IBPS PO / SBI PO Quantitative Aptitude Flashcards

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.

1. State the three core formulas relating speed, distance, and time.

   Speed = Distance/Time; Distance = Speed x Time; Time = Distance/Speed.

2. What is the conversion between km/h and m/s?

   Multiply km/h by 5/18 to get m/s; multiply m/s by 18/5 to get km/h.

3. How do relative speeds work for two objects moving in the same vs opposite directions?

   Same direction: relative speed = difference of speeds. Opposite directions: relative speed = sum of speeds.

4. What is the average speed for equal distances covered at speeds x and y?

   Average speed = 2xy/(x + y) (the harmonic mean), not the simple average.

5. In boats and streams, what are downstream and upstream speeds in terms of boat speed b and stream speed s?

   Downstream speed = b + s; Upstream speed = b - s. So b = (down + up)/2 and s = (down - up)/2.

6. What are the area and perimeter formulas for a rectangle, square, and circle?

   Rectangle: Area = l x b, Perimeter = 2(l+b). Square: Area = a^2, Perimeter = 4a. Circle: Area = pi r^2, Circumference = 2 pi r.

7. What are the area formulas for a triangle (base-height and Heron's) and an equilateral triangle?

   Triangle = (1/2) x base x height; Heron's = sqrt(s(s-a)(s-b)(s-c)) where s=(a+b+c)/2. Equilateral = (sqrt(3)/4) a^2.

8. What is the area of a trapezium and the area of a rhombus?

   Trapezium = (1/2)(sum of parallel sides) x height. Rhombus = (1/2) x product of diagonals.

9. What are the volume and total surface area of a cuboid and a cube?

   Cuboid: V = l x b x h, TSA = 2(lb+bh+hl). Cube: V = a^3, TSA = 6a^2.

10. What are the volume and curved surface area of a cylinder and a cone?

    Cylinder: V = pi r^2 h, CSA = 2 pi r h. Cone: V = (1/3) pi r^2 h, CSA = pi r l (l = slant height).

11. What are the volume and surface area of a sphere and a hemisphere?

    Sphere: V = (4/3) pi r^3, SA = 4 pi r^2. Hemisphere: V = (2/3) pi r^3, TSA = 3 pi r^2 (CSA = 2 pi r^2).

12. In Tabular Data Interpretation, what is the standard approach to comparing percentages across rows/columns?

    Identify the base for each percentage, compute required values from raw table figures, and compare; avoid mixing different bases. Read row/column headers carefully before calculating.

13. In a pie chart (graphical DI), how do you convert a sector's degrees or percentage into an actual value?

    Value = (sector% of total) x total, or (sector degrees/360) x total. 1% = 3.6 degrees; the whole circle = 360 degrees = 100%.

14. What distinguishes a Caselet DI from tabular/graphical DI, and how should it be tackled?

    A caselet presents data in paragraph form with no table/chart; extract the numbers into your own table or Venn diagram first, then solve.

15. In Advanced/Mixed DI, what is the key first step before calculating?

    Separate the combined formats (e.g., table + chart), reconcile shared totals between them, and find the linking variable before answering.

16. For ax^2 + bx + c = 0, what is the quadratic formula and the discriminant's role?

    x = [-b +/- sqrt(b^2 - 4ac)]/(2a). Discriminant D = b^2 - 4ac: D>0 real distinct roots, D=0 equal roots, D<0 imaginary roots.

17. What are the sum and product of roots of ax^2 + bx + c = 0?

    Sum of roots = -b/a; Product of roots = c/a.

18. In quadratic-comparison questions comparing x and y, what are the possible relation conclusions?

    x > y, x < y, x >= y, x <= y, or 'relationship cannot be established' (when ranges overlap). Solve both equations and compare all root pairs.

19. How do you find the next term in an arithmetic and a geometric number series?

    Arithmetic: add a constant common difference d (nth term = a + (n-1)d). Geometric: multiply by a constant ratio r (nth term = a r^(n-1)).

20. What are common patterns to check in a 'wrong number' or missing number series?

    Check for: constant difference, constant ratio, squares/cubes, prime numbers, difference of differences, and alternating (two interleaved) series.

21. What methods solve a pair of linear equations in two variables?

    Substitution, elimination, or cross-multiplication. Cross-multiplication for a1x+b1y+c1=0 and a2x+b2y+c2=0: x/(b1c2-b2c1) = y/(c1a2-c2a1) = 1/(a1b2-a2b1).

22. State the algebraic identities for (a+b)^2, (a-b)^2, a^2-b^2, and a^3+b^3.

    (a+b)^2 = a^2+2ab+b^2; (a-b)^2 = a^2-2ab+b^2; a^2-b^2 = (a+b)(a-b); a^3+b^3 = (a+b)(a^2-ab+b^2).

23. What are the formulas for permutations nPr and combinations nCr?

    nPr = n!/(n-r)! (order matters); nCr = n!/[r!(n-r)!] (order does not matter). Note nPr = nCr x r!.

24. What is the basic probability formula and the rule for independent events A and B?

    P(event) = (favorable outcomes)/(total outcomes). For independent events, P(A and B) = P(A) x P(B); for mutually exclusive, P(A or B) = P(A) + P(B).

What this deck covers

Quantitative Aptitude flashcards FAQ