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GMAT Ratio, Ages & Mixtures Questions
Practise ratio, ages & mixtures (quantitative aptitude) for the GMAT Focus Edition: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Ratio, Ages & Mixtures practice
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Q1.$4,272 is divided between A and B in the ratio 5:3. What is B’s share?
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Answer: A — $1,602
Total parts = 5 + 3 = 8; one part = 4,272/8 = 534; second share = 3 × 534 = $1,602.
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Q2.In what ratio must rice at $110/kg be mixed with rice at $160/kg to get a mixture worth $130/kg?
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Answer: B — 3:2
Alligation: (dearer − mean) : (mean − cheaper) = (160 − 130) : (130 − 110) = 30:20 = 3:2.
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Q3.In what ratio must rice at $90/kg be mixed with rice at $160/kg to get a mixture worth $110/kg?
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Answer: D — 5:2
Alligation: (dearer − mean) : (mean − cheaper) = (160 − 110) : (110 − 90) = 50:20 = 5:2.
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Q4.$324 is divided between A and B in the ratio 1:1. What is B’s share?
Show answer & explanation
Answer: B — $162
Total parts = 1 + 1 = 2; one part = 324/2 = 162; second share = 1 × 162 = $162.
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Q5.In what ratio must rice at $120/kg be mixed with rice at $150/kg to get a mixture worth $140/kg?
Show answer & explanation
Answer: D — 1:2
Alligation: (dearer − mean) : (mean − cheaper) = (150 − 140) : (140 − 120) = 10:20 = 1:2.
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Q6.$572 is divided between A and B in the ratio 6:5. What is B’s share?
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Answer: D — $260
Total parts = 6 + 5 = 11; one part = 572/11 = 52; second share = 5 × 52 = $260.
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Q7.The present ages of two people are in the ratio 2:1. After 9 years the sum of their ages will be 30. What is the present age of the elder person?
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Answer: B — 8 years
Let ages be 2x and 1x. After 9 years: 2x + 9 + 1x + 9 = 30 → 3x = 12 → x = 4. Elder = 2×4 = 8 years.
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Q8.The present ages of two people are in the ratio 2:1. After 10 years the sum of their ages will be 38. What is the present age of the elder person?
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Answer: A — 12 years
Let ages be 2x and 1x. After 10 years: 2x + 10 + 1x + 10 = 38 → 3x = 18 → x = 6. Elder = 2×6 = 12 years.
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Q9.In what ratio must rice at $90/kg be mixed with rice at $130/kg to get a mixture worth $100/kg?
Show answer & explanation
Answer: B — 3:1
Alligation: (dearer − mean) : (mean − cheaper) = (130 − 100) : (100 − 90) = 30:10 = 3:1.
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Q10.The present ages of two people are in the ratio 5:1. After 5 years the sum of their ages will be 34. What is the present age of the elder person?
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Answer: D — 20 years
Let ages be 5x and 1x. After 5 years: 5x + 5 + 1x + 5 = 34 → 6x = 24 → x = 4. Elder = 5×4 = 20 years.
How to approach ratio, ages & mixtures questions
Write the ratio as parts (e.g. 3:5 → 8 parts), find the value of one part, then scale. For mixtures, alligation gives the ratio as (dearer − mean) : (mean − cheaper).
About GMAT
GMAT Focus Edition — conducted by Graduate Management Admission Council (GMAC). Business-school admission test with Quantitative Reasoning, Verbal Reasoning and Data Insights.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
GMAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |