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🇵🇰 NTS GAT-General · flashcards
NTS GAT-General Quantitative Reasoning Flashcards
51 question-and-answer cards covering Quantitative Reasoning as it is examined in NTS GAT-General. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Reasoning deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
State the identity for (a + b)² and (a − b)².
(a + b)² = a² + 2ab + b²; (a − b)² = a² − 2ab + b².
State the identity for a² − b² and for (a + b)(a − b).
a² − b² = (a + b)(a − b); equivalently (a + b)(a − b) = a² − b².
State the identity for (a + b)³ and a³ + b³.
(a + b)³ = a³ + 3a²b + 3ab² + b³; a³ + b³ = (a + b)(a² − ab + b²).
What is the standard form and solution of a linear equation in one variable, ax + b = 0?
A linear equation in one variable has the form ax + b = 0 (a ≠ 0), with solution x = −b/a.
What does it mean for a system of two linear equations to have no solution or infinitely many solutions?
For a₁x+b₁y=c₁ and a₂x+b₂y=c₂: no solution if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ (parallel lines); infinitely many if a₁/a₂ = b₁/b₂ = c₁/c₂ (same line); unique solution if a₁/a₂ ≠ b₁/b₂.
What is the standard form of a quadratic equation and the quadratic formula?
Standard form: ax² + bx + c = 0 (a ≠ 0). Quadratic formula: x = [−b ± √(b² − 4ac)] / (2a).
What does the discriminant of a quadratic equation tell you?
For ax²+bx+c=0, discriminant D = b² − 4ac. If D > 0 there are two distinct real roots; if D = 0 two equal real roots; if D < 0 no real roots (complex roots).
State the sum and product of the roots of ax² + bx + c = 0.
Sum of roots = −b/a; Product of roots = c/a.
State the laws of exponents for a^m × a^n and (a^m)^n.
a^m × a^n = a^(m+n); (a^m)^n = a^(m·n).
What do a^0 and a^(−n) equal?
a^0 = 1 (for a ≠ 0); a^(−n) = 1/a^n.
How is a fractional exponent a^(m/n) expressed as a radical?
a^(m/n) = the n-th root of a^m = (ⁿ√a)^m = ⁿ√(a^m).
What is the formula for the nth term of an arithmetic progression (AP)?
aₙ = a + (n − 1)d, where a is the first term, d is the common difference, and n is the term number.
What is the formula for the sum of the first n terms of an AP?
Sₙ = n/2 × [2a + (n − 1)d], or equivalently Sₙ = n/2 × (first term + last term).
What is the formula for the nth term of a geometric progression (GP)?
aₙ = a·r^(n−1), where a is the first term and r is the common ratio.
What is the formula for the sum of the first n terms of a GP?
Sₙ = a(rⁿ − 1)/(r − 1) for r ≠ 1; the sum to infinity (when |r| < 1) is S∞ = a/(1 − r).
What is a function, and what are its domain and range?
A function is a relation that assigns each input exactly one output. The domain is the set of all valid inputs (x-values); the range is the set of all resulting outputs (y-values).
In the line y = mx + c, what do m and c represent?
m is the slope (gradient) of the line and c is the y-intercept (the y-value where the line crosses the y-axis).
What is the formula for the slope of a line through points (x₁, y₁) and (x₂, y₂)?
Slope m = (y₂ − y₁) / (x₂ − x₁).
What is the order of a matrix, and when can two matrices be multiplied?
The order is rows × columns (m × n). Two matrices can be multiplied only if the number of columns of the first equals the number of rows of the second.
How do you find the determinant of a 2×2 matrix [[a, b], [c, d]]?
Determinant = ad − bc.
What are complementary and supplementary angles?
Complementary angles sum to 90°; supplementary angles sum to 180°.
What is the angle sum property of a triangle, and what is the exterior angle theorem?
The three interior angles of a triangle sum to 180°. The exterior angle theorem states an exterior angle equals the sum of the two non-adjacent (remote) interior angles.
State the formula for the sum of interior angles of a polygon with n sides.
Sum of interior angles = (n − 2) × 180°.
What is the relationship between the inscribed angle and the central angle subtending the same arc of a circle?
The angle subtended at the centre is twice the angle subtended at any point on the remaining circumference by the same arc (inscribed angle theorem).
What this deck covers
The Quantitative Reasoning deck follows the NTS GAT-General Quantitative Reasoning syllabus — 4 chapters and 25 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.8 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 88 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 Reasoning flashcards FAQ
How many Quantitative Reasoning flashcards are in this NTS GAT-General deck?
51 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these NTS GAT-General flashcards free?
Yes. The preview here is free to read with no signup, and the full 51-card deck is free inside the Examius app.
What do the Quantitative Reasoning cards cover?
They follow the NTS GAT-General Quantitative Reasoning syllabus — 4 chapters and 25 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.