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  • Question
  • If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2 ) ?


  • Options
  • A. 75
  • B. 83
  • C. 217
  • D. 225

  • Correct Answer
  • 83 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If x1/4 + x-1/4 = 2 , then what is the value of x81 + (1/x81) ?

    • Options
    • A. -2
    • B. 0
    • C. 1
    • D. 2
    • Discuss
    • 2. If (x2/yz) + (y2/zx) + (z2/xy) = 3 , then what is the value of (x + y + z)3 ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 3. If sin?+cos?sin?-cos?=3, then the value of sin4?-cos4? is

    • Options
    • A. 4/3
    • B. 3/4
    • C. 5/3
    • D. 3/5
    • Discuss
    • 4. In ?ABC if the median AD=1/2 BC, then ?BAC is

    • Options
    • A. 90°
    • B. 45°
    • C. 60°
    • D. 75°
    • Discuss
    • 5. If 2x+2x=3, then the value of x3+1x3+2 is

    • Options
    • A. 3/4
    • B. 4/5
    • C. 5/8
    • D. 7/8
    • Discuss
    • 6. If x2 + (1/x2) = 1 , then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1 ?

    • Options
    • A. -9
    • B. 0
    • C. 1
    • D. 9
    • Discuss
    • 7. What is the simplified value of sin2(90??)?[sin(90??)sin?/tan?] ?

    • Options
    • A. 1
    • B. cosec ?
    • C. 0
    • D. cos ?
    • Discuss
    • 8. What is the simplified value of cosec 2A + cot 2A?

    • Options
    • A. sec A
    • B. sec (A/2)
    • C. cot A
    • D. cot2 A
    • Discuss
    • 9. If a+b=5 then the value of a-37+b-27 is

    • Options
    • A. 27
    • B. 37
    • C. 1
    • D. 0
    • Discuss
    • 10. If x2-2x+1=0, then the value of x4+1x4 is

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss


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