Quantitative Aptitude SSC MTS, SSC quantitative aptitude Free access now

Ratio and Proportion for SSC MTS | Concepts & Practice | SSC MTS Quantitative Aptitude

Build Ratio and Proportion accuracy for SSC MTS with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC MTS Quantitative Aptitude. Related topics: Percentage, Profit and Loss, Simple Interest.

SSC MTS approach: For SSC MTS, build this topic around the core rule and a repeatable direct method. The goal is to reduce hesitation and make basic decisions quickly and correctly.

What to master: Master straightforward forms thoroughly, then add only small variations. Repeated short drills are more useful here than complicated mixed sets too early.

SSC MTS focus:

Master the core rule for SSC MTS and convert it into quick, low-error solving for straightforward objective questions.

Attempt strategy: For SSC MTS, lock the basic rule first, solve with the most direct method, and use short repeated drills to improve speed without adding complexity.

Revision path: MTS revision: basic concept -> direct example -> repeated short drill -> final recall.

SSC MTS exam emphasis for Ratio and Proportion

MTS emphasis: core concepts, direct solving, repetition, and low-error execution.

Most important error to avoid

Typical MTS loss comes from weak recall of the basic rule, sign or reading errors, or adding unnecessary complexity to an otherwise direct question.

SSC MTS Ratio and Proportion — SSC MTS study plan

Connect Ratio and Proportion to the objective-question workflow used in SSC MTS: recognise the concept, choose a clean method, solve, and verify.

How to practise this topic

Use a short progression from direct examples to mixed timed practice, increasing complexity only after accuracy is stable.

Mistakes to remove before the next set

Classify each error as concept, reading, calculation, grammar, or time-management related and correct the exact cause before repeating the set.

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Why students use this page

Learn the shortcut first, then solve with less confusion

This page is built to show the shortcut, the trap, and the faster solving route before you start clicking through questions.

Learn the shortcut

Understand the fastest pattern for this topic before you attempt full MCQs.

Avoid common traps

See where students commonly lose marks so you can eliminate bad options earlier.

Solve faster in exam

Apply one practical method before attempting MCQs and cut down hesitation.

Quick Summary Free

Ratio and Proportion at a glance

Ratio and Proportion revision for SSC MTS: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Concept

Core idea

Ratio compares quantities of the same kind; proportion states that two ratios are equal. Simplify ratios before using them and ensure quantities are in compatible units.

SSC MTS focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Short Notes

Fast revision notes

Ratio and Proportion revision rule: concept → formula/relation → one worked example → timed practice → error review.

Revision

Last-minute points

  • Core concept
  • Key formula/relation
  • Common trap
  • Approved practice
Formula Box Free

Formula / key facts

  • a:b = a/b
  • a:b = c:d ⇒ ad=bc
  • If total T is divided in a:b, shares are aT/(a+b) and bT/(a+b)
Shortcut Zone Free

Tricks / shortcuts

For chained ratios, equalise the common term before combining the ratios.

Memory Trick

Remember faster

For chained ratios, equalise the common term before combining the ratios.

Next Step

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SSC MTS: Reinforce this concept through SSC MTS-focused practice.

Solve topic-wise questions, measure accuracy, identify weak areas, and prepare for mock tests faster with a sharper revision flow.

  • Topic-wise practice built around this concept
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Exam Tips

How to score with this topic

  • Read the exact requirement before choosing a shortcut.
  • Keep units, signs and percentage bases consistent.
  • Use the final few seconds to verify direction and magnitude.
Mistakes

Common traps to avoid

  • Using a memorised shortcut without checking its condition.
  • Skipping unit or base conversion.
  • Doing long arithmetic before identifying the underlying relation.
Solved Example

Step-by-step example

SSC MTS practice example: Two quantities are in the ratio 3:5 and their total is 64. One part is 64 ÷ 8 = 8, so the quantities are 24 and 40.

Practice Preview

Before you solve

  1. Two quantities are in the ratio 3:5 and their total is 64. What is the smaller quantity?
Learn the shortcut first

Shortcut before you solve

Most ratio questions become shorter once you reduce both sides to the smallest form.

Featured shortcut

Reduce the ratio first, then scale both sides by the same multiplier.

Exam-use rule

In proportion, both terms must be scaled by the same number.

Use this in 3 seconds

See how one side changed, then apply the same multiplier to the matching term.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Reduce the ratio first, then scale both sides by the same multiplier.

Tip: If two ratios are proportional, their cross products are equal.
Real exam shortcut before you solve

If 3 : 5 = x : 20, find x.

Step 1

3 : 5 means the second number is 4 times the first ratio part.

Step 2

Since 5 becomes 20, multiply 3 by 4 as well.

Rule

In proportion, both terms must be scaled by the same number.

3-second trick

See how one side changed, then apply the same multiplier to the matching term.

Trap to avoid

Do not change only one term of the ratio and leave the other unmatched.

Correct answer

12

Worked example

If 3 : 5 = x : 20, find x.

Thinking path
  • 5 becomes 20, so the multiplier is 4.
  • Multiply 3 by 4.
  • The missing value is 12.

Final answer: 12

Why this is fast: Scaling is faster than writing a full proportion equation every time.

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FAQ

Frequently asked questions

How should I revise Ratio and Proportion for SSC MTS?

Revise the core relation, solve one worked example, then attempt a short timed practice set.

Are these official PYQs?

No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.