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CLAT UG Quantitative Techniques Syllabus
Every chapter and topic of Quantitative Techniques examined in CLAT UG — 3 chapters, 9 topics, plus 50 flashcards written against it.
Quantitative Techniques syllabus — full chapter and topic list
Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Quantitative Techniques in CLAT UG, not a summary of it.
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Arithmetic
3 topics- Number System
- Percentages
- Profit and Loss
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Algebra
3 topics- Linear Equations
- Quadratic Equations
- Polynomials
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Data Interpretation
3 topics- Bar Graphs
- Pie Charts
- Tables
Quantitative Techniques flashcards for CLAT UG
24 of 50 cards from the Quantitative Techniques deck — real questions with worked answers.
What is a natural number?
A counting number starting from 1: 1, 2, 3, 4, ... (positive integers, excluding 0).
What is the difference between whole numbers and natural numbers?
Whole numbers include 0 along with all natural numbers (0, 1, 2, 3, ...); natural numbers start from 1.
Define a prime number and give the smallest prime.
A prime number has exactly two distinct factors: 1 and itself. The smallest prime is 2 (also the only even prime).
What is a composite number?
A natural number greater than 1 that has more than two factors (i.e., it is not prime), e.g., 4, 6, 8, 9.
Classify the number 1: is it prime, composite, or neither?
Neither prime nor composite, because it has only one factor (itself).
What are rational and irrational numbers?
A rational number can be written as p/q where p, q are integers and q ≠ 0 (e.g., 3/4, 0.5). An irrational number cannot (e.g., √2, π); its decimal is non-terminating and non-repeating.
What is the test for divisibility by 3?
A number is divisible by 3 if the sum of its digits is divisible by 3.
What is the test for divisibility by 9?
A number is divisible by 9 if the sum of its digits is divisible by 9.
What is the test for divisibility by 11?
A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is 0 or a multiple of 11.
State the relationship between HCF, LCM, and two numbers.
For two numbers a and b: HCF × LCM = a × b.
How do you convert a fraction to a percentage?
Multiply the fraction by 100 and add the % sign, e.g., 3/4 = (3/4)×100 = 75%.
How do you express a percentage as a fraction?
Divide the percentage by 100 and simplify, e.g., 40% = 40/100 = 2/5.
What is the formula for percentage increase?
Percentage increase = (Increase / Original value) × 100.
What is the formula for percentage decrease?
Percentage decrease = (Decrease / Original value) × 100.
If a value is increased by x% and then decreased by x%, what is the net effect?
There is a net decrease of (x²/100)%, never zero (the final value is lower than the original).
What is x% of y equal to in terms of y% of x?
x% of y = y% of x (they are always equal), since both equal xy/100.
A number is increased by 25%. By what percentage must it be decreased to return to the original?
By 20%, because the decrease needed = (25 / 125) × 100 = 20%.
Define Cost Price (CP) and Selling Price (SP).
Cost Price is the price at which an item is bought; Selling Price is the price at which it is sold.
What are the formulas for profit and loss?
Profit = SP − CP (when SP > CP); Loss = CP − SP (when CP > SP).
How is profit percentage calculated?
Profit% = (Profit / CP) × 100. Profit/loss percentage is always calculated on the Cost Price.
How is loss percentage calculated?
Loss% = (Loss / CP) × 100, calculated on the Cost Price.
What is the formula for SP in terms of CP and profit%?
SP = CP × (100 + Profit%)/100. For a loss: SP = CP × (100 − Loss%)/100.
What are Marked Price (MP) and Discount?
Marked Price (list price) is the price tagged on an item before discount; Discount = MP − SP, and Discount% = (Discount / MP) × 100 (calculated on MP).
A shopkeeper sells two items at the same SP, one at x% profit and the other at x% loss. What is the net result?
There is always a net loss of (x²/100)%.
Planning Quantitative Techniques for CLAT UG
Quantitative Techniques is about 20% of the CLAT UG syllabus by topic count — 9 of 44 topics, spread over 3 chapters. At roughly 45 minutes per topic plus 12 minutes per sub-topic, a first pass runs to about 7 hours.
The heaviest chapters are Arithmetic (3 topics), Algebra (3 topics), Data Interpretation (3 topics) . Front-load those while your energy is high; the short chapters are better revision filler later.
Work top-down: read the chapter, then tick topics off individually rather than marking the whole chapter done. Sub-topics are where silent gaps hide.
Quantitative Techniques (CLAT UG) FAQ
What is in the CLAT UG Quantitative Techniques syllabus?
Quantitative Techniques is split into 3 chapters — Arithmetic, Algebra and Data Interpretation, containing 9 topics and 0 sub-topics in total.
How many chapters are there in Quantitative Techniques for CLAT UG?
3 chapters. Quantitative Techniques accounts for about 20% of the topics in the whole CLAT UG syllabus (9 of 44).
How long should I spend on Quantitative Techniques for CLAT UG?
Budget around 7 hours for a first pass through Quantitative Techniques — about 45 minutes per topic plus 12 minutes per sub-topic across its 9 topics. Add revision cycles on top.
Are there flashcards for CLAT UG Quantitative Techniques?
Yes — a 50-card Quantitative Techniques deck. Sample cards are printed on this page, and the full deck is free in the Examius app with spaced repetition scheduling.