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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 (246 of them, from 58 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.

12% of the pool is graded hard on this site’s own scale and 26% easy, which is about average for this section.

Questions
246
Practice set
25 in 25 min
Difficulty
63/154/29
Negative marking
None
Start Ratio and Proportion practice

Ratio and Proportion questions with solutions

6 from the 246-question pool, worked in full.

  1. 1. Cotton and polyester in a stock are in the ratio 7:5. After adding 6 kg of polyester, the ratio becomes 7:6. How much cotton was originally present?

    • A. 56 kg
    • B. 49 kg
    • C. 42 kg ✓
    • D. 35 kg

    Solution. Let original amounts be 7k and 5k. Then 7k/(5k+6)=7/6, giving 42k=35k+42, so k=6 and cotton=42 kg.

  2. 2. If a:b = 5:6 and b:c = 6:7, find a:b:c.

    • A. 5:6:7 ✓
    • B. 5:7:6
    • C. 6:5:7
    • D. 5:6:8

    Solution. Since the value of b already matches in both ratios (6 = 6), the ratios combine directly to give a:b:c = 5:6:7.

  3. 3. Simplify the ratio 64:96 to its lowest terms.

    • A. 2 : 3 ✓
    • B. 3 : 4
    • C. 4 : 5
    • D. 1 : 2

    Solution. Dividing both terms by their HCF, 32, gives 64:96 = 2:3.

  4. 4. A sum of ₹8,400 is divided among A, B and C so that A : B = 2 : 3 and B : C = 4 : 5. Find C's share.

    • A. ₹3,600 ✓
    • B. ₹2,880
    • C. ₹2,400
    • D. ₹3,150

    Solution. Scaling the first ratio by 4 and the second by 3 makes B common at 12, giving A : B : C = 8 : 12 : 15. The total is 35 parts, so one part is ₹240 and C receives 15 parts, that is ₹3,600.

  5. 5. In a self-help group of 54 members, the ratio of members engaged in dairy farming to those engaged in handicrafts is 5:4. How many members are engaged in dairy farming?

    • A. 24
    • B. 26
    • C. 28
    • D. 30 ✓

    Solution. Total parts = 5+4 = 9. Dairy farming members = (5/9) × 54 = 30.

  6. 6. Simplify the ratio 72:96 to its lowest terms.

    • A. 2 : 3
    • B. 4 : 5
    • C. 3 : 4 ✓
    • D. 1 : 2

    Solution. Dividing both terms by their HCF, 24, gives 72:96 = 3:4.

Exams that set Ratio and Proportion

11 categories, led by Banking, Management, Railways.

Also set by AEEE, AFCAT, ATMA, CA Foundation, CAT, CDS, CLAT, CMA Foundation, IBPS Clerk, IBPS PO, IBPS RRB Office Assistant, IBPS RRB Officer Scale I, IBPS SO, IBSAT, IMU-CET, IPMAT Indore, IPMAT Rohtak, JIPMAT, KMAT Karnataka, KSDAT, LIC AAO, MAT, MH CET Law, MICAT, MPPSC SSE, NABARD Grade A, Navy SSR, NIACL AO, NIFT, NMAT, OPSC OCS, 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, UKPSC PCS, UPPSC PCS, UPSC CSE, Uttarakhand JEEP, XAT. Browse all exams.

Ratio and Proportion: frequently asked questions

How many ratio and proportion questions are there?

246, from the 58 exams here whose syllabus sets the topic. 26% are graded easy and 12% hard, which makes ratio and proportion about average for this section, where the mean is 17%.

Which exams ask ratio and proportion questions?

58 of the exams on this site, weighted towards Banking (14), Management (13), 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?

12% of these 246 questions are graded hard and 26% easy, making it about average for this section, where the mean is 17%.

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