## saifoo.khan 3 years ago 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?

1. saifoo.khan

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. problemsolver

i would hazard a guess at B)

3. mukushla

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

4. saifoo.khan

\[Guess = \checkmark\]

5. mukushla

wait ... i made a mistake...

6. mukushla

problemsolver is right...only b

7. problemsolver

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

8. mukushla

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

9. mukushla

-1<0<1<2<6

10. problemsolver

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

11. saifoo.khan

How so?

12. mukushla

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

13. saifoo.khan

Ah, i see..

14. mukushla

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

15. mukushla

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