Practice Questions
Concept Explanation
A compound ratio combines two or more ratios by multiplying corresponding terms.
If a : b and c : d, compound ratio = ac : bd.
For three ratios a:b, c:d, e:f → compound = ace : bdf.
Used when linking two relationships (e.g. men:wages and days:pay).
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Q1 EasyThe compound ratio of 2 : 3 and 4 : 5 is:ExplanationCompound ratio = 2×4 : 3×5 = 8 : 15.
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Q2 EasyThe compound ratio of 3 : 4 and 5 : 6 is:Explanation3×5 : 4×6 = 15 : 24.
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Q3 EasyThe compound ratio of 4 : 5 and 5 : 4 is:Explanation4×5 : 5×4 = 20 : 20 = 1 : 1.
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Q4 MediumIf a : b = 2 : 3 and b : c = 4 : 5, then a : c is:Explanationa : b : c = 8 : 12 : 15 → a : c = 8 : 15.
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Q5 MediumIf p : q = 2 : 3 and q : r = 6 : 7, then p : r is:Explanationp : q : r = 4 : 6 : 7 → p : r = 4 : 7.
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Q6 MediumIf a : b = 5 : 6 and b : c = 9 : 10, then a : c equals:Explanationa : b : c = 15 : 18 : 20 → a : c = 15 : 20 = 3 : 4.
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Q7 MediumCompound of 2 : 5 and 10 : 3 simplifies to:Explanation2×10 : 5×3 = 20 : 15 = 4 : 3.
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Q8 MediumIf a : b = 7 : 8 and c : d = 8 : 7, the compound ratio ac : bd is:Explanationac : bd = 56 : 56 = 1 : 1.
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Q9 MediumIf men : wages = 4 : 5 and hours : pay = 3 : 2, the compound ratio of men to pay is:Explanation4×3 : 5×2 = 12 : 10 = 6 : 5.
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Q10 HardIf A : B = 3 : 4, B : C = 5 : 6 and C : D = 7 : 8, then A : D is:ExplanationA:D = (3/4)×(5/6)×(7/8) = 105/192.
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Q11 HardThe compound ratio of 3 : 4, 5 : 6 and 2 : 3 is:Explanation3×5×2 : 4×6×3 = 30 : 72 = 5 : 12.
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Q12 HardIf x : y = 3 : 4 and y : z = 8 : 9, then x : z is:Explanationx : y : z = 6 : 8 : 9 → x : z = 6 : 9 = 2 : 3.
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Q13 HardThree ratios 2 : 3, 4 : 5 and 1 : 2 compound to:Explanation2×4×1 : 3×5×2 = 8 : 30.
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Q14 HardThe compound ratio of 1 : 2, 3 : 4 and 2 : 3 is:Explanation1×3×2 : 2×4×3 = 6 : 24 = 1 : 4.
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DS1 Easy
In a ratio composition drill, what is the compound ratio?
Statement IThe first ratio is 3 : 5.
Statement IIThe second ratio is 2 : 3.
ExplanationTogether: compound = 6 : 15 = 2 : 5. -
DS2 Medium
What is a : c?
Statement Ia : b = 4 : 5.
Statement IIb : c = 10 : 9.
ExplanationTogether: a : b : c = 8 : 10 : 9 → a : c = 8 : 9.
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DS3 Medium
What is the compound ratio in simplest form?
Statement IThe ratios are 2 : 3 and 6 : 5.
Statement IIThe compound ratio equals 4 : 5.
Explanation2×6 : 3×5 = 12 : 15 = 4 : 5. Each statement confirms the result. -
DS4 Hard
Is the compound ratio greater than 1 : 1?
Statement IThe first ratio is 5 : 4.
Statement IIThe second ratio is 3 : 2.
ExplanationTogether: compound = 15 : 8 > 1 : 1.