Practice Questions
Concept Explanation
Two ratios are equivalent if they represent the same relationship — they simplify to the same lowest form, or one can be obtained by multiplying/dividing both terms of the other by the same non-zero number.
Example: 2 : 3 = 4 : 6 = 10 : 15.
Test for Equivalence
Cross-multiply: a : b = c : d if a × d = b × c.
Finding Missing Term
If 3 : 5 = x : 20, then 3 × 20 = 5x → x = 12.
-
Q1 Easy
Which ratio is equivalent to 2 : 5?
Explanation2 : 5 = 6 : 15 when both terms are multiplied by 3. -
Q2 Easy
3 : 4 is equivalent to:
ExplanationMultiply 3 : 4 by 4 to get 12 : 16. -
Q3 Easy
If 5 : 8 = x : 24, then x is:
Explanation5 × 24 = 8x → x = 15. -
Q4 Medium
Which is NOT equivalent to 4 : 7?
Explanation20 : 30 = 2 : 3, not 4 : 7. -
Q5 Easy
7 : 9 = 21 : y. Find y.
Explanation7 × y = 9 × 21 → y = 27. -
Q6 Medium
Express 0.75 : 1 in simplest integer ratio.
Explanation0.75 : 1 = 3/4 : 1 = 3 : 4. -
Q7 Medium
Which pair is equivalent to 5 : 12?
Explanation5 : 12 × 3 = 15 : 36.
-
Q8 Easy
If 2 : 3 = 8 : x, x equals:
Explanation2x = 24 → x = 12. -
Q9 Easy
Ratio 18 : 24 is equivalent to:
ExplanationDivide by 6: 3 : 4. -
Q10 Hard
If a : b = 3 : 7 and b : c = 14 : 5, then a : c is:
ExplanationMake b equal: a : b : c = 6 : 14 : 5 → a : c = 6 : 5. -
Q11 Hard
Which ratio equals 1/3 : 1/2?
ExplanationMultiply by 6: 2 : 3. -
Q12 Easy
5 : 6 = 25 : ?
Explanation5 × ? = 6 × 25 → ? = 30. -
Q13 Medium
If 4 : 9 = x : 45, x is:
Explanation4 × 45 = 9x → x = 20. -
Q14 Medium
Two ratios 8 : 12 and 14 : 21 are:
ExplanationBoth simplify to 2 : 3.
-
DS1 Easy
Are the two ratios equivalent?
Statement IThe ratios are 6 : 10 and 9 : 15.
Statement IIBoth ratios simplify to 3 : 5.
ExplanationEach statement alone confirms equivalence to 3 : 5. -
DS2 Easy
What is the missing term x?
Statement I3 : 5 = x : 40.
Statement IIx is an even number less than 30.
ExplanationStatement I: x = 24.
-
DS3 Medium
What is the simplest form of the ratio?
Statement IThe ratio is 48 : 72.
Statement IIBoth terms are divisible by 24.
ExplanationStatement I alone gives 2 : 3. -
DS4 Medium
Is the ratio equivalent to 4 : 7?
Statement IThe ratio is 20 : 35.
Statement IIThe ratio is 12 : 21.
ExplanationEach alone simplifies to 4 : 7.