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🇵🇰 COMSATS Admission Test · flashcards
COMSATS Admission Test Quantitative Reasoning Flashcards
50 question-and-answer cards covering Quantitative Reasoning as it is examined in COMSATS Admission Test. 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.
If A does a job in x days and B in y days, how long do they take working together?
Together time = xy/(x + y) days (since combined rate = 1/x + 1/y).
What is the relationship between number of workers and time taken (for a fixed job)?
They are inversely proportional: more workers means less time (Men x Days = constant work).
A and B together finish a job in 6 days; A alone in 10 days. How long does B take alone?
15 days. B's rate = 1/6 - 1/10 = 1/15, so B takes 15 days.
What is the standard form of a linear equation in two variables?
ax + by + c = 0 (or ax + by = c), where a and b are not both zero.
What does the solution of a system of two linear equations represent graphically?
The point of intersection of the two straight lines.
When does a system of two linear equations have no solution (parallel lines)?
When a1/a2 = b1/b2 is not equal to c1/c2 (consistent ratios of coefficients but different constant ratio).
When does a system of two linear equations have infinitely many solutions?
When a1/a2 = b1/b2 = c1/c2 (the two lines coincide / are dependent).
What is the standard form of a quadratic equation?
ax^2 + bx + c = 0, where a is not equal to 0.
State the quadratic formula for the roots of ax^2 + bx + c = 0.
x = (-b +/- sqrt(b^2 - 4ac)) / (2a).
What is the discriminant of a quadratic and what does it determine?
D = b^2 - 4ac; it determines the nature of the roots (real/equal/complex).
For ax^2 + bx + c = 0, what do the discriminant values D>0, D=0, and D<0 indicate?
D>0: two distinct real roots; D=0: two equal real roots; D<0: two complex (no real) roots.
For roots of ax^2 + bx + c = 0, what are the sum and product of the roots?
Sum of roots = -b/a; Product of roots = c/a.
Expand the algebraic identity (a + b)^2.
(a + b)^2 = a^2 + 2ab + b^2.
Expand the algebraic identity (a - b)^2.
(a - b)^2 = a^2 - 2ab + b^2.
Factorize the difference of two squares a^2 - b^2.
a^2 - b^2 = (a + b)(a - b).
Give the factorization identities for a^3 + b^3 and a^3 - b^3.
a^3 + b^3 = (a + b)(a^2 - ab + b^2); a^3 - b^3 = (a - b)(a^2 + ab + b^2).
State the laws of exponents for a^m x a^n and (a^m)^n.
a^m x a^n = a^(m+n); (a^m)^n = a^(mn).
What do a^0 and a^(-n) equal (for a not equal to 0)?
a^0 = 1; a^(-n) = 1/a^n.
Express the fractional exponent a^(m/n) in radical (surd) form.
a^(m/n) = the n-th root of a^m, i.e., (n-th root of a)^m.
How do you rationalize the denominator of a fraction like 1/(a + sqrt(b))?
Multiply numerator and denominator by the conjugate (a - sqrt(b)), giving (a - sqrt(b))/(a^2 - b).
What is the measure of angles in a linear pair, and what are complementary and supplementary angles?
A linear pair sums to 180 degrees; complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.
When a transversal cuts two parallel lines, what is true of alternate interior angles and corresponding angles?
Alternate interior angles are equal, and corresponding angles are equal.
What is the sum of the interior angles of a triangle, and of a polygon with n sides?
Triangle = 180 degrees; n-sided polygon = (n - 2) x 180 degrees.
State the Pythagorean theorem and the exterior angle theorem for triangles.
Pythagoras: in a right triangle, hypotenuse^2 = sum of squares of the other two sides; Exterior angle = sum of the two remote (opposite) interior angles.
What this deck covers
The Quantitative Reasoning deck follows the COMSATS Admission Test Quantitative Reasoning syllabus — 5 chapters and 19 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 66 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 COMSATS Admission Test 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 COMSATS Admission Test 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 Reasoning cards cover?
They follow the COMSATS Admission Test Quantitative Reasoning syllabus — 5 chapters and 19 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.