IBPS PO Quantitative Aptitude (Numerical Ability) Flashcards

24 sample cards from the Quantitative Aptitude (Numerical Ability) deck

Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.

1. What is the formula for Simple Interest?

   SI = (P × R × T)/100, where P = principal, R = rate per annum, T = time in years.

2. What is the formula for Compound Interest (amount) compounded annually?

   A = P(1 + R/100)ᵀ, and CI = A − P.

3. What is the difference between CI and SI for 2 years on principal P at rate R%?

   Difference = P × (R/100)².

4. If A does a work in 'a' days and B in 'b' days, how long together?

   Together time = (a×b)/(a+b) days; combined one-day work = 1/a + 1/b.

5. State the work-equivalence relation M₁D₁H₁/W₁ = M₂D₂H₂/W₂.

   For men (M), days (D), hours (H), and work (W): M₁D₁H₁/W₁ = M₂D₂H₂/W₂, used to compare two work scenarios.

6. What is the basic relation between speed, distance, and time?

   Speed = Distance/Time; Distance = Speed × Time; Time = Distance/Speed.

7. How do you convert km/h to m/s and m/s to km/h?

   km/h to m/s: multiply by 5/18. m/s to km/h: multiply by 18/5.

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

   Average speed = 2xy/(x+y) (harmonic mean).

9. What is the general form of a quadratic equation and its roots formula?

   ax² + bx + c = 0; roots x = [−b ± √(b²−4ac)]/(2a).

10. For ax² + bx + c = 0, what are the sum and product of roots?

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

11. What does the discriminant D = b²−4ac tell you about the roots?

    D>0: two distinct real roots; D=0: two equal real roots; D<0: no real (complex) roots.

12. State the identity (a+b)² and (a−b)².

    (a+b)² = a² + 2ab + b²; (a−b)² = a² − 2ab + b².

13. State the identity a³ + b³ and a³ − b³.

    a³ + b³ = (a+b)(a²−ab+b²); a³ − b³ = (a−b)(a²+ab+b²).

14. What are the area and perimeter formulas for a circle of radius r?

    Area = πr²; Circumference (perimeter) = 2πr.

15. What is the area of a triangle given base b and height h, and Heron's formula?

    Area = ½ × b × h. Heron's: Area = √[s(s−a)(s−b)(s−c)] where s = (a+b+c)/2.

16. What are the volume and total surface area of a cube of side a?

    Volume = a³; Total Surface Area = 6a².

17. What are the volume and curved surface area of a cylinder (radius r, height h)?

    Volume = πr²h; Curved Surface Area = 2πrh; Total Surface Area = 2πr(r+h).

18. What is the volume of a sphere and a cone?

    Sphere: V = (4/3)πr³. Cone: V = (1/3)πr²h.

19. What is the formula for permutations nPr and combinations nCr?

    nPr = n!/(n−r)!; nCr = n!/[r!(n−r)!].

20. What is the probability of an event, and the range of probability values?

    P(event) = (Favorable outcomes)/(Total outcomes). Probability lies between 0 and 1 inclusive.

21. In Data Interpretation, how do you find percentage of a part in a pie chart given in degrees?

    Percentage = (degrees of the sector / 360) × 100; value = (degrees/360) × total.

22. What is 'Missing DI' and how is it generally approached?

    Missing DI gives partial data with some values blank; you use stated relationships, ratios, totals, or percentages between rows/columns to compute the missing values before answering.

23. In a number series, what defines an arithmetic vs geometric progression?

    Arithmetic: constant common difference (add/subtract a fixed number). Geometric: constant common ratio (multiply/divide by a fixed number).

24. Identify the pattern type: 2, 6, 12, 20, 30, ... — what is the next term?

    Differences increase by 2 (4,6,8,10,12): the terms are n(n+1). Next term = 42.

What this deck covers

Quantitative Aptitude (Numerical Ability) flashcards FAQ