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  • Question

  • If x3 + y3 + z3 = 3(1 + xyz), P = y + z ? x, Q = z + x ? y and R = x + y ? z, then what is the value of P3 + Q3 + R3 ? 3PQR?


  • Options
  • A. 9
  • B. 8
  • C. 12
  • D. 6

  • Correct Answer
  • 12 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

    • Options
    • A. 9/5
    • B. 11/7
    • C. 7/11
    • D. 7/4
      • Discuss
    • 2. x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

    • Options
    • A. -1
    • B. 1
    • C. 3
    • D. -3
      • Discuss
    • 3. If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?

    • Options
    • A. 31
    • B. 26
    • C. 28
    • D. 24
      • Discuss
    • 4. If P = 7 + 4?3 and PQ = 1, then what is the value of 1/P2 + 1/Q2 ?

    • Options
    • A. 196
    • B. 194
    • C. 206
    • D. 182
      • Discuss
    • 5. If x + y + z = 0, then what is the value of (3y2 + x2 + z2 )/(2y2 ? xz)?

    • Options
    • A. 2
    • B. 1
    • C. 3/2
    • D. 5/3
      • Discuss
    • 6. If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

    • Options
    • A. 1
    • B. 1/2
    • C. 2
    • D. 1/3
      • Discuss
    • 7. If ? and ? are the roots of equation x2 ? x + 1 = 0, then which equation will have roots ?3 and ?3?

    • Options
    • A. x2 + 2x + 1 = 0
    • B. x2 ? 2x ? 1 = 0
    • C. x2 + 3x ? 1 = 0
    • D. x2 ? 3x + 1 = 0
      • Discuss
    • 8. If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

    • Options
    • A. 4
    • B. 2
    • C. 3
    • D. 5
      • Discuss
    • 9. Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?

    • Options
    • A. 415
    • B. 465
    • C. 440
    • D. Cannot be determined
      • Discuss
    • 10. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

    • Options
    • A. 1 : 2
    • B. 1 : ?3
    • C. 2 : ?3
    • D. 2 : 3
      • Discuss

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