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SSC CGL Quantitative Aptitude Flashcards
59 question-and-answer cards covering Quantitative Aptitude as it is examined in SSC CGL. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Aptitude deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
Expand (a + b + c)².
a² + b² + c² + 2ab + 2bc + 2ca.
For a pair of linear equations in two variables, what does each consistency case mean (unique, infinite, no solution)?
Unique solution: a1/a2 ≠ b1/b2 (lines intersect). Infinite solutions: a1/a2 = b1/b2 = c1/c2 (coincident). No solution: a1/a2 = b1/b2 ≠ c1/c2 (parallel).
Give the quadratic formula for ax² + bx + c = 0.
x = [−b ± √(b² − 4ac)] / 2a.
For roots of ax² + bx + c = 0, what are the sum and product of roots?
Sum of roots = −b/a; Product of roots = c/a.
What does the discriminant b² − 4ac tell you about the roots of a quadratic?
> 0: two distinct real roots; = 0: two equal real roots; < 0: no real roots (complex roots).
State the Factor Theorem for polynomials.
(x − a) is a factor of polynomial p(x) if and only if p(a) = 0.
What is the slope-intercept form of a line and what do its constants mean?
y = mx + c, where m is the slope (gradient) and c is the y-intercept.
What is the sum of the interior angles of a triangle, and the exterior angle property?
Interior angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles.
State the Pythagoras theorem for a right-angled triangle.
In a right triangle, (hypotenuse)² = (base)² + (perpendicular)², i.e. c² = a² + b².
What is the relationship between the radius and a tangent at the point of contact of a circle?
The tangent at any point of a circle is perpendicular (90°) to the radius drawn to the point of contact.
What is the sum of interior angles of an n-sided polygon, and of all exterior angles?
Interior angles sum = (n − 2) x 180°; sum of exterior angles = 360° (for any convex polygon).
Give the area and circumference formulas for a circle of radius r.
Area = πr²; Circumference = 2πr.
Give the formulas for area of a triangle (base-height and Heron's).
Area = ½ x base x height; Heron's: Area = √[s(s−a)(s−b)(s−c)] where s = (a+b+c)/2.
Give the Total Surface Area and Volume of a sphere of radius r.
TSA = 4πr²; Volume = (4/3)πr³.
Give the Volume and Curved Surface Area of a right circular cylinder (radius r, height h) and of a cone (radius r, height h, slant l).
Cylinder: Volume = πr²h, CSA = 2πrh. Cone: Volume = (1/3)πr²h, CSA = πrl where l = √(r² + h²).
Define the trigonometric ratios sin, cos and tan for an angle θ in a right triangle.
sin θ = Opposite/Hypotenuse; cos θ = Adjacent/Hypotenuse; tan θ = Opposite/Adjacent.
State the three Pythagorean trigonometric identities.
sin²θ + cos²θ = 1; 1 + tan²θ = sec²θ; 1 + cot²θ = cosec²θ.
Give the values of sin and cos at 0°, 30°, 45°, 60° and 90°.
sin: 0, 1/2, 1/√2, √3/2, 1. cos: 1, √3/2, 1/√2, 1/2, 0.
What are the trigonometric ratios of complementary angles (90° − θ)?
sin(90°−θ)=cos θ; cos(90°−θ)=sin θ; tan(90°−θ)=cot θ; sec(90°−θ)=cosec θ; cot(90°−θ)=tan θ; cosec(90°−θ)=sec θ.
In heights and distances, what do the angle of elevation and 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.
How do you convert between degrees and radians?
Radians = Degrees x (π/180); Degrees = Radians x (180/π); note π radians = 180°.
How is the mean (arithmetic average) of grouped/ungrouped data computed?
Mean = (Σ of all values)/(number of values), or for grouped data Mean = Σ(f x x)/Σf.
How do you find the median of a data set?
Arrange data in order. If n is odd, median = the [(n+1)/2]th value; if n is even, median = average of the (n/2)th and (n/2 + 1)th values.
Define the mode and state the empirical relationship between mean, median and mode.
Mode is the most frequently occurring value. Empirical relation: Mode = 3 x Median − 2 x Mean.
What this deck covers
The Quantitative Aptitude deck follows the SSC CGL Quantitative Aptitude syllabus — 6 chapters and 21 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 9.8 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 81 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 Aptitude flashcards FAQ
How many Quantitative Aptitude flashcards are in this SSC CGL deck?
59 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these SSC CGL flashcards free?
Yes. The preview here is free to read with no signup, and the full 59-card deck is free inside the Examius app.
What do the Quantitative Aptitude cards cover?
They follow the SSC CGL Quantitative Aptitude syllabus — 6 chapters and 21 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.