : 8
Simplifying the above expression, we get:
8 : 10 : 30 : 45 : 45 : 64 : 25 : 32
Now, we can simplify this expression further by dividing all the terms by their HCF, which is 5.
Thus, the final simplified ratio is:
1 : 2 : 6 : 9 : 9 : 64/5 : 5 : 32/5
None of the given options match this ratio, hence option D is the correct answer.
Duplicate ratio of 4 : 5 = 8 : 10 = 16 : 20
Triplicate ratio of 1 : 3 = 1 : 3 : 9
Sub duplicate ratio of 81 : 256 = √81 : √256 = 9 : 16
Sub triplicate ratio of 125 : 512 = ∛125 : ∛512 = 5 : 8
To find the compounded ratio, we need to multiply all the ratios together.
16 : 20 * 1 : 3 : 9 * 9 : 16 * 5 : 8
Simplifying the above expression, we get:
8 : 10 : 30 : 45 : 45 : 64 : 25 : 32
Now, we can simplify this expression further by dividing all the terms by their HCF, which is 5.
Thus, the final simplified ratio is:
1 : 2 : 6 : 9 : 9 : 64/5 : 5 : 32/5
None of the given options match this ratio, hence option D is the correct answer.
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Community Answer
The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of ...
16/25�1/27�9/16�5/8
=1�1�1�1/5�3�1�8
=1/120
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The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub triplicate ratio of 125 : 512 isa)4 : 512b)3 : 32c)1 : 12d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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