Freshers India

Martina is sitting in the desk behind Jerome.
Jerome is sitting in the desk behind Bryant.
Bryant is sitting in the desk behind Martina.
If the first two statements are true, the third statement is                        

Battery X lasts longer than Battery Y.
Battery Y doesn't last as long as Battery Z.
Battery Z lasts longer than Battery X.
If the first two statements are true, the third statement is                        

Spot is bigger than King and smaller than Sugar.
Ralph is smaller than Sugar and bigger than Spot.
King is bigger than Ralph.
If the first two statements are true, the third statement is                        

Middletown is north of Centerville.
Centerville is east of Penfield.
Penfield is northwest of Middletown.
If the first two statements are true, the third statement is                        

Fact 1:All dogs like to run.
Fact 2:Some dogs like to swim.
Fact 3:Some dogs look like their masters.
If the first three statements are facts, which of the following statements must also be a fact?
I:All dogs who like to swim look like their masters.
II:Dogs who like to swim also like to run.
III:Dogs who like to run do not look like their masters.                        

Fact 1:Jessica has four children
Fact 2:Two of the children have blue eyes and two of the children have brown eyes.
Fact 3:Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?
I:At least one girl has blue eyes.
II:Two of the children are boys.
III:The boys have brown eyes.