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  • Question

  • If a + b = 10 and ab- 13 = -ba - 11 , then what is the value of 3ab + 4a2 + 5b2 ?


  • Options
  • A. 450
  • B. 300
  • C. 600
  • D. 750

  • Correct Answer
  • 300 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. If a4 + 1 = [a2 /b2 ] (4b2 ? b4 ? 1) , then what is the value of a4 + b4 ?

    • Options
    • A. 2
    • B. 16
    • C. 32
    • D. 64
      • Discuss
    • 2. If x2 ? 12x + 33 = 0 , then what is the value of (x ? 4)2 + [1/(x ? 4)2] ?

    • Options
    • A. 16
    • B. 14
    • C. 18
    • D. 20
      • Discuss
    • 3. If one root of the equation Ax2 +Bx + C = 0 is two and a half times the others, then which of the following is TRUE?

    • Options
    • A. 7B2 = 3 CA
    • B. 7B2 = 4 CA
    • C. 7B2 = 36 CA
    • D. 10B2 = 49 CA
      • Discuss
    • 4. If ? and ? are the roots of equation x2 ? 2x + 4 = 0, then what is the equation whose roots are ?3/?2 and ?3/?2?

    • Options
    • A. x2 ? 4 x + 8 = 0
    • B. x2 ? 32 x + 4 = 0
    • C. x2 ? 2 x + 4 = 0
    • D. x2 ? 16 x + 4 = 0
      • Discuss
    • 5. If (x + y)/z = 2, then what is the value of [y/(y ? z)] + [x/(x ? z)]?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. ? 1
      • Discuss
    • 6. If 3x + 4y ? 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z ? 4 = 18, then what is the value of x + y + z ? 34?

    • Options
    • A. ? 28
    • B. ? 14
    • C. ? 31
    • D. ? 45
      • Discuss
    • 7. If x + 3y - 2z4 = 6, x + 232y + 3z = 33 and 17x + y +z + 2z =9, then what is the value of 46x+ 131y ?

    • Options
    • A. 414
    • B. 364
    • C. 384
    • D. 464
      • Discuss
    • 8. What is the value of [sin (y ? z) + sin (y + z) + 2 sin y]/[sin (x ? z) + sin (x + z) + 2 sin x]?

    • Options
    • A. cos x sin y
    • B. (sin y)/(sin x)
    • C. sin z
    • D. sin x tan y
      • Discuss
    • 9. What is the value of {[sin (x + y) ? 2 sin x + sin (x ? y)]/[cos (x ? y) + cos (x + y) ? 2 cos x]} × [(sin 10x ? sin 8x)/(cos 10x + cos 8x)]?

    • Options
    • A. 0
    • B. tan2x
    • C. 1
    • D. 2 tan x
      • Discuss
    • 10. What is the value of [sin (90? 10?) ? cos (p ? 6?)]/ [cos (p/2 ? 10?) ? sin (p ? 6?)]?

    • Options
    • A. tan 2?
    • B. cot 2?
    • C. cot ?
    • D. cot 3?
      • Discuss

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