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P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None?
Verified Answer
P, Q and R are three cities.The ratio of average temperature between P...
P /Q = 11 / 12 P / R = 9 / 8
Q / R = P/R / P/Q = 9/8 / 11/12 = 9*12 / 8*11 = 27/22
Q : R = 27 : 22
This question is part of UPSC exam. View all CA Foundation courses
Most Upvoted Answer
P, Q and R are three cities.The ratio of average temperature between P...
Given Information:
- Average temperature ratio between P and Q is 11:12.
- Average temperature ratio between P and R is 9:8.
To Find:
- Ratio between the average temperature of Q and R.
Solution:
Let's assume the average temperatures of P, Q, and R to be 11x, 12x, and 9y respectively.
Average Temperature Ratio between P and Q:
According to the given information, the average temperature ratio between P and Q is 11:12.
So, we can write the equation as:
11x/12x = 11/12
Average Temperature Ratio between P and R:
According to the given information, the average temperature ratio between P and R is 9:8.
So, we can write the equation as:
11x/9y = 9/8
Solving the Equations:
Cross multiplying both equations, we get:
(11x * 12) = (12x * 11)
(11x * 8) = (9y * 9)
Simplifying the equations, we get:
132x = 132x
88x = 81y
Calculating the Ratio:
To find the ratio between the average temperature of Q and R, we need to find the values of x and y.
Dividing the second equation by 9, we get:
(88x/9) = y
Now, substituting the value of y in terms of x in the first equation:
88x = 81 * (88x/9)
792x = 81 * 88x
792 = 81 * 88
792 = 7128
Since we get a contradiction, it means there is no solution to this system of equations.
Therefore, the ratio between the average temperature of Q and R cannot be determined.
Answer:
The answer is (d) None. The ratio between the average temperature of Q and R cannot be determined based on the given information.
- Average temperature ratio between P and Q is 11:12.
- Average temperature ratio between P and R is 9:8.
To Find:
- Ratio between the average temperature of Q and R.
Solution:
Let's assume the average temperatures of P, Q, and R to be 11x, 12x, and 9y respectively.
Average Temperature Ratio between P and Q:
According to the given information, the average temperature ratio between P and Q is 11:12.
So, we can write the equation as:
11x/12x = 11/12
Average Temperature Ratio between P and R:
According to the given information, the average temperature ratio between P and R is 9:8.
So, we can write the equation as:
11x/9y = 9/8
Solving the Equations:
Cross multiplying both equations, we get:
(11x * 12) = (12x * 11)
(11x * 8) = (9y * 9)
Simplifying the equations, we get:
132x = 132x
88x = 81y
Calculating the Ratio:
To find the ratio between the average temperature of Q and R, we need to find the values of x and y.
Dividing the second equation by 9, we get:
(88x/9) = y
Now, substituting the value of y in terms of x in the first equation:
88x = 81 * (88x/9)
792x = 81 * 88x
792 = 81 * 88
792 = 7128
Since we get a contradiction, it means there is no solution to this system of equations.
Therefore, the ratio between the average temperature of Q and R cannot be determined.
Answer:
The answer is (d) None. The ratio between the average temperature of Q and R cannot be determined based on the given information.
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P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None?
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P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None?.
P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R are three cities.The ratio of average temperature between P and Q is 11:12 and that between P and R is 9:8.The ratio between the average temperature of Q and R is a) 22:27 b) 27:22 c) 32:33 d) None?.
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