Mixtures and Alligation Questions

Multiple choice
  1. 25 : 29

  2. 9 : 10

  3. 27 : 29

  4. 27 : 31

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

In the first mixture (20L), spirit is 3/10 * 20 = 6L and water is 14L. In the second (36L), spirit is 7/12 * 36 = 21L and water is 15L. Total spirit = 6 + 21 = 27L, total water = 14 + 15 = 29L. The ratio is 27:29.

Multiple choice
  1. $6: 5$
  2. $9: 4$
  3. $12: 7$
  4. $7: 5$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Alloy A: Gold/Copper = 7/9, 2/9. Alloy B: Gold/Copper = 7/18, 11/18. Equal quantities: (7/9 + 7/18) / (2/9 + 11/18) = (14/18 + 7/18) / (4/18 + 11/18) = 21/15 = 7/5.