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The ratio compounded of 4:9 , 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?
a 2:7
b 7:2
c 2:21
d none of these?
Most Upvoted Answer
The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicat...
Understanding Ratios
To solve the problem, we need to calculate the compounded ratio of the given ratios and understand the terms used.
Given Ratios:
- Compounded Ratio: 4:9
- Duplicate Ratio of 3:4
- Triplicate Ratio of 2:3
- 9:7
Calculating Each Ratio:
- Compounded Ratio (4:9): This is already in its simplest form.
- Duplicate Ratio (3:4):
- To find the duplicate ratio, square both terms:
- (3^2):(4^2) = 9:16
- Triplicate Ratio (2:3):
- To find the triplicate ratio, cube both terms:
- (2^3):(3^3) = 8:27
- Ratio (9:7): This is also in its simplest form.
Combining the Ratios:
Now, we need to combine all the obtained ratios:
- Compounded Ratio: 4:9
- Duplicate Ratio: 9:16
- Triplicate Ratio: 8:27
- Final Ratio: 9:7
Finding the Compounded Ratio:
To find the overall compounded ratio:
1. Multiply the numerators:
- 4 * 9 * 8 * 9 = 2592
2. Multiply the denominators:
- 9 * 16 * 27 * 7 = 254016
Thus, the overall compounded ratio is:
Final Compounded Ratio:
- 2592:254016
Simplifying the Ratio:
Upon simplifying 2592:254016, we divide both terms by their GCD:
The simplified ratio is found to be 2:21.
Final Answer:
Therefore, the answer is c) 2:21.
To solve the problem, we need to calculate the compounded ratio of the given ratios and understand the terms used.
Given Ratios:
- Compounded Ratio: 4:9
- Duplicate Ratio of 3:4
- Triplicate Ratio of 2:3
- 9:7
Calculating Each Ratio:
- Compounded Ratio (4:9): This is already in its simplest form.
- Duplicate Ratio (3:4):
- To find the duplicate ratio, square both terms:
- (3^2):(4^2) = 9:16
- Triplicate Ratio (2:3):
- To find the triplicate ratio, cube both terms:
- (2^3):(3^3) = 8:27
- Ratio (9:7): This is also in its simplest form.
Combining the Ratios:
Now, we need to combine all the obtained ratios:
- Compounded Ratio: 4:9
- Duplicate Ratio: 9:16
- Triplicate Ratio: 8:27
- Final Ratio: 9:7
Finding the Compounded Ratio:
To find the overall compounded ratio:
1. Multiply the numerators:
- 4 * 9 * 8 * 9 = 2592
2. Multiply the denominators:
- 9 * 16 * 27 * 7 = 254016
Thus, the overall compounded ratio is:
Final Compounded Ratio:
- 2592:254016
Simplifying the Ratio:
Upon simplifying 2592:254016, we divide both terms by their GCD:
The simplified ratio is found to be 2:21.
Final Answer:
Therefore, the answer is c) 2:21.
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The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these?
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The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these?.
The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio compounded of 4:9 , the duplicate ratio of 3:4 the triplicate ratio of 2:3 and 9:7 isa 2:7b 7:2c 2:21d none of these?.
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