Mixtures and Alligation Questions

Multiple choice
  1. 4 : 5

  2. 5 : 4

  3. 1 : 3

  4. 2 : 3

  5. None of these

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

Alloy 1: 65% Cu, 35% Ni (Ratio 13:7). Alloy 2: 17:3 (85% Cu, 15% Ni). Target: 4:1 (80% Cu, 20% Ni). Using alligation: |85-80| : |80-65| = 5 : 15 = 1 : 3.

Multiple choice
  1. 14.5 lit

  2. 12.8 lit

  3. 11.6 lit

  4. 10.46 lit

  5. None of these

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

Initial milk = 20. After first replacement: 20 * (1 - 4/20) = 16. After second replacement: 16 * (1 - 4/20) = 16 * 0.8 = 12.8.

Multiple choice
  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be established from the information given.

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

A+W = 60, A-W = 12. 2A = 72, A = 36, W = 24. Adding x water: 36 / (24+x) = 18/17. 36*17 = 18*(24+x). 2*17 = 24+x. 34 = 24+x. x = 10. Quantity A (10) > Quantity B (8).

Multiple choice
  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be established from the information given.

Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice
  1. 15.35

  2. 11.25

  3. 15

  4. 16

  5. None of these

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

Alloy 1: 28 kg (3:4) -> 12 kg Cu, 16 kg Zn. Alloy 2: 35 kg (3:2) -> 21 kg Cu, 14 kg Zn. Total Cu = 33 kg. Total Zn = 30 + x kg. Ratio 33/(30+x) = 4/5. 165 = 120 + 4x. 45 = 4x, x = 11.25.

Multiple choice
  1. 6:4

  2. 64:53

  3. 17:19

  4. 53:64

  5. 11:13

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

Container 1: 6/13 water, 7/13 alcohol. Container 2: 4/9 water, 5/9 alcohol. Mix equal volumes: Water = 6/13 + 4/9 = (54+52)/117 = 106/117. Alcohol = 7/13 + 5/9 = (63+65)/117 = 128/117. Ratio = 106:128 = 53:64.

Multiple choice
  1. 100L

  2. 125L

  3. 115L

  4. 105L

  5. 112L

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

This is a complex mixture problem. Solving the system of equations based on the volume and concentration changes leads to 100L as the initial quantity of milk in vessel A.