A CLAT caselet is a table written as a paragraph. Rebuild it: categories down the side, groups across, totals on both edges. Turn each percentage into a count using its own base, fill gaps by subtraction, and questions become lookups. If a needed number is never given, it is cannot be determined.
🎬 The 30-second story
Twelve numbers, one paragraph
1
“Twelve numbers in one paragraph? I'm skipping this.”
📄
Meher
Sunday mock. Meher meets her first caselet.
2
“Easy. 25% of students plus 30% of girls. 55%!”
🧮
Aarav
Aarav adds percentages with different bases.
3
“Stop. Streams down the side, girls and boys across.”
📊
Zoya
Forty seconds on a grid.
4
“So boys is just total minus girls in each row?”
✅
Meher
Five questions, four minutes.
Tara's maths: Aarav's 55% means nothing: 25% is of all students, 30% is of girls. Percentages with different bases never add.
What is a caselet in CLAT Quant?
Since 2020, CLAT gives you a paragraph, not a chart: a college survey, two companies' profits, a region's workers. Four to six questions follow. The maths is Class 8 percentages; the real test is whether you can organise numbers under time pressure.
🧩 At a glance
The four question types every caselet uses
🔍Read a cell
'How many girls opted Non-medical?'
⚖️Compare cells
'Which stream has the most boys?'
➗A as % of B
Divide one cell by another.
❓Cannot be determined
A needed number is missing.
How do you turn a CLAT Quant passage into a table?
Read once for shape, not numbers. Categories (streams, years) become rows; groups (girls and boys, rural and urban) become columns. Add a Total row and column: CLAT gives some totals, some parts, and expects you to subtract.
1
Totals first
Sentence one, usually.
2
Draw the skeleton
Rows, columns, blank cells. About 30 seconds.
3
Tag each percentage with its base
Underline the word after 'of': '25% of students' and '30% of girls' sit in different columns.
4
Convert, fill, subtract
Percentage × base = count; missing part = total − known.
5
Check
Each column must add to its total. If not, you misread a base.
🧮 The formula
The move that fills most of the grid
🧮
Row total
% of all students
−
👩
Girls in the row
% of all girls
=
👦
Boys in the row
derived, never given
⚠️ The base trap: '% of what?'
In CLAT 2022, Arts is 25% of students but 15% of girls: 750 and 255. Turn every percentage into a count before you compare, add or subtract.
How do you solve a caselet question step by step?
✍️ Worked exampleWarm-up⏱ 60 sec
Fest passes
A fest sold 800 passes; 45% were day passes, the rest full-fest. 60% of day-pass buyers were first-years, and 150 full-fest buyers were first-years. What percentage of all buyers were first-years?
1
Day passes = 45% of 800 = 360.
2
First-years with day passes = 60% of 360 (base: day passes, not 800) = 216.
3
First-years in total = 216 + 150 = 366.
4
366 ÷ 800 × 100 = 45.75%.
Answer:45.75% (366 of 800 buyers)
⚡ The exam-hall shortcut
60% of 45% = 27% of all buyers = 216. You never needed the 440 full-fest passes.
✍️ Worked exampleCLAT level⏱ 75 sec
Morning and evening batches
A coaching centre has 1,200 students, 700 of them girls. 40% of all students and 30% of the girls attend the evening batch. What percentage of the boys attend it?
1
Boys = 1,200 − 700 = 500.
2
Evening total = 40% of 1,200 = 480; evening girls = 30% of 700 = 210.
3
Evening boys = 480 − 210 = 270.
4
270 ÷ 500 × 100 = 54%.
Answer:54% of the boys
⚡ The exam-hall shortcut
Options like 40% (the all-student rate) or 10% (40 − 30) are base traps. Count first, then divide.
✍️ Worked exampleTricky⏱ 2 min
Cancelled orders in three cities
A delivery app took 5,000 orders in cities P, Q, R in the ratio 5 : 3 : 2. P cancelled 20%, Q 150, R one-fourth. (a) What % of orders were cancelled? (b) By what % do R's completed orders fall short of Q's?
1
One part = 5,000 ÷ 10 = 500. P = 2,500, Q = 1,500, R = 1,000.
The trap option is 80%: 600 ÷ 750, with R as the base.
Is there a faster way than filling every cell?
Two habits. Fill on demand: draw the skeleton, compute a cell only when a question needs it. And use the 1% unit: 1% of 3,000 students is 30, 1% of 1,700 girls is 17.
⚔️ Side by side
Slow route vs exam route
🐢Slow route
re-read the passage each time
•Hunt for the clause again
•Lose track of bases
⚡Exam route
skeleton once, then lookups
•1% units: 30 and 17
•Column totals catch errors
VS
Test
Slow route
Exam route
Boys in Arts
750 − 255, after re-reading
30 × 25 − 17 × 15 = 495
Time per question
60–90 sec
20–40 sec
💡 Rank without full numbers
Boys in any 2022 stream = 30a − 17b (a = % of students, b = % of girls). Medical: 450 − 306 = 144, the smallest, with no other row written out.
How do you build the table for the CLAT 2022 caselet?
