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  • Question
  • p3 + q3 + r3 ? 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 ? 3abc?


  • Options
  • A. 4
  • B. 8
  • C. 2
  • D. 12

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

    • Options
    • A. 8
    • B. 9
    • C. 7
    • D. 10
    • Discuss
    • 2. What is the unit digit of 15+25+35+...+205 ?

    • Options
    • A. 0
    • B. 5
    • C. 2
    • D. 4
    • Discuss
    • 3. What is the value of 13×7+17×11+111×15+...+1899×903 ?

    • Options
    • A. 21/509
    • B. 18/403
    • C. 25/301
    • D. 29/31
    • Discuss
    • 4. If 1+121+141+161+181-131-151-17 = 1+ 1x , then what is the value of x?

    • Options
    • A. 6
    • B. 8
    • C. 5
    • D. 7
    • Discuss
    • 5. If 11+11+11+1x = 58 , then what is the value of x?

    • Options
    • A. 2
    • B. 3
    • C. 1
    • D. 4
    • Discuss
    • 6. If ? and ? are the roots of the equation x2+ x ? 1 = 0 , then what is the equation whose roots are ?5 and ?5 ?

    • Options
    • A. x2 + 7x ? 1 = 0
    • B. x2 ? 7x ? 1 = 0
    • C. x2 ? 11x ? 1 = 0
    • D. x2 + 11x ? 1 = 0
    • Discuss
    • 7. If x and y are natural numbers such that x + y = 2017, then what is the value of (? 1)x+ (? 1)y ?

    • Options
    • A. 2
    • B. ? 2
    • C. 0
    • D. 1
    • Discuss
    • 8. If [?(a2 + b2 + ab)] + [?(a2 + b2 ? ab)] = 1, then what is the value of (1 ? a2 )(1 ? b2 )?

    • Options
    • A. 1/4
    • B. 4/7
    • C. 5/4
    • D. 3/4
    • Discuss
    • 9. If 3x + 4y ? 11 = 18 and 8x ? 6y + 12 = 6, then what is the value of 5x ? 3y ? 9?

    • Options
    • A. 18
    • B. ? 9
    • C. ? 27
    • D. ? 18
    • Discuss
    • 10. If a + b + c = 7/12, 3a ? 4b + 5c = 3/4 and 7a ? 11b ? 13c = ? 7/12, then what is the value of a + c?

    • Options
    • A. 1/2
    • B. 5/12
    • C. 3/4
    • D. 1/4
    • Discuss


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