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DU LLB Entrance Quantitative and Numerical Aptitude Flashcards
50 question-and-answer cards covering Quantitative and Numerical Aptitude as it is examined in DU LLB Entrance. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative and Numerical Aptitude deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
If A does a job in x days and B in y days, how long do they take working together?
Together they take (x y) / (x + y) days, because their combined one-day work is 1/x + 1/y.
State the basic relationship between speed, distance, and time.
Speed = Distance / Time; therefore Distance = Speed x Time and Time = Distance / Speed.
How do you convert a speed from km/hr to m/s?
Multiply by 5/18. For example, 36 km/hr = 36 x 5/18 = 10 m/s.
What is the formula for average speed when equal distances are covered at speeds x and y?
Average speed = 2xy / (x + y), the harmonic mean of the two speeds.
What total distance does a train of length L cover when crossing a platform of length P?
It covers (L + P), the sum of the train's length and the platform's length; time = (L + P) / speed.
How long does a train of length L take to cross a stationary pole or man?
Time = L / speed, since it only needs to cover its own length to pass a point object.
Two trains of lengths L1 and L2 move in opposite directions at speeds u and v. What is the time to cross each other?
Time = (L1 + L2) / (u + v), because relative speed in opposite directions is the sum of the speeds.
In a race, what is meant by 'A beats B by 20 metres'?
It means when A finishes the race, B is still 20 metres behind the finishing line, i.e. A has run the full distance while B has run (distance - 20).
What is the algebraic identity for (a + b)^2 and (a - b)^2?
(a + b)^2 = a^2 + 2ab + b^2; (a - b)^2 = a^2 - 2ab + b^2.
State the identity for a^2 - b^2 and a^3 + b^3.
a^2 - b^2 = (a + b)(a - b); a^3 + b^3 = (a + b)(a^2 - ab + b^2).
What is the quadratic formula for ax^2 + bx + c = 0?
x = [-b ± sqrt(b^2 - 4ac)] / (2a), where b^2 - 4ac is the discriminant.
For ax^2 + bx + c = 0, what are the sum and product of the roots?
Sum of roots = -b/a; Product of roots = c/a.
What are the formulas for the area and circumference of a circle of radius r?
Area = pi x r^2; Circumference = 2 x pi x r.
State the area of a triangle given base b and height h, and Heron's formula.
Area = (1/2) x b x h. By Heron's formula, Area = sqrt[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2 is the semi-perimeter.
What is the Pythagorean theorem for a right-angled triangle?
In a right triangle, hypotenuse^2 = base^2 + height^2 (the square on the hypotenuse equals the sum of squares on the other two sides).
Give the formulas for the volume and total surface area of a cube of side a.
Volume = a^3; Total surface area = 6a^2.
What is the volume and curved surface area of a cylinder of radius r and height h?
Volume = pi x r^2 x h; Curved (lateral) surface area = 2 x pi x r x h.
What is the formula for the number of permutations of n distinct objects taken r at a time?
nPr = n! / (n - r)!.
What is the formula for the number of combinations of n distinct objects taken r at a time?
nCr = n! / [r! (n - r)!].
How do permutations and combinations differ conceptually?
Permutations count arrangements where order matters; combinations count selections where order does not matter. nPr = nCr x r!.
State the basic definition of the probability of an event.
Probability = (number of favourable outcomes) / (total number of equally likely outcomes), a value between 0 and 1.
In a Tables/Charts data interpretation question, what is the first step before calculating?
Carefully read the title, units, row and column headings (or axis labels) to understand exactly what data is presented and any footnotes, before doing any calculation.
In a pie chart, how is each sector's value related to its central angle?
Each component's share equals (its central angle / 360) x total; equivalently central angle = (component value / total) x 360 degrees.
In data sufficiency questions, what does it mean if 'either statement alone is sufficient'?
It means Statement 1 alone answers the question AND Statement 2 alone answers it independently; the data from each statement on its own is enough, so the combined answer is 'either alone is sufficient.'
What this deck covers
The Quantitative and Numerical Aptitude deck follows the DU LLB Entrance Quantitative and Numerical Aptitude syllabus — 5 chapters and 16 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 90 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 and Numerical Aptitude flashcards FAQ
How many Quantitative and Numerical Aptitude flashcards are in this DU LLB Entrance 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 DU LLB Entrance 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 and Numerical Aptitude cards cover?
They follow the DU LLB Entrance Quantitative and Numerical Aptitude syllabus — 5 chapters and 16 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.