Q19

[ShehryarB30]

Could you pls explain this

[ohthatpatrick]

RULES:
3 - 7 - 5
2 - 8
4: Thu or Fri
No consecutives together
1, 6: floaters

If 3 is on Thurs,
__ __ | 3 __ | __ __ | __ __

that means that the 3 - 7 - 5 will have to go Thu / Fri / Sat
__ __ | 3 __ | 7 __ | 5 __

Who's left?
2 - 8
4: thu or fri
1, 6 floaters

Do we know whether 4 is Thu or Fri? Yes, because the "no consecutives" rule means that 4 can't be with 3, it'll have to go on Fri.
__ __ | 3 __ | 7 4 | 5 __

How about 2 - 8?
2 can't go last or in Thu with 3, so it'll have to go Wed.
2 __ | 3 __ | 7 4 | 5 __

8 can go Thu / Sat. 1 and 6 are floaters.

(A) Sure, 2 6 | 3 8 | 7 4 | 5 1

(B) 2 is on Thu.
(C) 6 on Thu forces 8 on Sat, which forces 1 on Wed, next to 2.
(D) 7 is on Fri.
(E) Fri is full: 7, 4