a,b,c,d and e are all integers where abc) and e=6 which of the following could equal zero?

Question

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?

saifoo.khan · Answer

A)a only B)b only C)b or c only D)a,b and c only E)a,b,c,or d only

anonymous · Answer

i would hazard a guess at B)

anonymous · Answer

b or c only 
-1<1<0<2<6
-1<0<1<2<6

saifoo.khan · Answer

$$Guess = \checkmark$$

anonymous · Answer

wait ... i made a mistake...

anonymous · Answer

problemsolver is right...only b

anonymous · Answer

sequence can be like -2,0,2,3,6

anonymous · Answer

nope ...... 6=2*3

anonymous · Answer

-1<0<1<2<6

anonymous · Answer

oops ... will be -3 , 0 , 1,2 ,6

saifoo.khan · Answer

How so?

anonymous · Answer

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 · Answer

Ah, i see..

anonymous · Answer

if c=0 then a must be negative and b must be positive this is contradiction again since 0>b

anonymous · Answer

for d u can prove like prev proof for c=0