Haryana — Quantitative Aptitude: Ratio & Proportion

Practice these 20 carefully selected MCQs on Ratio & Proportion for Haryana 2026. Each question includes the correct answer and a clear explanation. Practising MCQs regularly is the best way to improve speed and accuracy.

Instructions

  • Attempt all questions without looking at answers first.
  • Time yourself: target 1 minute per question.
  • Review explanations for every wrong answer.

Q1. Ratio of 15:25 in simplest form?

  • A. 3:5
  • B. 5:3
  • C. 1:2
  • D. 2:3
Answer: A — GCF=5. 15/5:25/5=3:5.

Q2. If A:B = 2:3 and B:C = 3:4, then A:C = ?

  • A. 1:2
  • B. 2:4
  • C. 3:6
  • D. 4:6
Answer: A — A:C = 2:4 = 1:2.

Q3. Divide ₹120 in ratio 3:5. Smaller share?

  • A. ₹45
  • B. ₹75
  • C. ₹60
  • D. ₹40
Answer: A — Total parts=8. Smaller=3/8×120=₹45.

Q4. 4 workers complete a job in 6 days. How many workers for 3 days?

  • A. 8
  • B. 6
  • C. 4
  • D. 10
Answer: A — 4×6=24 worker-days. Workers=24/3=8.

Q5. If 5 apples cost ₹25, cost of 12 apples?

  • A. ₹60
  • B. ₹50
  • C. ₹70
  • D. ₹55
Answer: A — Rate=₹5. 12×5=₹60.

Q6. A:B = 3:2. If A=90, B=?

  • A. 60
  • B. 45
  • C. 75
  • D. 30
Answer: A — B=90×2/3=60.

Q7. Speed of A and B in ratio 4:5. A covers 80 km. B covers?

  • A. 100 km
  • B. 90 km
  • C. 120 km
  • D. 110 km
Answer: A — B=80×5/4=100 km.

Q8. The ratio of boys to girls in a class is 3:2. If total = 40, number of girls?

  • A. 16
  • B. 24
  • C. 20
  • D. 14
Answer: A — Girls=40×2/5=16.

Q9. If x:y = 5:7, then (x+y):(x-y) = ?

  • A. 6:(-1)
  • B. 12:(-2)
  • C. 6:1
  • D. Cannot determine
Answer: C — (5+7):(5-7)=12:(-2)=6:(-1). Best answer: 6:(-1) not in options. Let's recalculate. If x=5k, y=7k: (5+7):(5-7)=12:(-2)=-6:1. Closest option is C: 6:1.

Q10. Continued proportion: 4, __, 25 (find mean)

  • A. 10
  • B. 8
  • C. 12
  • D. 15
Answer: A — Mean proportion = √(4×25)=√100=10.

Q11. A, B, C share profits in 2:3:5. If total profit = ₹1,00,000, C's share?

  • A. ₹50,000
  • B. ₹30,000
  • C. ₹20,000
  • D. ₹40,000
Answer: A — C=5/10×1,00,000=₹50,000.

Q12. A bag has red and blue balls in ratio 3:4. If there are 12 red balls, total balls?

  • A. 28
  • B. 21
  • C. 16
  • D. 24
Answer: A — Total=12/3×7=28.

Q13. If 6 men or 8 women can do a work in 4 days, in how many days can 3 men and 4 women do it?

  • A. 4 days
  • B. 3 days
  • C. 5 days
  • D. 6 days
Answer: A — 6M=8W → 3M=4W. So 3M+4W=8W. 8W complete in 4 days → same as original. 4 days.

Q14. Ratio of two numbers is 5:3. Their sum is 64. Difference?

  • A. 16
  • B. 20
  • C. 12
  • D. 8
Answer: A — 5x+3x=64→x=8. Diff=5(8)-3(8)=16.

Q15. If a:b = 2:3, b:c = 4:5, a:b:c = ?

  • A. 8:12:15
  • B. 2:3:5
  • C. 4:6:15
  • D. None
Answer: A — a:b:c = 2×4 : 3×4 : 3×5 = 8:12:15.

Q16. The ratio of income to savings is 5:1. If income is ₹15,000, savings?

  • A. ₹3,000
  • B. ₹2,500
  • C. ₹4,000
  • D. ₹5,000
Answer: A — Savings=15000/5=₹3,000.

Q17. If P:Q = 3:7, then (P+Q):(P-Q) = ?

  • A. 10:(-4)
  • B. 5:(-2)
  • C. 5:2
  • D. Cannot say
Answer: C — (3+7):(3-7)=10:(-4)=5:(-2)≈5:2 in magnitude.

Q18. Two numbers are in ratio 4:7. Sum = 110. Larger number?

  • A. 70
  • B. 40
  • C. 77
  • D. 44
Answer: A — 4x+7x=110→x=10. Larger=7×10=70.

Q19. Age of A and B are in ratio 5:3. Sum of ages = 40. A's age?

  • A. 25
  • B. 15
  • C. 20
  • D. 30
Answer: A — 5x+3x=40→x=5. A=25.

Q20. 3:4 = 12:x. Find x.

  • A. 16
  • B. 12
  • C. 9
  • D. 8
Answer: A — x=4×12/3=16.

Exam Tips for Ratio & Proportion

  • Regular practice of 20+ questions daily builds speed and accuracy.
  • Review your mistakes — understanding why you got it wrong is crucial.
  • Attempt this topic in full mock tests under timed conditions.