Match List-I with List-II.
| List-I (Quantities) | List-II (Ratio in simplest form) | ||
|---|---|---|---|
| (A) | \(0.75:1.25\) | (I) | \(3:8\) |
| (B) | \(\frac{2}{3}:\frac{3}{4}\) | (II) | \(3:2\) |
| (C) | 45 minutes : 2 hours | (III) | \(3:5\) |
| (D) | 1.2 kg : 800 g | (IV) | \(8:9\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
Bring both terms to the same unit, clear fractions or decimals, then divide by the HCF.
(A) \(0.75:1.25\) — this matches (III) \(3:5\). Multiply by 100: \(75:125\); divide by 25: \(3:5\).
(B) \(\frac{2}{3}:\frac{3}{4}\) — this matches (IV) \(8:9\). Multiply both terms by 12: \(8:9\).
(C) 45 minutes : 2 hours — this matches (I) \(3:8\). 2 hours \(=120\) minutes, and \(45:120=3:8\).
(D) 1.2 kg : 800 g — this matches (II) \(3:2\). 1.2 kg \(=1200\) g, and \(1200:800=3:2\).