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SHL Numerical Reasoning Ratio, Ages & Mixtures Questions
Practise ratio, ages & mixtures (quantitative aptitude) for the SHL-style Numerical & Verbal Reasoning practice: 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 $90/kg to get a mixture worth $70/kg?
Show answer & explanation
Answer: C — 2:1
Alligation: (dearer − mean) : (mean − cheaper) = (90 − 70) : (70 − 60) = 20:10 = 2:1.
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Q2.In what ratio must rice at $120/kg be mixed with rice at $180/kg to get a mixture worth $160/kg?
Show answer & explanation
Answer: D — 1:2
Alligation: (dearer − mean) : (mean − cheaper) = (180 − 160) : (160 − 120) = 20:40 = 1:2.
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Q3.The present ages of two people are in the ratio 5:4. After 7 years the sum of their ages will be 95. What is the present age of the elder person?
Show answer & explanation
Answer: C — 45 years
Let ages be 5x and 4x. After 7 years: 5x + 7 + 4x + 7 = 95 → 9x = 81 → x = 9. Elder = 5×9 = 45 years.
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Q4.In what ratio must rice at $50/kg be mixed with rice at $130/kg to get a mixture worth $60/kg?
Show answer & explanation
Answer: D — 7:1
Alligation: (dearer − mean) : (mean − cheaper) = (130 − 60) : (60 − 50) = 70:10 = 7:1.
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Q5.The present ages of two people are in the ratio 4:2. After 10 years the sum of their ages will be 50. What is the present age of the elder person?
Show answer & explanation
Answer: D — 20 years
Let ages be 4x and 2x. After 10 years: 4x + 10 + 2x + 10 = 50 → 6x = 30 → x = 5. Elder = 4×5 = 20 years.
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Q6.$1,690 is divided between A and B in the ratio 5:5. What is B’s share?
Show answer & explanation
Answer: C — $845
Total parts = 5 + 5 = 10; one part = 1,690/10 = 169; second share = 5 × 169 = $845.
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Q7.$1,968 is divided between A and B in the ratio 6:6. What is B’s share?
Show answer & explanation
Answer: D — $984
Total parts = 6 + 6 = 12; one part = 1,968/12 = 164; second share = 6 × 164 = $984.
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Q8.The present ages of two people are in the ratio 5:3. After 7 years the sum of their ages will be 46. What is the present age of the elder person?
Show answer & explanation
Answer: D — 20 years
Let ages be 5x and 3x. After 7 years: 5x + 7 + 3x + 7 = 46 → 8x = 32 → x = 4. Elder = 5×4 = 20 years.
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Q9.$2,010 is divided between A and B in the ratio 1:4. What is B’s share?
Show answer & explanation
Answer: D — $1,608
Total parts = 1 + 4 = 5; one part = 2,010/5 = 402; second share = 4 × 402 = $1,608.
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Q10.$2,052 is divided between A and B in the ratio 4:2. What is B’s share?
Show answer & explanation
Answer: B — $684
Total parts = 4 + 2 = 6; one part = 2,052/6 = 342; second share = 2 × 342 = $684.
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 SHL Numerical Reasoning
SHL-style Numerical & Verbal Reasoning practice — conducted by Practice in the style of graduate employer aptitude tests; not affiliated with SHL. Practice for the timed numerical and verbal reasoning tests that graduate employers use in screening.
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.
SHL Numerical Reasoning practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |