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Ratio and Proportion Questions for SSC, Bank & Railway Exams: 48 Free Practice Tests

Ratio and proportion covers direct ratios, proportions, partnership and mixture/alligation questions. It is tested in SSC and bank quant and is used inside many DI sets.

Most questions are solved by taking the ratio terms as multiples of a common unit (3x : 5x).

Free tests
48
Questions
1,020
Exams
10

Ratio and Proportion: Key formulas

  • If a : b = c : d, then a × d = b × c.
  • Mean proportional of a and b = √(a × b); third proportional to a and b = b² ÷ a; fourth proportional to a, b, c = (b × c) ÷ a.
  • To combine a : b and b : c, make the common term equal, then write a : b : c.
  • Partnership: profit is shared in the ratio of (capital × time) of each partner.
  • Alligation: (Cheaper : Dearer) quantity = (Dearer price − Mean price) : (Mean price − Cheaper price).

SSC CGL Ratio and Proportion Questions (11 tests)

173 questions, timed like the SSC CGL paper, with instant score.

SSC CHSL Ratio and Proportion Questions (4 tests)

60 questions, timed like the SSC CHSL paper, with instant score.

SSC MTS Ratio and Proportion Questions (2 tests)

30 questions, timed like the SSC MTS paper, with instant score.

SSC GD Ratio and Proportion Questions (3 tests)

45 questions, timed like the SSC GD paper, with instant score.

SBI PO Ratio and Proportion Questions (3 tests)

40 questions, timed like the SBI PO paper, with instant score.

SBI Clerk Ratio and Proportion Questions (9 tests)

300 questions, timed like the SBI Clerk paper, with instant score.

IBPS PO Ratio and Proportion Questions (6 tests)

131 questions, timed like the IBPS PO paper, with instant score.

IBPS Clerk Ratio and Proportion Questions (7 tests)

196 questions, timed like the IBPS Clerk paper, with instant score.

RRB NTPC Ratio and Proportion Questions (2 tests)

30 questions, timed like the RRB NTPC paper, with instant score.

RRB Group D Ratio and Proportion Questions (1 test)

15 questions, timed like the RRB Group D paper, with instant score.

Ratio and Proportion Notes and Tricks

Ratio and Proportion Questions: FAQs

How many free ratio and proportion tests are on BookOfExams?

48 tests with 1,020 questions in total, across 10 exams. The count updates whenever a new test is added.

How do I split an amount in a ratio?

Divide the amount by the sum of the ratio terms to get one part, then multiply by each term.

When is alligation used?

When two items of different prices or concentrations are mixed and you need the mixing ratio or the mean value.

Do these tests have solutions?

Yes. Every test shows your score and accuracy as soon as you submit, with a step-by-step solution for each question after a free sign-in.

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