Practice Questions
Concept Explanation
To compare ratios, convert them to the same form — usually simplest form or decimal value of the first term divided by the second.
Compare 3 : 5 and 4 : 7: 3/5 = 0.6 and 4/7 ≈ 0.57, so 3 : 5 is larger.
For sharing problems, the ratio with the larger first term (for same second term) gives the larger first share.
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Q1 Easy
Which ratio is greater: 3 : 5 or 4 : 7?
Explanation3/5 = 0.6 > 4/7 ≈ 0.571. -
Q2 Medium
Which is the largest ratio?
Explanation5/8 = 0.625 is the largest. -
Q3 Medium
Which ratio is smallest?
Explanation3/8 = 0.375 is smallest. -
Q4 Easy
Compare 5 : 6 and 7 : 8. Which is greater?
Explanation5/6 ≈ 0.833; 7/8 = 0.875. -
Q5 Medium
Arrange ascending: (i) 2:3 (ii) 3:4 (iii) 5:6
Explanation2/3 < 3/4 < 5/6. -
Q6 Hard
Which gives a larger first share when total is split?
ExplanationAll simplify to 1 : 2, so first share is one-third of total each. -
Q7 Medium
Ratio of A is 4:5 and B is 5:6. Who gets larger share of same total in 4:5 vs 5:6 split?
Explanation4/9 ≈ 0.444; 5/11 ≈ 0.454. B ratio first part is slightly larger.
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Q8 Easy
Which ratio exceeds 1 : 1?
Explanation7 : 6 > 1 : 1. -
Q9 Easy
Compare 9 : 12 and 12 : 16. They are:
ExplanationBoth equal 3 : 4. -
Q10 Medium
Which ratio is closest to 1 : 1?
Explanation11/12 ≈ 0.917 is closest to 1. -
Q11 Hard
If 2 : x > 3 : 5, then x is:
Explanation2/x > 3/5 → 10 > 3x → x < 10/3. -
Q12 Hard
Larger ratio between 7:9 and 8:11?
Explanation7/9 ≈ 0.778; 8/11 ≈ 0.727. -
Q13 Easy
Which is greater: 5/8 or 3/5?
Explanation5/8 = 0.625; 3/5 = 0.6. -
Q14 Easy
Ratio 15:20 compared to 9:12:
ExplanationBoth equal 3 : 4.
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DS1 Easy
Is ratio A greater than ratio B?
Statement IRatio A is 5 : 8.
Statement IIRatio B is 3 : 5.
Explanation5/8 = 0.625; 3/5 = 0.6. Both needed to compare. -
DS2 Medium
Which ratio is larger?
Statement IFirst ratio is 7 : 9.
Statement IISecond ratio is 4 : 5.
Explanation7/9 ≈ 0.778; 4/5 = 0.8. Together B is larger.
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DS3 Easy
Is the ratio greater than 1 : 2?
Statement IThe ratio is 3 : 8.
Statement IIThe ratio simplifies to 3 : 8.
ExplanationEach alone: 3/8 < 1/2. -
DS4 Medium
Are the two ratios equal?
Statement IFirst ratio simplifies to 2 : 3.
Statement IISecond ratio is 10 : 15.
ExplanationEach alone identifies 2 : 3.