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CCAT Ratio, Ages & Mixtures Questions
Practise ratio, ages & mixtures (quantitative aptitude) for the Criteria Cognitive Aptitude Test (CCAT): 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.In what ratio must rice at $60/kg be mixed with rice at $130/kg to get a mixture worth $80/kg?
Show answer & explanation
Answer: C — 5:2
Alligation: (dearer − mean) : (mean − cheaper) = (130 − 80) : (80 − 60) = 50:20 = 5:2.
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Q2.The present ages of two people are in the ratio 5:3. After 9 years the sum of their ages will be 82. What is the present age of the elder person?
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Answer: D — 40 years
Let ages be 5x and 3x. After 9 years: 5x + 9 + 3x + 9 = 82 → 8x = 64 → x = 8. Elder = 5×8 = 40 years.
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Q3.The present ages of two people are in the ratio 2:1. After 8 years the sum of their ages will be 43. What is the present age of the elder person?
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Answer: D — 18 years
Let ages be 2x and 1x. After 8 years: 2x + 8 + 1x + 8 = 43 → 3x = 27 → x = 9. Elder = 2×9 = 18 years.
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Q4.The present ages of two people are in the ratio 5:1. After 6 years the sum of their ages will be 48. What is the present age of the elder person?
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Answer: B — 30 years
Let ages be 5x and 1x. After 6 years: 5x + 6 + 1x + 6 = 48 → 6x = 36 → x = 6. Elder = 5×6 = 30 years.
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Q5.The present ages of two people are in the ratio 3:2. After 5 years the sum of their ages will be 50. What is the present age of the elder person?
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Answer: C — 24 years
Let ages be 3x and 2x. After 5 years: 3x + 5 + 2x + 5 = 50 → 5x = 40 → x = 8. Elder = 3×8 = 24 years.
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Q6.The present ages of two people are in the ratio 3:1. After 6 years the sum of their ages will be 48. What is the present age of the elder person?
Show answer & explanation
Answer: A — 27 years
Let ages be 3x and 1x. After 6 years: 3x + 6 + 1x + 6 = 48 → 4x = 36 → x = 9. Elder = 3×9 = 27 years.
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Q7.The present ages of two people are in the ratio 5:4. After 9 years the sum of their ages will be 90. What is the present age of the elder person?
Show answer & explanation
Answer: B — 40 years
Let ages be 5x and 4x. After 9 years: 5x + 9 + 4x + 9 = 90 → 9x = 72 → x = 8. Elder = 5×8 = 40 years.
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Q8.$2,244 is divided between A and B in the ratio 5:7. What is B’s share?
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Answer: C — $1,309
Total parts = 5 + 7 = 12; one part = 2,244/12 = 187; second share = 7 × 187 = $1,309.
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Q9.In what ratio must rice at $60/kg be mixed with rice at $140/kg to get a mixture worth $90/kg?
Show answer & explanation
Answer: D — 5:3
Alligation: (dearer − mean) : (mean − cheaper) = (140 − 90) : (90 − 60) = 50:30 = 5:3.
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Q10.In what ratio must rice at $90/kg be mixed with rice at $140/kg to get a mixture worth $120/kg?
Show answer & explanation
Answer: D — 2:3
Alligation: (dearer − mean) : (mean − cheaper) = (140 − 120) : (120 − 90) = 20:30 = 2:3.
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 CCAT
Criteria Cognitive Aptitude Test (CCAT) — conducted by Criteria Corp (pre-employment test publisher). A 15-minute, 50-question pre-employment aptitude test used by thousands of employers to measure problem-solving, verbal, math and logic, and spatial reasoning. The average raw score is about 24 out of 50.
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.
CCAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Vocabulary & Idioms | English | Question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Spatial Reasoning | Reasoning | Calculated (new numbers every set) |
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Speed, Distance, Trains & Boats | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |