Multiple choice

Two liquids A and B are in the ratio 5 : 1 in container 1 and in container 2, they are in the ratio 1 : 3. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1: 1? दो द्रव A और B, कन्टेनर 1 में 5 : 1 के अनुपात में है और कन्टेनर 2 में 1 : 3 के अनुपात में है। दोनों कन्टेनरों के अवयव को किस अनुपात में मिलाया जाये कि प्राप्त मिश्रण में A और B का अनुपात 1 : 1 हो जाये?

  1. 2 : 3

  2. 4 : 3

  3. 3 : 2

  4. 3 : 4

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Container 1: A:B = 5:1, so fraction of A = 5/6. Container 2: A:B = 1:3, so fraction of A = 1/4. Let mixing ratio be x:y. Total A = (5/6)x + (1/4)y. Total B = (1/6)x + (3/4)y. For A:B = 1:1, we need (5/6)x + (1/4)y = (1/6)x + (3/4)y. Simplifying: (4/6)x = (2/4)y, so (2/3)x = (1/2)y, giving x:y = 3:4.