You should find beneath new group of PS complications: 1 . A family group consisting of one particular mother, one father, two daughters and a child is getting a road trip within a sedan. The sedan provides two the front seats and three back seats. If some of the parents must drive plus the two children refuse to sit down next to each other, how many possible seating arrangements are there? В (A) 28В (B) 32В (C) 48В (D) 60В (E) 120В 2. What is the probability that the 3-digit positive integer selected at random may have one or more " 7" in the digits? (A) 271/900(B) 27/100В (C) 7/25В (D) 1/9В (E) 1/103. A sphere is definitely inscribed in a cube with an edge of 10. What is the shortest possible distance from of the vertices of the cube to the surface area of the world? В (A 10( sqrt3- 1)В (B) 5В (C) 10( sqrt2 -- 1)В (D) 5( sqrt3 -- 1)В (E) 5( sqrt2 -- 1)В 4. A contractor predicted that his 10-man crew could full the construction in 110 days and nights if there was clearly no rainfall. (Assume the crew can not work on any kind of rainy working day and rain is the just factor that could deter the crew coming from working). Nevertheless , on the 61-st day, following 5 days of rain, this individual hired 6 more persons and completed the job early. In the event the job was done in 90 days, just how many days after day sixty had rainwater? В (A) 4В (B) 5В (C) 6В (D) 7В (E) eighty five. If s and t are confident integer in a way that s/t=64. doze, which from the following could possibly be the remainder the moment s is definitely divided by simply t? В (A) 2В (B) 4В (C) 8В (D) 20В (E) 45В 6. A committee of 6 is usually chosen by 8 men and a few women to be able to contain in least a couple of men and 3 females. How a number of committees could be formed in the event that two of the boys refuse to provide together? (A) 3510(B) 2620(C) 1404(D) 700(E) 6357. If perhaps x is definitely positive, which in turn of the pursuing could be the accurate ordering of 1/x, two times and x^2? В I. x^2< 2x< 1/xВ II. x^2< 1/x< 2xВ III. two times