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  • Question
  • If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 ? 3abc ?


  • Options
  • A. 121
  • B. 168
  • C. 300
  • D. 770

  • Correct Answer
  • 770 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If sin 3? sec 2? = 1, then what is the value of [3 tan2(5?/2) ? 1] ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 2. If ? is acute angle and tan ? ? cot ? = 0, then what is the value of tan26? + cot100? ?

    • Options
    • A. -2
    • B. 0
    • C. 1
    • D. 2
    • Discuss
    • 3. What is the value of sin (??/3) + cos(??/6)?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 4. If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?

    • Options
    • A. 125?3
    • B. 147?3
    • C. 156?3
    • D. 169?3
    • Discuss
    • 5. If x2+ y2+ z2= xy + yz + zx , then what is the value of (7x + 3y ? 5z)/5x?

    • Options
    • A. 0
    • B. 1
    • C. 5
    • D. 33/5
    • Discuss
    • 6. If (x/5) + (5/x) = ? 2, then what is the value of x3 ?

    • Options
    • A. ?125
    • B. 5
    • C. 1/125
    • D. 625
    • Discuss
    • 7. What is the simplified value of [2/(cot A ? tan A)]?

    • Options
    • A. sin A cos A
    • B. tan 2A
    • C. sin2 A
    • D. cos2 A
    • Discuss
    • 8. What is the simplified value of (sec4 A ? tan2 A) ? (tan4 A + sec2 A) ?

    • Options
    • A. -1
    • B. 1/2
    • C. 1
    • D. 0
    • Discuss
    • 9. If x + (1/x) = 2, then what is the value of x21 + (1/x1331) ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 10. Find x, if 5x-6+5x+6 = 6

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


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