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  • Question
  • If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 ? 3xyz ?


  • Options
  • A. 81
  • B. 361
  • C. 729
  • D. 6561

  • Correct Answer
  • 729 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C ? 3sin A cos B tan C ?

    • Options
    • A. 0
    • B. 1
    • C. 8
    • D. 9
    • Discuss
    • 2. If p/q = r/s = t/u = ?5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)] ?

    • Options
    • A. 1/5
    • B. 5
    • C. 25
    • D. 60
    • Discuss
    • 3. If x ? y ? ?18 = ?1 and x + y ? 3?2 = 1, then what is the value of 12xy(x2 ? y2) ?

    • Options
    • A. 0
    • B. 1
    • C. 512?2
    • D. 612?2
    • Discuss
    • 4. If (x ? y) = 7, then what is the value of (x ? 15)3 ? (y ? 8)3 ?

    • Options
    • A. 0
    • B. 343
    • C. 392
    • D. 399
    • Discuss
    • 5. If (x ? 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0 , then what are the values of k1 and k2?

    • Options
    • A. k1 = 6, k2 = ? 1
    • B. k 1 = 1, k 2 = ? 6
    • C. k 1 = 1, k2 = 6
    • D. k1 = ? 6, k2 = 1
    • Discuss
    • 6. If x4 + (1/x4) = 34 , then what is the value of x3 ? (1/x3) ?

    • Options
    • A. 0
    • B. 6
    • C. 8
    • D. 14
    • Discuss
    • 7. If x = 1 ? y and x2 = 2 ? y2 , then what is the value of xy?

    • Options
    • A. 1
    • B. 2
    • C. -1/2
    • D. -1
    • Discuss
    • 8. What is the simplified value of (sec A + cos A)(sec A ? cos A)?

    • Options
    • A. 2 tan2A
    • B. 2 sin2 A
    • C. sin2 A tan2 A
    • D. sin2A + tan2 A
    • Discuss
    • 9. What is the simplified value of cosec Acot A + tan A2 ?

    • Options
    • A. 2cos 2A
    • B. 1 ? sin2 A
    • C. sec2A
    • D. secA tanA
    • Discuss
    • 10. How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?

    • Options
    • A. 3675
    • B. 4018
    • C. 4021
    • D. 4025
    • Discuss


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