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  • Question
  • If (x + y)2 = xy + 1 and x3 ? y3 = 1 , then what is the value of x ? y?


  • Options
  • A. 1
  • B. 0
  • C. -1
  • D. 2

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. If (5x ? y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 ? 4xy)/(9x2 + 16y2 + 24xy) ?

    • Options
    • A. 0
    • B. 3/7
    • C. 18/49
    • D. 1/6
    • Discuss
    • 2. If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?

    • Options
    • A. 95/36
    • B. 97/36
    • C. 87/25
    • D. 623/27
    • Discuss
    • 3. If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?

    • Options
    • A. 1
    • B. 13/11
    • C. 13/5
    • D. 4
    • Discuss
    • 4. If 3sin?+4cos?=5 (0

    • Options
    • A. 1/5
    • B. 2/5
    • C. 3/5
    • D. 4/5
    • Discuss
    • 5. A, B and C are three points on a circle with centre O. The tangent at C meets BA produced at T. If ?ATC = 30° and ?ACT = 48°,then what is the value of ?AOB ?

    • Options
    • A. 78°
    • B. 96°
    • C. 102°
    • D. 108°
    • Discuss
    • 6. If sin ? + sin 5? = sin 3? and 0 < ? < (?/2), then what is the value of ? (in degrees)?

    • Options
    • A. 30
    • B. 45
    • C. 60
    • D. 75
    • Discuss
    • 7. If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

    • Options
    • A. 9 : 4 : 25
    • B. 25 : 4 : 9
    • C. 64 : 25 : 49
    • D. 49 : 25 : 64
    • Discuss
    • 8. If a+b=2c then the value of aa-c+cb-c is equal to (where a?b?c )

    • Options
    • A. -1
    • B. 1
    • C. 0
    • D. 1/2
    • Discuss
    • 9. If x+1x=5, then the value of x1+x+x2 is

    • Options
    • A. 1/5
    • B. 1/6
    • C. 5
    • D. 6
    • Discuss
    • 10. If sin? + cos? = 1, then the sin? cos? is equal to

    • Options
    • A. 0
    • B. 1
    • C. 1/2
    • D. -1/2
    • Discuss


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