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The ratio compounded of 4:9, and the duplicate ratio of 3:4,the triplicate ratio of 2:3 and 9:7 is
- a)2:7
- b)7:2
- c)2:21
- d)none of these
Correct answer is 'C'. Can you explain this answer?
Verified Answer
The ratio compounded of 4:9, and the duplicate ratio of 3:4,the tripli...
The duplicate ratio of 3:4 is 3^2/4^2 = 9/16.
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27.
Now we have 4 ratios: 4:9, 9:16, 8:27 and 9:7.
We have to calculate the ratio compounded of all these ratios.
That will be (4 x 9 x 8 x 9)/(9 x 16 x 27 x 7) = 2/21.
Most Upvoted Answer
The ratio compounded of 4:9, and the duplicate ratio of 3:4,the tripli...
Given ratios:
- Compounded ratio of 4:9 means (4/9) * (4/9) = 16:81
- Duplicate ratio of 3:4 means 3*2:4*2 = 6:8 = 3:4
- Triplicate ratio of 2:3 means 2*3:3*3 = 6:9 = 2:3
- Ratio of 9:7 remains the same
To find the combined ratio, we need to multiply all these ratios:
16:81 * 3:4 * 2:3 * 9:7
Simplifying this expression, we get:
(16 * 3 * 2 * 9) : (81 * 4 * 3 * 7)
Which reduces to:
(16 * 2 * 3) : (3 * 4 * 7)
= 2:21
Therefore, the answer is option C) 2:21.
- Compounded ratio of 4:9 means (4/9) * (4/9) = 16:81
- Duplicate ratio of 3:4 means 3*2:4*2 = 6:8 = 3:4
- Triplicate ratio of 2:3 means 2*3:3*3 = 6:9 = 2:3
- Ratio of 9:7 remains the same
To find the combined ratio, we need to multiply all these ratios:
16:81 * 3:4 * 2:3 * 9:7
Simplifying this expression, we get:
(16 * 3 * 2 * 9) : (81 * 4 * 3 * 7)
Which reduces to:
(16 * 2 * 3) : (3 * 4 * 7)
= 2:21
Therefore, the answer is option C) 2:21.
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Community Answer
The ratio compounded of 4:9, and the duplicate ratio of 3:4,the tripli...
4/9 × 9/16 × 8/27 × 9/7 = 2/21. i.e- 2:21
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