UCAT Exam > UCAT Questions > u : v = 4 : 7 and v : w = 9 : 7. If u = 72, t...
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u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?
- a)98
- b)77
- c)63
- d)49
- e)56
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of ...
u : v = 4 : 7 and v : w = 9 : 7
To make ratio v equal in both cases
We have to multiply the 1st ratio by 9 and 2nd ratio by 7
u : v = 9 × 4 : 9 × 7 = 36 : 63 ----(i)
v : w = 9 × 7 : 7 × 7 = 63 : 49 ----(ii)
Form (i) and (ii), we can see that the ratio v is equal in both cases
So, Equating the ratios we get,
u ∶ v ∶ w = 36 ∶ 63 ∶ 49
⇒ u ∶ w = 36 ∶ 49
When u = 72,
⇒ w = 49 × 72/36 = 98
∴ Value of w is 98
Most Upvoted Answer
u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of ...
u : v = 4 : 7 and v : w = 9 : 7
To make ratio v equal in both cases
We have to multiply the 1st ratio by 9 and 2nd ratio by 7
u : v = 9 × 4 : 9 × 7 = 36 : 63 ----(i)
v : w = 9 × 7 : 7 × 7 = 63 : 49 ----(ii)
Form (i) and (ii), we can see that the ratio v is equal in both cases
So, Equating the ratios we get,
u ∶ v ∶ w = 36 ∶ 63 ∶ 49
⇒ u ∶ w = 36 ∶ 49
When u = 72,
⇒ w = 49 × 72/36 = 98
∴ Value of w is 98
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Community Answer
u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of ...
u : v = 4 : 7 and v : w = 9 : 7
To make ratio v equal in both cases
We have to multiply the 1st ratio by 9 and 2nd ratio by 7
u : v = 9 × 4 : 9 × 7 = 36 : 63 ----(i)
v : w = 9 × 7 : 7 × 7 = 63 : 49 ----(ii)
Form (i) and (ii), we can see that the ratio v is equal in both cases
So, Equating the ratios we get,
u ∶ v ∶ w = 36 ∶ 63 ∶ 49
⇒ u ∶ w = 36 ∶ 49
When u = 72,
⇒ w = 49 × 72/36 = 98
∴ Value of w is 98
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u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?a)98b)77c)63d)49e)56Correct answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?a)98b)77c)63d)49e)56Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?a)98b)77c)63d)49e)56Correct answer is option 'A'. Can you explain this answer?.
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