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Quantitative Aptitude
SSC GD, SSC quantitative aptitude
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Mixture and Allegation for SSC GD | Concepts & Practice | SSC GD Quantitative Aptitude
Build Mixture and Allegation accuracy for SSC GD with concept clarity, key relations, exam-speed methods and approved practice.
Tailored for SSC GD Quantitative Aptitude. 4 active practice questions. Related topics: Percentage, Profit and Loss, Simple Interest.
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Concept summary
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Weak-area analytics
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Quick Summary
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Mixture and Allegation at a glance
Mixture and Allegation revision for SSC GD: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.
Concept
Core idea
Mixture and Alligation questions compare quantities or prices of components to obtain a required mean value. Alligation gives the ratio directly when two component values and the mean are known.
SSC GD focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.
Short Notes
Fast revision notes
Mixture and Allegation revision rule: concept → formula/relation → one worked example → timed practice → error review.
Revision
Last-minute points
- Core concept
- Key formula/relation
- Common trap
- Approved practice
Formula Box
Free
Formula / key facts
- Cheaper : Dearer = (Dearer-Mean) : (Mean-Cheaper)
- Weighted mean = total value / total quantity
Shortcut Zone
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Tricks / shortcuts
The required mean must lie between the two component values. If it does not, recheck the interpretation.
Memory Trick
Remember faster
The required mean must lie between the two component values. If it does not, recheck the interpretation.
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Exam Tips
How to score with this topic
- Read the exact requirement before choosing a shortcut.
- Keep units, signs and percentage bases consistent.
- Use the final few seconds to verify direction and magnitude.
Mistakes
Common traps to avoid
- Using a memorised shortcut without checking its condition.
- Skipping unit or base conversion.
- Doing long arithmetic before identifying the underlying relation.
Solved Example
Step-by-step example
Practice example: In a Mixture and Allegation practice set, a student answers 18 questions correctly out of 24. What percentage is correct?
Solution: Correct percentage = 18/24 x 100 = 75%.
Practice Preview
Before you solve
- A 64-litre mixture contains milk and water in the ratio 5:3. How much milk is present?
- A vessel contains 30 litres of milk. How much water must be added so that milk and water are in the ratio 3:2?
- A 60-litre mixture contains milk and water in the ratio 2:1. Fifteen litres of the mixture is removed and replaced with water. What is the new ratio of milk to water?
Learn the shortcut first
Shortcut before you solve
Mixture questions become short once you move from long equations to the alligation cross method.
Featured shortcut
Use alligation when two values are mixed to get a mean value.
Exam-use rule
Cheaper : dearer = (dearer - mean) : (mean - cheaper).
Use this in 3 seconds
Write high price, mean price, low price, then cross subtract immediately.
Faster solving steps
Use this 4-step method before solving to keep your thinking fast and repeatable.
Step 1
Identify relation
Spot the pattern, relationship, or core idea first.
Step 2
Apply same pattern
Use the same rule instead of re-solving from scratch.
Step 3
Eliminate wrong options
Remove confusing choices before comparing the last few.
Step 4
Confirm final answer
Pick the option that matches the shortcut most cleanly.
Practice Questions
Start with the first 10 questions free, then unlock the rest with premium
Now apply the trick on real questions
Use the shortcut above before solving these questions
Use alligation when two values are mixed to get a mean value.
Tip: The ratio is found by cross-subtracting the mean from the two component values.
Real exam shortcut before you solve
In what ratio should Rs. 20/kg rice be mixed with Rs. 30/kg rice to get a mixture of Rs. 26/kg?
Step 1
Cross subtract: 30 - 26 = 4 and 26 - 20 = 6.
Step 2
Required ratio = 4 : 6 = 2 : 3.
Rule
Cheaper : dearer = (dearer - mean) : (mean - cheaper).
3-second trick
Write high price, mean price, low price, then cross subtract immediately.
Trap to avoid
Reversing the ratio after cross subtraction.
Correct answer
2 : 3
Worked example
In what ratio should Rs. 20/kg rice be mixed with Rs. 30/kg rice to get a mixture of Rs. 26/kg?
Thinking path
- Take the higher and lower prices.
- Subtract the mean crosswise.
- Reduce the ratio if possible.
Final answer: 2 : 3
Why this is fast: Alligation avoids long linear equations in standard mixture problems.
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Q1
Medium
A 60-litre mixture contains milk and water in the ratio 2:1. Fifteen litres of the mixture is removed and replaced with water. What is the new ratio …
Concept type: Weighted average ratio
Shortcut used: Use alligation when two values are mixed to get a mean value.
Quick hint: The ratio is found by cross-subtracting the mean from the two component values.
Quick idea: The new ratio is 1:1.
Q2
Easy
A vessel contains 30 litres of milk. How much water must be added so that milk and water are in the ratio 3:2?
Concept type: Weighted average ratio
Shortcut used: Use alligation when two values are mixed to get a mean value.
Quick hint: The ratio is found by cross-subtracting the mean from the two component values.
Quick idea: Twenty litres of water must be added.
Q3
Easy
A 64-litre mixture contains milk and water in the ratio 5:3. How much milk is present?
Concept type: Weighted average ratio
Shortcut used: Use alligation when two values are mixed to get a mean value.
Quick hint: The ratio is found by cross-subtracting the mean from the two component values.
Quick idea: The mixture contains 40 litres of milk.
Q4
Easy
In a Mixture and Allegation practice set, a student answers 18 questions correctly out of 24. What percentage is correct?
Concept type: Weighted average ratio
Shortcut used: Use alligation when two values are mixed to get a mean value.
Quick hint: The ratio is found by cross-subtracting the mean from the two component values.
Quick idea: Correct percentage = 18/24 x 100 = 75%.
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FAQ
Frequently asked questions
How should I revise Mixture and Allegation for SSC GD?
Revise the core relation, solve one worked example, then attempt a short timed practice set.
Are these official PYQs?
No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.
Continue your Prep
Keep momentum going with connected topics from Quantitative Aptitude and head back to the full subject roadmap when you want a broader revision path.
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