Multiple choice

  1. Two cylinders A and B contain ethanol and water in the ratio 5 : 2 and 7 : 6respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture invessel C containing ethanol and water in the ratio 8 : 5 ?A. 3: 4 B. 4 : 3 C. 9 : 7 D. 7 : 9

  1. Option 1

  2. Option 2

  3. Option 3

  4. Option 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ethanol fractions are 5/7 in A, 7/13 in B, target 8/13. Alligation gives the ratio (8/13 - 7/13) : (5/7 - 8/13) = (1/13) : (9/91) = 7 : 9. This matches option D.

AI explanation

Using the method of alligation, compare the ethanol fractions of mixtures A and B against the desired fraction in mixture C. The ethanol fraction in A is 5 over 7, in B is 7 over 13, and the target mixture C is 8 over 13. Alligation gives the required ratio as 1 over 13 to 9 over 91, which simplifies to 7 to 9.

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