… out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys … 25% of the enrolled students opted non-medical and the percentage of girls in Non-medical was 30% of the total number of girls; 15% … medical … 18% of the total number of girls; 25% … Arts but … 15% …; 16% … Commerce and … 17% …; 19% … Fine Arts and … 20% of the total number of girls.
Five streams as rows. 'Total' uses base 3,000, 'Girls' base 1,700, boys is the difference. Check: both sets of shares (25 + 15 + 25 + 16 + 19 and 30 + 18 + 15 + 17 + 20) add to 100.
Stream
Total (of 3,000)
Girls (of 1,700)
Boys
Non-medical
25% → 750
30% → 510
240
Medical
15% → 450
18% → 306
144
Arts
25% → 750
15% → 255
495
Commerce
16% → 480
17% → 289
191
Fine Arts
19% → 570
20% → 340
230
Total
3,000
1,700
1,300
→ scroll to see more
📊 The data
CLAT 2022: girls and boys by stream
GirlsBoys
Non-medical
510
240
Medical · fewest boys
306
144
Arts · most boys
255
495
Commerce
289
191
Fine Arts
340
230
Non-medical and Arts both have 750 students, yet Arts has about twice the boys.
Now the questions answer themselves. Girls in Non-medical: 510. Most boys: Arts. Fewest: Medical. Boys to girls in Non-medical: 240 : 510 = 8 : 17.
A second build: CLAT 2024's workers caselet
CLAT 2024 stacked two bases: rural is 48% of 3,00,000, and each job type is a % of the rural or urban population.
Job type
Rural (1,44,000)
Urban (1,56,000)
Total
Self-employed
56% → 80,640
40% → 62,400
1,43,040
Regular salaried
12% → 17,280
48% → 74,880
92,160
Casual wage
32% → 46,080
12% → 18,720
64,800
Total
1,44,000
1,56,000
3,00,000
→ scroll to see more
🎛️ Try it yourself — change any number
A as a percentage of B
As a percent
92.31%
As a decimal
0.9231
17,280 ÷ 18,720 × 100 = 92.31%
This is 2024 Q119: 92.31%. Now type 48 and 52. Same answer, because both cells are 12% of their area.
When is the answer 'cannot be determined'?
'Cannot be determined' is a real answer, not a panic button. It is right only when a needed number is neither given nor derivable. List what the answer needs; tick each item off against your table.
🧭 Decision flow
Is it really 'cannot be determined'?
❓ Is every number the answer needs in your table?
Yes →
Determinable: compute it
No ↓
❓ Can the missing one be derived from a total or a ratio?
Boys = total − girls is a derivation.
Yes →
Determinable: derive, then compute
No ↓
❓ Is it an amount where the passage gives only a rate, or would you have to assume something?
Yes →
Cannot be determined
A rate without its base is not an amount.
No →
Re-read: you missed a number
📌 Two real CBD patterns
Rate without base (2021 Q138): profit percentages every year, income for one year only. Group without members (2023 Q149): ten judo weight groups, and a question on which group 'contributes most' to the overall average. Group sizes are never given: cannot be determined.
How has CLAT asked caselet DI questions?
📝 Asked in CLAT 2022· Q136Read a cell
As per a survey conducted in a college out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys. … 25% of the enrolled students opted non-medical and the percentage of girls in Non-medical was 30% of the total number of girls; …
How many girls have opted Non-medical?
A440
B365
C530
D510
Reveal answer + reasoning
Answer: D
'30% of the total number of girls': base 1,700. 30% of 1,700 = 17 × 30 = 510. Five seconds with the table.
Why the others fail
A — Not 30% of any base in the passage.
B — Not derivable from the passage.
C — Near 510, so it catches sloppy mental maths. 17 × 30 is exactly 510.
📝 Asked in CLAT 2022· Q138Compare cells
Same passage as Q136 (quoted in the walkthrough above): 3,000 students, 1,700 girls; each stream given as a % of students and a % of girls.
Which of the following courses have been opted by maximum number of boys?
ANon-medical
BArts
CFine Arts
DCommerce
Reveal answer + reasoning
Answer: B
Boys = 30a − 17b. Non-medical 240, Arts 495, Commerce 191, Fine Arts 230. About 40 seconds. Fast read: Arts ties for the biggest student share with the smallest girls' share.
Why the others fail
A — Ties Arts on total (750), but 510 are girls, leaving 240 boys. Picking by total is the trap.
C — 230 boys.
D — 191 boys.
📝 Asked in CLAT 2024· Q119A as % of B
A survey was conducted about the population of a particular region having working population of three lacs … Rural population was 48% of the total population. … in rural areas, regular salaried workers constituted 12% of the rural population. … Casual wage workers in rural areas were 32% of the rural population whereas it was 12% of the urban population in urban areas.
What is the percentage of regular salaried employees in rural areas corresponding to the number of casual wage workers in urban areas?
