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CLAT Quantitative Techniques Flashcards
50 question-and-answer cards covering Quantitative Techniques as it is examined in CLAT. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Techniques deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the basic relationship between speed, distance and time?
Speed = Distance / Time; Distance = Speed * Time; Time = Distance / Speed.
How do you convert a speed from km/h to m/s and back?
km/h to m/s: multiply by 5/18. m/s to km/h: multiply by 18/5.
What is the formula for average speed over equal distances at speeds u and v?
Average speed = 2uv / (u + v), the harmonic mean (NOT the simple average of u and v).
In relative speed, how do you combine speeds for objects moving in the same vs opposite directions?
Opposite directions: relative speed = sum of speeds. Same direction: relative speed = difference of speeds.
How long does a train of length L take to cross a stationary platform of length P at speed S?
Time = (L + P) / S. To cross a pole/man it is L / S (only the train's own length counts).
What is the boats-and-streams relation for downstream and upstream speeds?
Downstream speed = (boat speed + stream speed); Upstream speed = (boat speed - stream speed). Boat speed = (down + up)/2; stream speed = (down - up)/2.
In time and work, if a person completes a job in n days, what is their one-day work?
One day's work = 1/n of the job.
If A does a job in a days and B in b days, how long do they take working together?
Together time = ab / (a + b) days (sum the one-day rates: 1/a + 1/b).
What does the equation M1*D1*H1/W1 = M2*D2*H2/W2 represent in work problems?
The work-equivalence (chain) rule relating Men, Days, Hours and Work for two situations doing comparable jobs.
What is the relationship between time-and-work efficiency and the ratio of times taken?
Efficiency is inversely proportional to time: if A is twice as efficient as B, A takes half the time. Ratio of work done in equal time = ratio of efficiencies.
What is the pipes-and-cisterns rule when an inlet fills in x hours and an outlet empties in y hours?
Net filling rate per hour = 1/x - 1/y; the tank fills in xy/(y - x) hours (if x < y).
In a data table, what does a 'row total' versus a 'column total' tell you?
A row total sums all values across one category's variables; a column total sums one variable across all categories. They let you compute shares and verify the grand total.
How do you find what percentage one cell of a table is of its row total?
Percentage = (cell value / row total) * 100.
What is the main strength of a pie chart and what does each sector represent?
A pie chart shows parts of a whole as proportions; each sector's central angle = (category value / total) * 360 degrees, and its share = angle/360 of the whole.
What angle at the centre of a pie chart corresponds to 25% of the data?
90 degrees (25% of 360 = 90). In general, angle = percentage * 3.6 degrees.
What is the difference between a bar graph and a line graph?
A bar graph compares discrete categories using bar heights; a line graph shows trends/change of a quantity over a continuous variable such as time.
In a passage-based calculation set, what is the recommended first step before computing?
Read the passage to identify the given quantities, units and the relationship asked, then extract only the numbers relevant to the specific question (avoid using unrelated data).
What is a quick way to compare two fractions a/b and c/d without finding a common denominator?
Cross-multiply: a/b > c/d if a*d > b*c (for positive denominators).
What is the formula for the value of a single instalment / weighted comparison used in approximation under data passages?
Use approximation: round numbers to convenient values, compute, then adjust. For ratios, compare via percentages or unit values rather than exact division to save time.
What are the standard identities (a+b)^2 and (a-b)^2 in elementary algebra?
(a+b)^2 = a^2 + 2ab + b^2; (a-b)^2 = a^2 - 2ab + b^2.
What is the factorisation of a^2 - b^2, and the quadratic formula for ax^2 + bx + c = 0?
a^2 - b^2 = (a+b)(a-b). Roots: x = [-b +/- sqrt(b^2 - 4ac)] / (2a).
What are the area and perimeter of a rectangle, and the area and circumference of a circle?
Rectangle: Area = length * breadth, Perimeter = 2(l + b). Circle: Area = pi*r^2, Circumference = 2*pi*r.
What are the formulas for the area of a triangle and the volume of a cube and cuboid?
Triangle area = (1/2)*base*height. Cube volume = a^3. Cuboid volume = length*breadth*height.
What is the difference between mean, median and mode in basic statistics?
Mean = arithmetic average (sum/count); Median = the middle value when data is ordered; Mode = the most frequently occurring value.
What this deck covers
The Quantitative Techniques deck follows the CLAT Quantitative Techniques syllabus — 4 chapters and 13 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 103 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Quantitative Techniques flashcards FAQ
How many Quantitative Techniques flashcards are in this CLAT deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these CLAT flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Quantitative Techniques cards cover?
They follow the CLAT Quantitative Techniques syllabus — 4 chapters and 13 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.