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  • Question
  • 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

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. If x ? 3 + [1/(x ? 3)] = 4, what is the value of [(x ? 3)3+ [1/(x ? 3)3] ?

    • Options
    • A. 14
    • B. 18
    • C. 52
    • D. 76
    • Discuss
    • 2. If x/y = 4/9, then what is the value of (7x2 ? 19xy + 11y2)/y2 ?

    • Options
    • A. 59/81
    • B. 100/27
    • C. 319/81
    • D. 913/81
    • Discuss
    • 3. The value of (0.3)2/100= ?

    • Options
    • A. 0.09
    • B. 0.0009
    • C. 0.009
    • D. 0.9
    • Discuss
    • 4. If tan2? + cot2? = 2 , then what is the value of 2sec ? cosec ? ?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 4
    • Discuss
    • 5. If tan ? + cot ? = x, then what is the value of tan4? + cot4? ?

    • Options
    • A. (x3 ? 3)2 + 2
    • B. (x4 ? 2x) + 4
    • C. x2 (x2 ? 4) + 2
    • D. x
    • Discuss
    • 6. 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
    • 7. What is the value of sin (??/3) + cos(??/6)?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 8. 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
    • 9. 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
    • 10. 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
    • Discuss


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