The role of Quantitative Techniques in CLAT
Quantitative Techniques has 10 to 14 questions in the published CLAT UG format, about a tenth of the paper. The questions are based on short passages or sets of data, such as a paragraph with numbers, a table or a graph, and test mathematics at roughly the class 10 level: arithmetic, ratios, percentages, algebra basics, mensuration and data interpretation. The section is small, but it is the most formulaic and therefore the easiest one to improve with practice. For candidates from humanities backgrounds, it is often the section that decides a few marks between ranks, and it can be completed in about ten to twelve minutes.
Topic map
| Area | Topics | Nature |
|---|---|---|
| Arithmetic | Percentage, ratio and proportion, average, profit and loss, simple and compound interest, time and work, speed | Largest share |
| Algebra basics | Linear equations, simple word problems | Short |
| Mensuration and geometry | Areas, volumes, perimeters | Formula-based |
| Data interpretation | Tables, bar and pie charts, caselets | Reading and calculation |
| Number sense | Fractions, decimals, squares, simple number properties | Quick |
The mix varies by year; use recent papers and mocks as a guide.
Worked examples (original and illustrative)
Percentage in a passage. "A city's library membership rose from 8,000 to 9,200 in a year." The percentage increase is 1,200 ÷ 8,000 = 15%.
Ratio. A fund of 1,800 is shared between two teams in the ratio 5 : 4. The shares are 1,000 and 800.
Average. The average marks of 5 students are 62. A sixth student scores 74. The new average? (310 + 74) ÷ 6 = 64.
Table. A table shows the cases filed and decided by a court in three years: Year 1: 400 filed, 300 decided; Year 2: 450 filed, 360 decided; Year 3: 500 filed, 450 decided. In which year was the percentage of cases decided highest? Year 1: 75%; Year 2: 80%; Year 3: 90%. So Year 3.
Speed. A person covers 60 km at 30 km/h and returns at 60 km/h. The average speed? Total distance 120 km; time 2 + 1 = 3 hours; the average is 40 km/h.
Each takes 30 to 60 seconds with the right method.
Speed methods worth learning
- Fractions for percentages (12.5% = 1/8; 16.67% = 1/6).
- Total distance over total time for average speed.
- Successive percentage change with multiplying factors.
- Estimation when options are far apart.
- Squares to 25 and the multiplication tables.
See mental maths techniques and topic practice on percentage, ratio and proportion, averages and data interpretation.
Time management
| Stage | Time (about 12 minutes) | What to do |
|---|---|---|
| First pass | About 8 minutes | Questions with a clear method; mark the rest |
| Second pass | About 3 minutes | Marked questions in order of ease |
| Check | About 1 minute | Verify arithmetic |
If the section is a weakness, keep it for the end and give it only the time left; if it is a strength, doing it first can bank quick marks and calm you. Test both in mocks.
Negative marking in Quantitative Techniques
With +1 and −0.25, a computed answer that matches no option usually means a slip, so recheck. After eliminating options by estimation, guessing pays. See our negative marking guide.
How to practise
- Topic sets: 10 to 15 questions a day on one topic, first untimed, then timed.
- Calculation drills: ten minutes a day.
- Passage sets: two a week, in the style of the paper.
- Sectionals: one a week in the middle phase.
Analysing your Quantitative Techniques result
| Pattern | Probable cause | Action |
|---|---|---|
| Errors in one topic | Concept gap | Topic repair: 15 questions |
| Right method, wrong number | Arithmetic slips | Estimation; check the last step |
| Wrong data answers | Misreading the table or units | Read the title and units first |
| Cannot finish in 12 minutes | Slow methods | Shortcuts; skip the slowest |
| Wrong guesses | No elimination | Estimate to eliminate |
Common mistakes
- Ignoring the section because it is small.
- Not memorising tables and fractions.
- Using the wrong base for a percentage.
- Practising untimed.
- Spending four minutes on a single hard question.
Related pages
See the CLAT hub, the exam pattern and the mock test strategy. Other sections: English Language, Legal Reasoning, Logical Reasoning and Current Affairs and GK. For a worked review read how to use mock tests for CLAT. Quantitative tests published by institutes appear below.
Note: question ranges follow the Consortium's published format; confirm the format for your year in the official notification. The examples above are original and are not from CLAT papers.