A72.3%
B79.8%
C88.7%
D92.3%
Reveal answer + reasoning
Answer: D
Rural = 1,44,000, urban = 1,56,000. Rural regular salaried = 12% of 1,44,000 = 17,280; urban casual = 12% of 1,56,000 = 18,720. 17,280 ÷ 18,720 × 100 = 92.31%. Shortcut: same 12%, so 48 ÷ 52 = 12 ÷ 13 ≈ 92.3%. About 30 seconds. The same table answers Q118 (92,160, option C), whose wrong options are digit shuffles of 92,160.
Why the others fail
A — Too low: 48 ÷ 52 is just under 1.
B — Also below 90%, impossible when the bases are 48 vs 52.
C — 12/13 is 0.923, not 0.887.
📝 Asked in CLAT 2021· Q138Cannot be determined
Two renowned international Software companies, namely Pollaris and Contigent, started their business in the year 2007 … Contigent opened with 40 per cent profit in 2007, but slowly decreased to 35 per cent in 2008 and 30 per cent in 2009. … Contigent increased its profit percentage to 45 per cent in 2010, 50 per cent in 2011 and reached 60 per cent in the year 2012.
If the income of Contigent Company in 2008 was ₹ 200 crores, what was its profit in 2009?
A₹ 21.5 Crore
B₹ 46.15 Crore
C₹ 153 Crore
DCannot be determined.
Reveal answer + reasoning
Answer: D
What the answer needs: Contigent's 2009 profit percentage (30%, given) and its 2009 income or cost (not given). The ₹200 crore belongs to 2008, and nothing links it to 2009: cannot be determined. Contrast Q136 of the same set, where the key gave 20% (50% → 60%), readable from percentages alone. Q138 wants rupees. About 20 seconds.
Why the others fail
A — No route from the given numbers produces it.
B — 200 × 30 ÷ 130: 2009's rate on 2008's income, assuming income did not change.
C — About 200 ÷ 1.3: a cost figure on 2008's income.
What mistakes cost marks in caselet DI?
💥 Myth vs fact
Caselet myths
🙅 Myth
'Cannot be determined' is a safe guess.
Tap to bust it →
✅ Fact
It sat under 2021 Q136 too, where the key's answer was 20%.
🙅 Myth
A bigger total means a bigger part.
Tap to bust it →
✅ Fact
Non-medical and Arts both had 750 students; boys were 240 vs 495.
🙅 Myth
Percentages in one paragraph can be added.
Tap to bust it →
✅ Fact
Only on the same base. Convert to counts first.
🎯 Quick quiz
Crack these mini caselets
0 / 5
A gym has 600 members: 360 men, 240 women. 35% of all members do yoga; 25% of the women do yoga. The rest do strength training only.
Q1. How many men do yoga?
Yoga = 210; women in yoga = 60; men = 150. 126 is 35% of 360, the base trap.
Same gym.
Q2. What percentage of the men do yoga?
150 ÷ 360 × 100 = 41.67%.
Same gym.
Q3. By what percentage do men in strength training outnumber women in strength training?
Men 210, women 180. Base is women: 30 ÷ 180 = 16.67%.
Same gym. Yoga members pay ₹1,200 a month.
Q4. What is the gym's monthly fee income from all 600 members?
The strength fee is never given. ₹7,20,000 assumes it is also ₹1,200.
A shop sold 2,400 phones in quarter 1: 55% budget, 30% mid-range, the rest premium. In quarter 2, total sales rose 25% and premium was 20% of sales.
Q5. By what percentage did premium sales rise?
Q1: 15% of 2,400 = 360. Q2: 20% of 3,000 = 600. 240 ÷ 360 = 66.67%. 5% is the change in share, in points.
🎯 Caselet DI in a nutshell
A caselet is a table written as prose: rebuild it with totals on both edges.
Tag every percentage with its base before you use it.
Convert to counts, fill gaps by subtraction, check the columns add up.
Cannot be determined only when a needed number is truly absent.
📎 Formula card
Part = (percentage ÷ 100) × its own base
Missing cell = total − known parts
A as % of B = A ÷ B × 100
A more than B = (A − B) ÷ B × 100
Same rate: if A = r% of X and B = r% of Y, then A ÷ B = X ÷ Y
Checks: shares of one base add to 100%; parts add to their total
CBD test: a needed number is neither given nor derivable
Frequently asked questions
What is caselet DI in CLAT?
Caselet DI is data interpretation where the data arrives as a paragraph, not a table. CLAT has used it for Quantitative Techniques since 2020: a short passage full of numbers, then four to six questions. The maths is percentages, ratios and averages; the skill is building the table fast.
How do I convert a CLAT Quant passage into a table?
Find the grand total and group totals first. Make categories the rows and groups the columns, with a Total row and column. Convert each percentage to a count using its own base, the word after 'of'. Subtract for the rest, then check the columns add up.
When should I choose 'cannot be determined' in CLAT Quant?
Only when the answer needs a number the passage never gives and you cannot derive from totals, ratios or other cells. The classic case: a question asks for rupees when the passage gives only a percentage for that year. List what the answer needs and tick each item off.
Why don't my numbers add up when I build the table?
Usually because two percentages were taken on different bases. In the 2022 caselet, stream shares are of all 3,000 students while the girls' figures are of 1,700 girls. Convert both into counts first. Shares of one base should total 100%.