logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Simplification Comments

  • Question
  • If p + q = 10 and pq = 5, then the numerical value if p/q + q/p will be?


  • Options
  • A. 22
  • B. 18
  • C. 16
  • D. 20

  • Correct Answer
  • 18 

    Explanation

    p/q + q/p = (p2 + q2)/pq
    Apply the formula of algebra
    a 2+ b2 = (a + b)2 - 2ab


    p/q + q/p = ( (p + q)2 - 2pq ) / pq
    By substituting the pq and p + q values in given equation.
    p/q + q/p = ( (p + q)2 - 2pq ) / pq
    p/q + q/p = ((10)2 - 2 x 5 ) / 5
    p/q + q/p = (100 - 10 )/ 5 = 90/5 = 18
    p/q + q/p = 90/5 = 18
    p/q + q/p = 18


  • Simplification problems


    Search Results


    • 1. 
      If x + y = 1, then the value of (x3 + y3 + 3xy) is?

    • Options
    • A. -2
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 2. 
      If x + y = 18 and xy = 72, what is the value of x2 + y2?

    • Options
    • A. 120
    • B. 90
    • C. 180
    • D. Cannot be determined
    • Discuss
    • 3. 
      If x + 1/x = 6, then x 4 + 1/x 4 is?

    • Options
    • A. 1152
    • B. 1154
    • C. 1148
    • D. 1150
    • Discuss
    • 4. 
      If x + 1/x = 2, then what is value of x - 1/x ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. -2
    • Discuss
    • 5. 
      If x + 1/x = 3, then x5 + 1/x5 is equal to?

    • Options
    • A. 123
    • B. 83
    • C. 92
    • D. 112
    • Discuss
    • 6. 
      [ (m - n) 3 + (n - r) 3 + (r - m) 3 ] / 6[(m - n) (n - r) (r - m)] =?

    • Options
    • A. 1/2
    • B. 1/3
    • C. 1/5
    • D. 1/6
    • Discuss
    • 7. 
      (1 - 1/2) (1 - 1/3) (1 -1/4) (1 -1/5) ... (1 - 1/m) =?

    • Options
    • A. 1/m
    • B. m
    • C. m + 1
    • D. 1/(m - 1)
    • Discuss
    • 8. 
      If a + 1/a = ? 3, then the value of a6 - 1/a6 + 2 will be

    • Options
    • A. 3?3
    • B. 5
    • C. 1
    • D. 2
    • Discuss
    • 9. 
      The value of (1 + 1/2) (1 + 1/3) (1 + 1/4) ..... (1 + 1/150) is?

    • Options
    • A. 65.5
    • B. 50.5
    • C. 105
    • D. 75.5
    • Discuss
    • 10. 
      If a + 1/b = 1 and b + 1/c = 1, then c + 1/a =?

    • Options
    • A. 4
    • B. 24
    • C. 3
    • D. 1
    • Discuss


    Comments

    There are no comments.

Enter a new Comment