Q1
Not Answered
NATIVE
Q1. Simplify the ratio 26:10.
Divide both terms by GCD 2. So 26:10 = 13:5.
Home / General Aptitude / Ratio & Proportion
General Aptitude
Ratio & Proportion
Build ratio and proportion accuracy with direct, inverse, and comparison-based aptitude questions.
About Ratio & Proportion
Ratio and Proportion form the backbone of many quantitative problems in aptitude tests. A ratio compares two or more quantities of the same kind, while proportion establishes that two ratios are equal. Key concepts include direct proportion (as one increases, the other increases), inverse proportion (as one increases, the other decreases), and compound ratios. Common exam questions involve dividing amounts in a given ratio, finding unknown quantities from ratio relationships, and solving age-based or mixture-based ratio problems. The technique of introducing a common multiplier (x) is the most reliable approach. Below are solved questions covering all major ratio and proportion patterns.
Key Takeaways
- Always introduce a common multiplier (x) when working with ratio problems.
- Sum of ratio parts × x gives the total; difference of ratio parts × x gives the difference.
- For compound ratios a:b and b:c: cross-multiply to get a:c.
- Units must match when comparing through ratios.
Frequently Asked Questions
How do I solve ratio problems?
Let the quantities be expressed as multiples of a common variable. For ratio a:b, let the values = a×x and b×x. Use the given total, sum, or difference to find x, then multiply to get actual values.
What is the difference between ratio and proportion?
A ratio compares two quantities (e.g., a:b). A proportion states that two ratios are equal (e.g., a:b :: c:d, meaning a/b = c/d). In a proportion, cross-multiplying gives ad = bc.
How do I divide a number in a given ratio?
Sum the ratio terms. Each share = Total × (ratio term ÷ sum of ratios). For ratio 2:3:5 with total 100, shares are 20, 30, and 50.
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Q2
Not Answered
NATIVE
Q2. If A:B = 7:7 and A = 56, what is B?
Scale factor = 56/7 = 8. So B = 7 x 8 = 56.
Q3
Not Answered
NATIVE
Q3. Simplify the ratio 20:17.
Divide both terms by GCD 1. So 20:17 = 20:17.
Q4
Not Answered
NATIVE
Q4. If A:B = 4:7 and A = 16, what is B?
Scale factor = 16/4 = 4. So B = 7 x 4 = 28.
Q5
Not Answered
NATIVE
Q5. Simplify the ratio 13:10.
Divide both terms by GCD 1. So 13:10 = 13:10.
Q6
Not Answered
NATIVE
Q6. If A:B = 8:4 and A = 104, what is B?
Scale factor = 104/8 = 13. So B = 4 x 13 = 52.
Q7
Not Answered
NATIVE
Q7. Two numbers are in the ratio 4:3. If their sum is 91, find the first number.
One part = 91/(7) = 13. First number = 4 x 13 = 52.
Q8
Not Answered
NATIVE
Q8. Simplify the ratio 12:5.
Divide both terms by GCD 1. So 12:5 = 12:5.
Q9
Not Answered
NATIVE
Q9. If A:B = 5:6 and A = 45, what is B?
Scale factor = 45/5 = 9. So B = 6 x 9 = 54.
Q10
Not Answered
NATIVE
Q10. Simplify the ratio 9:17.
Divide both terms by GCD 1. So 9:17 = 9:17.
Q11
Not Answered
NATIVE
Q11. If A:B = 9:5 and A = 63, what is B?
Scale factor = 63/9 = 7. So B = 5 x 7 = 35.
Q12
Not Answered
NATIVE
Q12. Two numbers are in the ratio 3:3. If their sum is 96, find the first number.
One part = 96/(6) = 16. First number = 3 x 16 = 48.
Q13
Not Answered
NATIVE
Q13. If A:B = 3:6 and A = 15, what is B?
Scale factor = 15/3 = 5. So B = 6 x 5 = 30.
Q14
Not Answered
NATIVE
Q14. Two numbers are in the ratio 7:8. If their sum is 165, find the first number.
One part = 165/(15) = 11. First number = 7 x 11 = 77.
Q15
Not Answered
NATIVE
Q15. If A:B = 7:5 and A = 77, what is B?
Scale factor = 77/7 = 11. So B = 5 x 11 = 55.
Q16
Not Answered
NATIVE
Q16. Two numbers are in the ratio 5:6. If their sum is 198, find the first number.
One part = 198/(11) = 18. First number = 5 x 18 = 90.
Q17
Not Answered
NATIVE
Q17. If A:B = 6:6 and A = 72, what is B?
Scale factor = 72/6 = 12. So B = 6 x 12 = 72.
Q18
Not Answered
NATIVE
Q18. Two numbers are in the ratio 2:5. If their sum is 63, find the first number.
One part = 63/(7) = 9. First number = 2 x 9 = 18.
Q19
Not Answered
NATIVE
Q19. If A:B = 5:8 and A = 20, what is B?
Scale factor = 20/5 = 4. So B = 8 x 4 = 32.
Q20
Not Answered
NATIVE
Q20. Two numbers are in the ratio 5:3. If their sum is 104, find the first number.
One part = 104/(8) = 13. First number = 5 x 13 = 65.
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Ratio & Proportion Formula, shortcuts & preparation guide
Master ratio & proportion with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.
Key formulas
- Ratio a:b = a/b
- Compounding ratios: a:b × b:c = a:c
Ratio & Proportion Practice Questions with Answers
Build speed and accuracy with curated ratio & proportion practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.
How to prepare effectively for this topic?
Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.
Are these questions useful for placements and competitive exams?
Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.