Formulaes for Algebra - Quadratic Equation or Algebra Questions - Quantitative Aptitude Quiz

Formulaes for Algebra

  1. (a+b)2 = a2 + b2 + 2ab
    or it can also be written as:
    (a+b)2 = (a-b)2 + 4ab
  2. (a-b)2 = a2 + b2 - 2ab
    or it can also be written as:
    (a-b)2 = (a+b)2 - 4ab
  3. (a+b)3 = a3 + b3 + 3ab(a+b) = a3 + b3 + 3a2b + 3ab2
  4. (a-b)3 = a3 - b3 - 3ab(a-b) = a3 - b3 - 3a2b + 3ab2
  5. a3 + b3 = (a+b)3 - 3ab(a+b)
    or it can also be written as:
    a3 + b3 = (a+b) (a2-ab+b2)
  6. a3 - b3 = (a-b)3 + 3ab(a-b)
    or it can also be written as:
    a3 - b3 = (a-b) (a2+ab+b2)
  7. a2 - b2 = (a-b)(a+b)
  8. am * an = am+n
  9. am / an = am-n
  10. (a/b)(m/n) = (b/a)-(m/n)
  11. am / b-n = am * bn

Quadratic Equations or Algebra Aptitude Problems

  1. x² – 34x + 288 = 0
    y² – 28y + 192 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  2. C. X ≥ Y
    x² – 34x + 288 = 0
    x = 18, 16
    y² – 28y + 192 = 0
    y = 12, 16
  3. x² – 26x + 168 = 0
    y² – 32y + 252 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  4. D. X ≤ Y
    x² – 26x + 168 = 0
    x = 12, 14
    y² – 32y + 252 = 0
    y = 14, 18

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  5. x² + 26x + 168 = 0
    y² + 23y + 132 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  6. D. X ≤ Y
    x² + 26x + 168 = 0
    x = -12, -14
    y² + 23y + 132 = 0
    y = -12, -11
  7. x² – 44x + 448 = 0
    y² – 28y + 195 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  8. A. X > Y
    x² – 44x + 448 = 0
    x = 28, 16
    y² – 28y + 195 = 0
    y = 13, 15
  9. x² – 26x + 168 = 0
    y² – 34y + 285 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  10. B. X < Y
    x² – 26x + 168 = 0
    x = 12, 14
    y² – 34y + 285 = 0
    y = 15, 19
  11. x² – 38x + 352 = 0
    y² – 25y + 154 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  12. A. X > Y
    x² – 38x + 352 = 0
    x = 22, 16
    y² – 25y + 154 = 0
    y = 11, 14
  13. x² = 121
    y² – 46y + 529 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  14. B. X < Y
    x² = 121
    x = 11, – 11
    y² – 46y + 529 = 0
    y = 23, 23
  15. x² + 29x + 208 = 0
    y² + 19y + 78 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  16. D. X ≤ Y
    x² + 29x + 208 = 0
    x = -13, -16
    y² + 19y + 78 = 0
    y = -13, -6
  17. x² – 41x + 400 = 0
    y² – 29y + 210 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  18. A. X > Y
    x² – 41x + 400 = 0
    x = 25, 16
    y² – 29y + 210 = 0
    y = 14, 15
  19. x² – 25x + 156 = 0
    y² – 32y + 255 = 0
    A. X > Y
    B. X < Y
    C. X ≥ Y
    D. X ≤ Y
  20. B. X < Y
    x² – 25x + 156 = 0
    x = 12, 13
    y² – 32y + 255 = 0
    y = 15, 17