Practice Questions
Concept Explanation
Ratio DS problems test whether statements fix quantities in a given ratio or proportional relationship.
Standard Answer Choices
- A — Statement I alone is sufficient; Statement II alone is not.
- B — Statement II alone is sufficient; Statement I alone is not.
- C — Both together are sufficient, neither alone.
- D — Either statement alone is sufficient.
- E — Neither alone nor together is sufficient.
Ratio DS Focus
Convert ratios to parts, use multiplier k, and check whether statements give k or enough totals.
Common Traps in Ratio Problems
- Adding ratios without a common total.
- Confusing ratio with actual count.
- Assuming proportionality across unrelated quantities.
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Q1 Easy
Ratio 3 : 5; if smaller part is 24, larger part is:
Explanation3 parts = 24 ⇒ 1 part = 8; 5 parts = 40. -
Q2 Easy
Divide Rs. 420 in ratio 2 : 5. Larger share is:
ExplanationTotal parts = 7; larger = (5/7) × 420 = 300. -
Q3 Easy
If a/b = 4/7 and b = 35, then a =
Explanationa = (4/7) × 35 = 20. -
Q4 Easy
Ratio of boys to girls is 5 : 3. If there are 40 boys, number of girls is:
Explanation5 parts = 40 ⇒ 1 part = 8; girls = 24. -
Q5 Medium
Two numbers are in ratio 7 : 9 and their sum is 128. Larger number is:
Explanation16 parts = 128 ⇒ 1 part = 8; larger = 72. -
Q6 Medium
For “What is total T?” — I: A : B = 2 : 3; II: A = 40. DS answer?
ExplanationI gives ratio only. II gives A only. Together: B = 60, T = 100. -
Q7 Medium
If x : y : z = 2 : 3 : 5 and x + y + z = 100, then z =
Explanation10 parts = 100 ⇒ z = 50.
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Q8 Hard
Duplicate ratio of 4 : 5 is:
ExplanationDuplicate ratio = 4² : 5² = 16 : 25. -
Q9 Medium
If 3 workers finish a job in 12 days, 6 workers finish in:
ExplanationWorkers × days constant: 3 × 12 = 6 × 6. -
Q10 Medium
Mean proportional of 9 and 16 is:
Explanation√(9 × 16) = 12. -
Q11 Easy
Rs. 1,200 split among A, B, C in ratio 1 : 2 : 3. B gets:
Explanation6 parts = 1200; B = 2 parts = 400. -
Q12 Easy
If 2 : 3 = x : 15, then x =
Explanationx/15 = 2/3 ⇒ x = 10. -
Q13 Hard
For “What is A : B?” — I: A = 30, B = 45; II: A is two-thirds of B. DS answer?
ExplanationI: 30 : 45 = 2 : 3. II: A/B = 2/3. Each alone gives 2 : 3. -
Q14 Medium
Income ratio of P and Q is 5 : 7. If P earns Rs. 35,000, Q earns:
Explanation5 parts = 35,000 ⇒ Q = 7 × 7,000 = 49,000.
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DS1 Easy
What is the total of two parts in ratio 2 : 3?
Statement IThe smaller part is 40.
Statement IIThe larger part is 60.
ExplanationStatement I: total = 100. Statement II: total = 100. -
DS2 Medium
What is x if x : y = 3 : 4?
Statement Iy = 32.
Statement IIx + y = 56.
ExplanationStatement I: x = (3/4) × 32 = 24. Statement II alone gives sum 56 without ratio—many pairs possible.
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DS3 Easy
What is the third proportional to 4 and 10?
Statement I4, 10, and x are in continued proportion.
Statement IIx = 25.
ExplanationThird proportional = 10²/4 = 25. Each statement alone gives x = 25. -
DS4 Medium
How many boys are in a class?
Statement IBoys : girls = 5 : 4.
Statement IITotal students = 45.
ExplanationTogether: boys = (5/9) × 45 = 25. Neither alone gives the count.