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Competitive Exam Practice

SBI Clerk Ratio, Ages & Mixtures Questions

Practise ratio, ages & mixtures (quantitative aptitude) for the SBI Junior Associate (Customer Support & Sales) Examination: 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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  1. Q1.The present ages of two people are in the ratio 3:1. After 5 years the sum of their ages will be 30. What is the present age of the elder person?

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    Answer: C — 15 years

    Let ages be 3x and 1x. After 5 years: 3x + 5 + 1x + 5 = 30 → 4x = 20 → x = 5. Elder = 3×5 = 15 years.

  2. Q2.₹2,420 is divided between A and B in the ratio 4:6. What is B’s share?

    Show answer & explanation

    Answer: C — ₹1,452

    Total parts = 4 + 6 = 10; one part = 2,420/10 = 242; second share = 6 × 242 = ₹1,452.

  3. Q3.In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg to get a mixture worth ₹50/kg?

    Show answer & explanation

    Answer: C — 1:1

    Alligation: (dearer − mean) : (mean − cheaper) = (60 − 50) : (50 − 40) = 10:10 = 1:1.

  4. Q4.The present ages of two people are in the ratio 3:2. After 10 years the sum of their ages will be 70. What is the present age of the elder person?

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    Answer: C — 30 years

    Let ages be 3x and 2x. After 10 years: 3x + 10 + 2x + 10 = 70 → 5x = 50 → x = 10. Elder = 3×10 = 30 years.

  5. Q5.In what ratio must rice at ₹40/kg be mixed with rice at ₹90/kg to get a mixture worth ₹60/kg?

    Show answer & explanation

    Answer: D — 3:2

    Alligation: (dearer − mean) : (mean − cheaper) = (90 − 60) : (60 − 40) = 30:20 = 3:2.

  6. Q6.In what ratio must rice at ₹70/kg be mixed with rice at ₹150/kg to get a mixture worth ₹130/kg?

    Show answer & explanation

    Answer: D — 1:3

    Alligation: (dearer − mean) : (mean − cheaper) = (150 − 130) : (130 − 70) = 20:60 = 1:3.

  7. Q7.The present ages of two people are in the ratio 5:4. After 7 years the sum of their ages will be 86. What is the present age of the elder person?

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    Answer: B — 40 years

    Let ages be 5x and 4x. After 7 years: 5x + 7 + 4x + 7 = 86 → 9x = 72 → x = 8. Elder = 5×8 = 40 years.

  8. Q8.₹3,830 is divided between A and B in the ratio 6:4. What is B’s share?

    Show answer & explanation

    Answer: A — ₹1,532

    Total parts = 6 + 4 = 10; one part = 3,830/10 = 383; second share = 4 × 383 = ₹1,532.

  9. Q9.The present ages of two people are in the ratio 3:2. After 8 years the sum of their ages will be 46. What is the present age of the elder person?

    Show answer & explanation

    Answer: A — 18 years

    Let ages be 3x and 2x. After 8 years: 3x + 8 + 2x + 8 = 46 → 5x = 30 → x = 6. Elder = 3×6 = 18 years.

  10. Q10.In what ratio must rice at ₹60/kg be mixed with rice at ₹110/kg to get a mixture worth ₹70/kg?

    Show answer & explanation

    Answer: A — 4:1

    Alligation: (dearer − mean) : (mean − cheaper) = (110 − 70) : (70 − 60) = 40:10 = 4:1.

Free SBI Clerk Ratio, Ages & Mixtures Questions by pGento

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 SBI Clerk

SBI Junior Associate (Customer Support & Sales) Examination — conducted by State Bank of India (SBI). Recruits Junior Associates for SBI branches; the local language test applies by state.

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.

SBI Clerk practice topics

TopicSectionQuestion source
Number System & SimplificationQuantitative aptitudeCalculated (new numbers every set)
Ratio, Ages & MixturesQuantitative aptitudeCalculated (new numbers every set)
Logical ReasoningReasoningCalculated (new numbers every set)
English GrammarEnglishQuestion bank
Vocabulary & IdiomsEnglishQuestion bank
Economy & Banking AwarenessGeneral awarenessQuestion bank

Frequently asked questions

The present ages of two people are in the ratio 3:1. After 5 years the sum of their ages will be 30. What is the present age of the elder person?
Answer: C — 15 years. Let ages be 3x and 1x. After 5 years: 3x + 5 + 1x + 5 = 30 → 4x = 20 → x = 5. Elder = 3×5 = 15 years.
₹2,420 is divided between A and B in the ratio 4:6. What is B’s share?
Answer: C — ₹1,452. Total parts = 4 + 6 = 10; one part = 2,420/10 = 242; second share = 6 × 242 = ₹1,452.
In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg to get a mixture worth ₹50/kg?
Answer: C — 1:1. Alligation: (dearer − mean) : (mean − cheaper) = (60 − 50) : (50 − 40) = 10:10 = 1:1.
Are these real past exam papers?
No. Every question is an original practice question written in the style, syllabus and difficulty of the exam, with a worked explanation. The site is not affiliated with any exam body.
SBI Clerk Ratio, Ages & Mixtures Questions

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