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Mixtures and Alligation

Quantitative Aptitude · Maths Bookwise · Arithmetic

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Mixtures and Alligation

FOUNDATION

Conserve quantity of each component when mixing.

METHOD

Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.

WORKED EXAMPLE 1

A vessel has 143 L milk and 65 L water. How many litres of water should be added so the milk:water ratio becomes 11:17?

Milk remains 143 L. Target water = 143×(17/11)=221 L. Water to add = 221−65=156 L.

WORKED EXAMPLE 2

A vessel has 195 L milk and 45 L water. How many litres of water should be added so the milk:water ratio becomes 13:12?

Milk remains 195 L. Target water = 195×(12/13)=180 L. Water to add = 180−45=135 L.

IMPORTANT EXCEPTION / COMMON TRAP

Do not average concentration percentages without weighting volumes.

QUICK REVISION

Conserve quantity of each component when mixing.

SEE MORE: https://study.kundali-iq.com/ssc-maths/mixture/

For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.

Practice MCQs

A vessel has 143 L milk and 65 L water. How many litres of water should be added so the milk:water ratio becomes 11:17?
1. 156
2. 166
3. 146
4. 176
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Answer: (a) 156. Milk remains 143 L. Target water = 143×(17/11)=221 L. Water to add = 221−65=156 L.
A vessel has 195 L milk and 45 L water. How many litres of water should be added so the milk:water ratio becomes 13:12?
1. 153
2. 126
3. 144
4. 135
Read chapter notes · Similar questions
Show answer
Answer: (d) 135. Milk remains 195 L. Target water = 195×(12/13)=180 L. Water to add = 180−45=135 L.
A vessel has 80 L milk and 20 L water. How many litres of water should be added so the milk:water ratio becomes 8:5?
1. 30
2. 34
3. 28
4. 32
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Answer: (a) 30. Milk remains 80 L. Target water = 80×(5/8)=50 L. Water to add = 50−20=30 L.
A vessel has 140 L milk and 56 L water. How many litres of water should be added so the milk:water ratio becomes 10:5?
1. 16
2. 14
3. 15
4. 13
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Answer: (b) 14. Milk remains 140 L. Target water = 140×(5/10)=70 L. Water to add = 70−56=14 L.
20 L of a 30% salt solution is mixed with 10 L of a 60% salt solution. What is the resulting salt percentage
1. 40%
2. 35%
3. 45%
4. 50%
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Show answer
Answer: (a) 40%. Salt = 20 × 0.30 + 10 × 0.60 = 12 L-equivalent; total = 30 L; concentration = 40%.

Mixtures and Alligation

Practice MCQs

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