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Quantitative practice

Ratio and Proportion Questions with Answers

Dividing quantities in a ratio, compound ratios, and proportion problems that hide a shared multiplier. This page pools every ratio and proportion question on the site — 224 of them, from 50 exams, weighted towards Banking, Management, Railways — so you can drill the topic on its own instead of meeting four of them inside a full paper.

13% of the pool is graded hard on this site’s own scale and 24% easy, which is about average for this section.

Questions
224
Practice set
25 in 25 min
Difficulty
53/142/29
Negative marking
None
Start Ratio and Proportion practice

Ratio and Proportion questions with solutions

6 from the 224-question pool, worked in full.

  1. 1. Two numbers are in the ratio 5:7. If their sum is 96, find the smaller number.

    • A. 35
    • B. 40 ✓
    • C. 45
    • D. 56

    Solution. Total parts = 5+7 = 12. Each part = 96/12 = 8. Smaller number = 5 × 8 = 40.

  2. 2. Two numbers are in the ratio 7:9. If their sum is 128, find the larger number.

    • A. 72 ✓
    • B. 70
    • C. 74
    • D. 76

    Solution. Total parts = 7 + 9 = 16. Larger number = 128 × 9/16 = 72.

  3. 3. Two numbers are in the ratio 7:9. If their sum is 384, find the larger number.

    • A. 206
    • B. 212
    • C. 216 ✓
    • D. 222

    Solution. Total parts = 7 + 9 = 16. The larger number = (9/16) × 384 = 216.

  4. 4. Two numbers are in the ratio 4:5. If their sum is 108, find the larger number.

    • A. 54
    • B. 56
    • C. 58
    • D. 60 ✓

    Solution. Total parts = 4 + 5 = 9. Larger number = 108 × 5/9 = 60.

  5. 5. ₹840 is divided between two people in the ratio 5:7. Find the smaller share.

    • A. ₹330
    • B. ₹350 ✓
    • C. ₹340
    • D. ₹360

    Solution. Total parts = 5 + 7 = 12. The smaller share = (5/12) × 840 = ₹350.

  6. 6. If A:B = 3:4 and B:C = 5:6, what is A:B:C?

    • A. 15:20:24 ✓
    • B. 12:16:20
    • C. 15:16:20
    • D. 3:4:6

    Solution. A:B = 3:4 = 15:20 (multiplying by 5). B:C = 5:6 = 20:24 (multiplying by 4). So A:B:C = 15:20:24.

Exams that set Ratio and Proportion

10 categories, led by Banking, Management, Railways.

Also set by IBPS SO, IBSAT, IMU-CET, IPMAT Indore, KMAT Karnataka, KSDAT, LIC AAO, MAT, MH CET Law, MICAT, NABARD Grade A, Navy SSR, NIACL AO, NIFT, NMAT, RBI Assistant, RBI Grade B, RPF Constable, RPF Sub-Inspector, RRB ALP, RRB Group D, RRB Junior Engineer, RRB NTPC, RRB Paramedical, RRB Technician, SBI Clerk, SBI PO, SEBI Grade A, SIDBI Grade A & B, SNAP, SSC CGL, SSC CHSL, SSC CPO, SSC GD Constable, SSC MTS, TANCET MBA, UPSC CSE, Uttarakhand JEEP. Browse all exams.

Ratio and Proportion: frequently asked questions

How many ratio and proportion questions are there?

224, from the 50 exams here whose syllabus sets the topic. 24% are graded easy and 13% hard, which makes ratio and proportion about average for this section, where the mean is 17%.

Which exams ask ratio and proportion questions?

50 of the exams on this site, weighted towards Banking (14), Management (10), Railways (8). Every question in this pool comes from one of their own mock tests, so the list below is the honest answer to whether the topic is worth your time.

Is ratio and proportion hard?

13% of these 224 questions are graded hard and 24% easy, making it about average for this section, where the mean is 17%.

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