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  • Question
  • If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is


  • Options
  • A. 5154
  • B. 5267
  • C. 5364
  • D. 5456

  • Correct Answer
  • 5364 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

    • Options
    • A. 1
    • B. 2
    • C. 4
    • D. 0
    • Discuss
    • 2. A complete factorisation of x4 + 64 is

    • Options
    • A. (x2 + 8)2
    • B. (x2 + 8)(x2 - 8)
    • C. (x2 - 4x + 8)(x2 -4x - 8)
    • D. (x2 + 4x + 8)(x2 - 4x + 8)
    • Discuss
    • 3. If x + 1x = c + 1c , then the value of x =

    • Options
    • A. C, 1/C
    • B. C, C2
    • C. C, 2C
    • D. 0,1
    • Discuss
    • 4. If P = 99, then the value of P(P2+ 3P + 3) is

    • Options
    • A. 9999
    • B. 999999
    • C. 99999
    • D. 9999999
    • Discuss
    • 5. A man can cover a certain distance in 3 hours 36 minutes if he walks at the rate of 5 Km/hr. If he covers the same distance on cycle at the rate of 24 Km/hr, then the time taken by him in minutes is

    • Options
    • A. 40
    • B. 45
    • C. 50
    • D. 55
    • Discuss
    • 6. If x + 1x = 3, then x18 + x12 + x6 + 1 value is

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 7. In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ?APB is

    • Options
    • A. 30°
    • B. 45°
    • C. 60°
    • D. 90°
    • Discuss
    • 8. If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

    • Options
    • A. 6/7
    • B. 7/6
    • C. 5/6
    • D. 6/5
    • Discuss
    • 9. If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ? a2 )

    • Options
    • A. b2-a2+2c2b2+a2
    • B. b2+a2-2c2b2-a2
    • C. b2-a2-2c2b2+a2
    • D. b2-a2b2+a2+2c2
    • Discuss
    • 10. (1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

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


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