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CMAT Quantitative Techniques & Data Interpretation Flashcards
50 question-and-answer cards covering Quantitative Techniques & Data Interpretation as it is examined in CMAT. 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 & Data Interpretation deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
State the nth term and sum of n terms of an Arithmetic Progression (AP).
nth term: aₙ = a + (n−1)d; Sum: Sₙ = (n/2)[2a + (n−1)d] = (n/2)(a + l).
State the nth term and sum of n terms of a Geometric Progression (GP).
nth term: aₙ = ar^(n−1); Sum (r≠1): Sₙ = a(rⁿ − 1)/(r − 1). Infinite sum (|r|<1): S = a/(1 − r).
State the three fundamental logarithm laws (product, quotient, power).
log(mn) = log m + log n; log(m/n) = log m − log n; log(mᵖ) = p·log m.
State the change of base formula for logarithms.
log_b a = (log_c a)/(log_c b), for any valid base c.
State the laws: aᵐ × aⁿ, aᵐ ÷ aⁿ, and (aᵐ)ⁿ.
aᵐ × aⁿ = a^(m+n); aᵐ ÷ aⁿ = a^(m−n); (aᵐ)ⁿ = a^(mn).
How do you rationalize the denominator of 1/(√a + √b)?
Multiply numerator and denominator by the conjugate (√a − √b): result = (√a − √b)/(a − b).
State the angle sum property of a triangle and the exterior angle theorem.
Sum of interior angles = 180°; an exterior angle equals the sum of the two remote (non-adjacent) interior angles.
State the Pythagoras theorem and its converse.
In a right triangle, hypotenuse² = sum of squares of the other two sides. Converse: if a²+b²=c², the triangle is right-angled at the vertex opposite c.
What is the sum of interior angles of a polygon with n sides, and the sum of its exterior angles?
Interior angle sum = (n − 2) × 180°; exterior angle sum = 360° (for any convex polygon).
State key properties distinguishing a rhombus from a rectangle.
Rhombus: all sides equal, diagonals bisect at right angles. Rectangle: all angles 90°, diagonals equal. A square is both.
State the relationship between the angle subtended by a chord at the centre and at the circumference.
The angle at the centre is twice the angle subtended by the same arc/chord at any point on the remaining circumference.
What is the angle in a semicircle, and what is the property of angles in the same segment?
Angle in a semicircle = 90°; angles in the same segment of a circle are equal.
State the distance formula and the section formula (internal division) in coordinate geometry.
Distance = √[(x₂−x₁)² + (y₂−y₁)²]; Section (ratio m:n): ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)).
State the slope of a line through two points and the condition for two lines to be perpendicular.
Slope m = (y₂−y₁)/(x₂−x₁); two lines are perpendicular when m₁ × m₂ = −1 (parallel when m₁ = m₂).
State the area and circumference formulas for a circle, and area of a sector with angle θ.
Area = πr²; Circumference = 2πr; Sector area = (θ/360°) × πr².
State the surface area and volume of a sphere and a right circular cylinder.
Sphere: SA = 4πr², V = (4/3)πr³. Cylinder: Total SA = 2πr(r+h), V = πr²h.
State the volume and total surface area of a cone (radius r, height h, slant l).
Volume = (1/3)πr²h; Total SA = πr(l + r), where l = √(r² + h²).
State the values of sin, cos, and tan for 0°, 30°, 45°, 60°, 90°.
sin: 0, 1/2, 1/√2, √3/2, 1. cos: 1, √3/2, 1/√2, 1/2, 0. tan: 0, 1/√3, 1, √3, undefined.
State the three Pythagorean trigonometric identities.
sin²θ + cos²θ = 1; 1 + tan²θ = sec²θ; 1 + cot²θ = cosec²θ.
In heights and distances, what does the angle of elevation versus angle of depression mean?
Angle of elevation: angle above the horizontal when looking up at an object. Angle of depression: angle below the horizontal when looking down at an object.
State the formulas for permutations nPr and combinations nCr.
nPr = n!/(n−r)! (order matters); nCr = n!/[r!(n−r)!] (order doesn't matter). Note nPr = nCr × r!.
State the classical (theoretical) definition of probability and the range of any probability value.
P(event) = (favourable outcomes)/(total equally likely outcomes); 0 ≤ P ≤ 1, where 0 = impossible and 1 = certain.
State the addition rule of probability for two events A and B.
P(A∪B) = P(A) + P(B) − P(A∩B); for mutually exclusive events P(A∩B)=0, so P(A∪B)=P(A)+P(B).
State the set cardinality formula for two and three sets (inclusion–exclusion).
|A∪B| = |A|+|B|−|A∩B|; |A∪B∪C| = |A|+|B|+|C| − |A∩B| − |B∩C| − |C∩A| + |A∩B∩C|.
What this deck covers
The Quantitative Techniques & Data Interpretation deck follows the CMAT Quantitative Techniques & Data Interpretation syllabus — 5 chapters and 27 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 Techniques & Data Interpretation flashcards FAQ
How many Quantitative Techniques & Data Interpretation flashcards are in this CMAT 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 CMAT 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 & Data Interpretation cards cover?
They follow the CMAT Quantitative Techniques & Data Interpretation syllabus — 5 chapters and 27 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.