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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 : 412
- 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 1:...
duplicate of 4:5 = 16/25
tripicate of 1:3 = 1/27
sub duplicate of 81:256 =9/16
sub triplicate of 125:512 =5/8
now mulitipliy (16*1*9*5) :(25*27*16*8)
tripicate of 1:3 = 1/27
sub duplicate of 81:256 =9/16
sub triplicate of 125:512 =5/8
now mulitipliy (16*1*9*5) :(25*27*16*8)
=1/120
Most Upvoted Answer
The ratio compounded of duplicate ratio of 4:5, triplicate ratio of 1:...
Given ratios are:
- Duplicate ratio of 4:5 = 8:10 = 4:5
- Triplicate ratio of 1:3 = 3:9 = 1:3
- 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 of these ratios, we need to multiply the ratios together.
Multiplying all the ratios, we get:
4:5 x 1:3 x 81:256 x 125:512
= (4 x 1 x 81 x 125) : (5 x 3 x 256 x 512)
= 4050 : 1966080
Simplifying the ratio by dividing both sides by 50, we get:
81 : 39321
This ratio cannot be simplified any further, so the answer is option 'D' none of these.
- Duplicate ratio of 4:5 = 8:10 = 4:5
- Triplicate ratio of 1:3 = 3:9 = 1:3
- 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 of these ratios, we need to multiply the ratios together.
Multiplying all the ratios, we get:
4:5 x 1:3 x 81:256 x 125:512
= (4 x 1 x 81 x 125) : (5 x 3 x 256 x 512)
= 4050 : 1966080
Simplifying the ratio by dividing both sides by 50, we get:
81 : 39321
This ratio cannot be simplified any further, so the answer is option 'D' none of these.
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Community Answer
The ratio compounded of duplicate ratio of 4:5, triplicate ratio of 1:...
Duplicate ratio mean a²:b²= 4:5. 4*4 : 5*5 = 16 : 25 . triplicate ratio mean a³:b³ = 1:3 . 1*1*1 : 3*3*3 = 1: 27. sub duplicate ratio mean square root √a :√b = 81: 256. √81= 9. √256 = 16. 9 : 16 . sub triplicate ratio mean cube 3√α : 3√b = 125 : 512. 5*5*5 = 125. 8*8*8* = 512. 5 : 8. Answer is 16/25*1/27*9/16*5/8 = 1/5*1/3*1/1*1/8 = 1/120 . so answer is none of these option d is currect answer.
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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 : 412b)3 : 32c)1 : 12d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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