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Home Aptitude Elementary Algebra See What Others Are Saying!
  • Question
  • If a2 + b2 + c2 = 2 (a ? b ? c) ? 3, then the value of 2a ? 3b + 4c is


  • Options
  • A. 1
  • B. 7
  • C. 2
  • D. 3

  • Correct Answer


  • Explanation

    Given that :- a2 + b2 + c2 = 2 (a ? b ? c) ? 3
    ? a2 + b2 + c2 - 2 (a ? b ? c) + 3 = 0
    ? a2 + b2 + c2 - 2a + 2b + 2c + 3 = 0
    ? ( a2 + 1 - 2a ) + ( b2 + 1 + 2b ) + ( c2 + 1 + 2c ) = 0
    ? ( a - 1 )2 + ( b + 1 )2 + ( c + 1 )2 = 0
    This is possible when ( a - 1 )2 = 0, ( b + 1 )2 = 0, and ( c + 1 )2 = 0
    ? a = 1, b = ?1, c = ?1
    Thus, 2a ? 3b + 4c = 2 (1) ? 3 (?1) + 4 (?1)
    2a ? 3b + 4c = 2 + 3 ? 4 = 1.


  • More questions

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss


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