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  • Question

  • A = (x8 ? 1)/(x4 + 1) and B = (y4 ? 1)/(y2 + 1). If x = 2 and y = 9, then what is the value of A2 + 2AB + AB2?


  • Options
  • A. 96475
  • B. 98625
  • C. 92425
  • D. 89125

  • Correct Answer
  • 98625 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. If x + y = 3, then what is the value of x3 + y3 + 9xy ?

    • Options
    • A. 15
    • B. 81
    • C. 27
    • D. 9
      • Discuss
    • 2. If x2 ? 4x + 1 = 0 , then what is the value of x9 + x7 ? 194x5 ? 194x3 ?

    • Options
    • A. 4
    • B. ? 4
    • C. 1
    • D. ? 1
      • Discuss
    • 3. If [a + (1/a)]2 ? 2[a ? (1/a)] = 12 , then which of the following is a value of 'a'?

    • Options
    • A. ? 8 + ?3
    • B. ? 8 ? ?3
    • C. ? 8 + ?5
    • D. None of these
      • Discuss
    • 4. If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz ? x2 ? y2 ? z2 ?

    • Options
    • A. ? 4
    • B. 2
    • C. ? 1
    • D. ? 6
      • Discuss
    • 5. A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3?3. What is the value of (a2 + b2 + c2)/(a + b + c) ?

    • Options
    • A. 35/3
    • B. 37/3
    • C. ? 105/11
    • D. ? 105/13
      • Discuss
    • 6. If x ? 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x ? 3y)?

    • Options
    • A. 9/5
    • B. 11/5
    • C. 13/7
    • D. 9/7
      • Discuss
    • 7. If (x/a) + (y/b) = 3 and (x/b) ? (y/a) = 9, then what is the value of x/y?

    • Options
    • A. ( b + 3 a)/( a ? 3 b)
    • B. ( a + 3 b)/( b ? 3 a)
    • C. (1 + 3 a)/( a + 3 b)
    • D. ( a + 3 b2)/( b ? 3 a2)
      • Discuss
    • 8. In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

    • Options
    • A. 45
    • B. 35
    • C. 55
    • D. 65
      • Discuss
    • 9. What is the value of [(sin 7x ? sin 5x)÷(cos 7x + cos 5x)] ? [(cos 6x ? cos 4x)÷(sin 6x + sin 4x)]?

    • Options
    • A. 1
    • B. 2 tan x
    • C. tan 2 x
    • D. tan (3 x/2)
      • Discuss
    • 10. What is the value of [(cos32? + 3 cos 2?)÷(cos6? ? sin6?)] ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4
      • Discuss

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