Practice Questions
Concept Explanation
Ratio-based DI compares quantities using ratios. Data may give explicit ratios or values from which ratios are derived.
Key Techniques
- Write ratio as a : b and use parts (ax, bx).
- Total parts = sum of ratio terms.
- One part value = total ÷ total parts.
Example
Ratio 2 : 3 : 5 and total 500. One part = 500/10 = 50. Middle share = 3 × 50 = 150.
Common Trap
Ratio 2 : 3 is not the same as 2/3 unless you mean the fraction of the whole.
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Q1 Easy
Sales ratio A : B = 3 : 5. If A = 90, then B =
Explanation90/3 = 30 per part. B = 5 × 30 = 150. -
Q2 Medium
Ratio of boys : girls = 4 : 6. If boys = 200, total students =
ExplanationOne part = 50. Total parts = 10. Total = 500. -
Q3 Medium
Three products in ratio 2 : 3 : 5; total 400 units. Middle product units =
ExplanationOne part = 40. Middle = 3 × 40 = 120. -
Q4 Easy
Income ratio P : Q = 5 : 8. If P = Rs. 250, Q =
Explanation250/5 = 50. Q = 8 × 50 = 400. -
Q5 Medium
Mixture ratio milk : water = 7 : 3. Total 40 L. Milk quantity is:
ExplanationMilk = (7/10) × 40 = 28 L. -
Q6 Easy
Expenses ratio rent : food : travel = 2 : 3 : 5. Total Rs. 1000. Food expense is:
ExplanationFood = (3/10) × 1000 = 300. -
Q7 Medium
Two cities sold in ratio 5 : 9; total 280. Larger city sold:
ExplanationOne part = 20. Larger = 9 × 20 = 180.
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Q8 Medium
Ratio 1 : 2 : 4; largest share of total 700 is:
ExplanationOne part = 100. Largest = 4 × 100 = 400. -
Q9 Hard
A : B = 3 : 4 and B : C = 8 : 9. A : C is:
ExplanationA:B = 3:4 = 6:8; B:C = 8:9. So A:C = 6:9 = 2:3. -
Q10 Easy
Table: X = 60, Y = 90. Simplest ratio X : Y is:
Explanation60 : 90 = 2 : 3. -
Q11 Easy
Ratio of profits 2020 : 2021 = 4 : 5. If 2020 profit = Rs. 320 lakh, 2021 profit =
Explanation320/4 = 80. 2021 = 5 × 80 = 400 lakh. -
Q12 Hard
Three departments ratio 5 : 6 : 7; total Rs. 900 lakh. Largest dept gets:
ExplanationTotal parts = 18. One part = 50. Largest = 7 × 50 = 350 lakh. -
Q13 Medium
Votes ratio for P : Q = 7 : 5; total 4800. P’s votes =
ExplanationP = (7/12) × 4800 = 2800. -
Q14 Hard
If ratio 3 : 5 and difference between parts is 40, total is:
Explanation2 parts = 40, so 1 part = 20. Total 8 parts = 160.
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DS1 Easy
What is B if A : B = 3 : 5 and A = 90?
Statement IRatio A : B = 3 : 5.
Statement IIA = 90.
ExplanationNeed both ratio and A: B = 150. -
DS2 Medium
What is the middle share in ratio 2 : 3 : 5 with total 400?
Statement IRatio is 2 : 3 : 5.
Statement IITotal = 400.
ExplanationNeed both: middle = 120.
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DS3 Medium
What is milk volume in ratio 7 : 3 with total 40 L?
Statement IMilk : water = 7 : 3.
Statement IITotal mixture = 40 L.
ExplanationNeed both: milk = 28 L. -
DS4 Hard
What is total if ratio 3 : 5 and difference is 40?
Statement IRatio = 3 : 5.
Statement IIDifference between shares = 40.
ExplanationNeed both: 2 parts = 40, total 8 parts = 160.