CLAT Ratio and proportion Questions with Solutions; Free PDF Download

A district legal-aid clinic expects 360 participants. The ratio of first-time to returning participants is 5:4. Among first-time participants, the morning-to-afternoon ratio is 3:2. Among returning participants, 75% attend the morning session. Every morning participant receives one information booklet; every afternoon participant receives one information booklet, every afternoon participant receives two. 

Based on the above passage, answer the following questions.

Q1. How many first-time participants attend the morning session?

A. 100
B. 120
C. 150
D. 200

Correct Answer: B. 120

Q2. How many returning participants attend the afternoon session?

A. 40
B. 60
C. 80
D. 90

Correct Answer: A. 40

Q3. How many booklets are required in total?

A. 480
B. 500
C. 520
D. 560

Correct Answer: A. 480

Q4. How many constitutional-studies books were donated in Week 1?

A. 160
B. 180
C. 200
D. 240

Correct Answer: B. 180

Q5. How many students initially registered from the South?

A. 180
B. 200
C. 210
D. 240

Correct Answer: C. 210

CLAT does not ask math questions, however there can be questions on mathematical concepts embedded within text-based caselets and Data Interpretation (DI) sets.

1. Core Concepts & Foundations

Master pure mathematical rules to unlock data hidden inside CLAT passages:

• Compounded & Inverse Ratios

• Mean, Third, and Fourth Proportionals

• Properties of Proportion - Applying Alternendo, Invertendo, Componendo, and Dividendo to quickly simplify complex equations.

• Direct and Inverse Variation

2. Primary Application Areas in Caselets

CLAT passages present real-world stories or data sets where ratio rules must be applied to solve the puzzle:

• Partnerships & Profit Sharing

• Mixtures and Alligations

• Ages and Timelines

• Coins and Currency

3. Integration with Data Interpretation (DI)

The exam tests your ability to merge ratio concepts with charts and tables:

• Data Scale Conversions

• Percentage-Ratio Interconversion

• Total Value Distribution

While preparing for CLAT Ratio and proportion -

• Prepare by prioritizing reading speed and comprehension, mathematical caselets range from 150 to 300 words.
• Practice over memorization.
• Do Daily analysis of numerical data, text-to-equation translation, and structural distributions will help to improve accuracy and speed.

The Quantitative Techniques (QT) section consistently accounts for 10% of the total exam weightage in CLAT.

• Following structural changes implemented since CLAT 2024, the total question pool for the exam was reduced from 150 to 120 questions.

• Consequently, the QT section features 12 questions (occasionally dynamic between 10-14 questions), divided systematically across 2 distinct passage-based caselets with 6 questions each.

Core Weightage of Ratio & Proportion

Ratio and Proportion acts as the baseline mathematical engine for CLAT caselets. It is almost never tested as a standalone concept but is instead layered directly into Data Interpretation (DI).

• Typically 1 out of 2 caselets relies primarily on Ratio and Proportion to distribute data. This yields a direct footprint of 5 to 6 marks (roughly 50% of the entire math section).

• The remaining questions heavily use ratio concepts to scale, compare, and divide values alongside other core arithmetic topics like Percentages, Averages, and Profit & Loss.

Past Year Trends (CLAT 2023-2026)

Structural Shifts

• The length of text in caselets has been compressed into short, tightly written numerical data sets (150 to 200 words). However, the analytical density has risen requiring quick, error-free translation of text straight into algebraic equations.

• The consortium has stopped creating pure single-topic caselets. Success relies on mastering the structural crossover of Ratios - Percentages - Averages concurrently within a single data set.

Students who are participating in the test must refer to the CLAT exam syllabus. The CLAT 2027 Registration is ongoing till October 31, 2026. Students meeting the CLAT Exam Eligibility can visit consortiumofnlus.ac.in/clat-2027 to apply.

Students planning to appear for the exam can refer to the below steps to prepare for CLAT 2027 Logical Reasoning section.

• Master Text-to-Equation Translation by converting text stories into mathematical equations on first read without rereading sentences and saving time.

• Focus on key caselet frameworks by training on Partnership distributions, Mixture-Alligations, and Age-line shifts, as CLAT strictly uses text-based caselets.

• Learn trio interconversion

• Use the constant unit trick

• Practice with a 6-minute timer and try to solve the questions during this time.

Read below for CLAT Ratio and Proportion FAQs: