Match the LIST-I with LIST-II LIST-I (Question) LIST-II (Answer) A. If ( x/5 =…
2025
Match the LIST-I with LIST-II
LIST-I (Question) | LIST-II (Answer) |
|---|---|
A. If ( x/5 = y/8 ), then ((x+5):(y+8)=?) | III. 3: 5 |
B. If ((x:y)=2:1), then ((x2 - y2):(x2 + y2)=?) | II. 2 : 3 |
C. If ((x2 + 4y2)=4xy), then (x:y=?) | I. 2 : 1 |
D. If (A: B=3:4) and (B: C=8:9), then (A: C=?) | IV. 5: 8 |
- A.
A-IV, B-III, C-I, D-II
- B.
A-I, B-II, C-III, D-IV
- C.
A-II, B-III, C-I, D-IV
- D.
A-III, B-II, C-I, D-IV
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Show answer & explanation
Correct answer: A
Step 1: Item A. Given x/5 = y/8, let x=5k and y=8k. Then (x+5):(y+8) = 5(k+1):8(k+1) = 5:8. Matches IV. Step 2: Item B. Given x:y=2:1, let x=2k and y=k. Then (x²-y²):(x²+y²) = 3k²:5k² = 3:5. Matches III. Step 3: Item C. Given x²+4y²=4xy, rearrange to (x-2y)²=0. Thus x:y=2:1. Matches I. Step 4: Item D. Given A:B=3:4 and B:C=8:9. Common term for B is 8. A:B becomes 6:8. Ratio A:C = 6:9 = 2:3. Matches II. Conclusion: Correct mapping is A-IV, B-III, C-I, D-II.