saifoo.khan
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?
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saifoo.khan
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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
problemsolver
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i would hazard a guess at B)
mukushla
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b or c only
-1<1<0<2<6
-1<0<1<2<6
saifoo.khan
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\[Guess = \checkmark\]
mukushla
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wait ... i made a mistake...
mukushla
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problemsolver is right...only b
problemsolver
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sequence can be like -2,0,2,3,6
mukushla
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nope ...... 6=2*3
mukushla
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-1<0<1<2<6
problemsolver
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oops ... will be -3 , 0 , 1,2 ,6
saifoo.khan
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How so?
mukushla
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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
saifoo.khan
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Ah, i see..
mukushla
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if c=0 then a must be negative and b must be positive this is contradiction again since 0>b
mukushla
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for d u can prove like prev proof for c=0