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saifoo.khan Group Title

a,b,c,d and e are all integers where a<b<c<d<e if c,d and e are each greater than the product of the next two smaller values(for example d>bc) and e=6 which of the following could equal zero?

  • 2 years ago
  • 2 years ago

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  1. saifoo.khan Group Title
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    A)a only B)b only C)b or c only D)a,b and c only E)a,b,c,or d only

    • 2 years ago
  2. problemsolver Group Title
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    i would hazard a guess at B)

    • 2 years ago
  3. mukushla Group Title
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    b or c only -1<1<0<2<6 -1<0<1<2<6

    • 2 years ago
  4. saifoo.khan Group Title
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    \[Guess = \checkmark\]

    • 2 years ago
  5. mukushla Group Title
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    wait ... i made a mistake...

    • 2 years ago
  6. mukushla Group Title
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    problemsolver is right...only b

    • 2 years ago
  7. problemsolver Group Title
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    sequence can be like -2,0,2,3,6

    • 2 years ago
  8. mukushla Group Title
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    nope ...... 6=2*3

    • 2 years ago
  9. mukushla Group Title
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    -1<0<1<2<6

    • 2 years ago
  10. problemsolver Group Title
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    oops ... will be -3 , 0 , 1,2 ,6

    • 2 years ago
  11. saifoo.khan Group Title
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    How so?

    • 2 years ago
  12. mukushla Group Title
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    well... we must prove other options are not right for example suppose a=0 then b=1 c=2 d=3 ------> contradiction because 0<1<2<3<6 ,,, 6=2*3

    • 2 years ago
  13. saifoo.khan Group Title
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    Ah, i see..

    • 2 years ago
  14. mukushla Group Title
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    if c=0 then a must be negative and b must be positive this is contradiction again since 0>b

    • 2 years ago
  15. mukushla Group Title
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    for d u can prove like prev proof for c=0

    • 2 years ago
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