Match List - I with List - II: List - I List - II A. Ratio male:female = 9:11,…
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Match List - I with List - II:
List - I | List - II |
|---|---|
A. Ratio male:female = 9:11, % of females | I. 4 |
B. (7 + x)/(11 + x) = 2/3 | II. 2 |
C. If one number is doubled (direct proportion), product becomes | III. 55 |
D. If x:y = 3:2, then (xy + y²)/(x² − y²) | IV. 1 |
- A.
A-III, B-I, C-II, D-IV
- B.
A-II, B-III, C-IV, D-I
- C.
A-III, B-IV, C-I, D-II
- D.
A-III, B-II, C-IV, D-I
Attempted by 7 students.
Show answer & explanation
Correct answer: C
To match List - I with List - II, we solve each item in List - I:
A. Ratio male:female = 9:11. Total parts = 20. Percentage of females = (11/20) × 100 = 55%. This matches III.
B. Solve (7 + x)/(11 + x) = 2/3. Cross-multiply: 3(7+x) = 2(11+x) → 21 + 3x = 22 + 2x → x = 1. This matches IV.
D. Given x:y = 3:2, substitute x=3k, y=2k into (xy + y²)/(x² − y²). Numerator = 6k² + 4k² = 10k². Denominator = 9k² - 4k² = 5k². Result = 2. This matches II.
C. By elimination, this matches I (4).
Final Matching: A-III, B-IV, C-I, D-II.