Logical Reasoning and Problem Solving

Directions: In a certain society, there are two marriage groups, Red and Brown. No marriage is permitted within a group. On marriage, males become part of their wife's group: women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden.
A Brown female could have had
I. a grandfather born Red
II. a grandmother born Red
III. two grandfathers born Brown

Directions: In a certain society, there are two marriage groups, Red and Brown. No marriage is permitted within a group. On marriage, males become part of their wife's group: women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden.
A male born into the Brown group may have

Directions: In a certain society, there are two marriage groups, Red and Brown. No marriage is permitted within a group. On marriage, males become part of their wife's group: women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden.
Which of the following is not permitted under the rules stated?

Directions: In a certain society, there are two marriage groups, Red and Brown. No marriage is permitted within a group. On marriage, males become part of their wife's group: women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden.
If widowers and divorced males retained the group they had upon marrying, which of the following would have been permissible?(Assume no previous marriages occurred)

Directions: Tom wishes to enroll in Latin AA, Sanskrit A, Armenian Literature 221, and Celtic Literature 701. Latin AA meets five days a week, either from 9 to 11 A.M or from 2 to 4 P.M. Sanskrit A meets either Tuesday and Thursday from 12 noon to 3 P.M., or Monday, Wednesday, and Friday from 10 A.M to 12 noon. Armenian Literature 221 meets either Monday, Wednesday, and Friday from 12:30 to 2 P.M., or Tuesday and Thursday from 10:30 A.M to 12:30 P.M Celtic Literature 701 meets by arrangement with the instructor, the only requirement being that it meet for one four-hour session or two two-hour sessions per week, between 9A.M and 4 P.M from Monday to Friday, beginning on the hour
Which combination is impossible for Tom?

Directions: Tom wishes to enroll in Latin AA, Sanskrit A, Armenian Literature 221, and Celtic Literature 701. Latin AA meets five days a week, either from 9 to 11 A.M or from 2 to 4 P.M. Sanskrit A meets either Tuesday and Thursday from 12 noon to 3 P.M., or Monday, Wednesday, and Friday from 10 A.M to 12 noon. Armenian Literature 221 meets either Monday, Wednesday, and Friday from 12:30 to 2 P.M., or Tuesday and Thursday from 10:30 A.M to 12:30 P.M Celtic Literature 701 meets by arrangement with the instructor, the only requirement being that it meet for one four-hour session or two two-hour sessions per week, between 9A.M and 4 P.M from Monday to Friday, beginning on the hour
Which of the following gives the greatest number of alternatives for scheduling Celtic Literature, assuming that all other courses

Directions: Tom wishes to enroll in Latin AA, Sanskrit A, Armenian Literature 221, and Celtic Literature 701. Latin AA meets five days a week, either from 9 to 11 A.M or from 2 to 4 P.M. Sanskrit A meets either Tuesday and Thursday from 12 noon to 3 P.M., or Monday, Wednesday, and Friday from 10 A.M to 12 noon. Armenian Literature 221 meets either Monday, Wednesday, and Friday from 12:30 to 2 P.M., or Tuesday and Thursday from 10:30 A.M to 12:30 P.M Celtic Literature 701 meets by arrangement with the instructor, the only requirement being that it meet for one four-hour session or two two-hour sessions per week, between 9A.M and 4 P.M from Monday to Friday, beginning on the hour
If the Celtic instructor insists on holding at least one session on Friday, in which of the following can Tom enroll?
(I) Armenian Literature on Monday, Wednesday, and Friday
(II) Sanskrit on Monday, Wednesday, and Friday

(1) Ashland is north of East Liverpool and west of Coshocton
(2) Bowling Green is north of Ashland and west of
(3) Dover is south and east of Ashland
(4) East Liverpool is north of Fredricktown and east of Dover
(5) Fredricktown is north of Dover and west of Ashland
(6) Coshocton is south of Fredricktown and west of Dover
Which of the numbered statements gives information that can be deduced from one or more of the other statement?

(1) Ashland is north of East Liverpool and west of Coshocton
(2) Bowling Green is north of Ashland and west of Fredericktown
(3) Dover is south and east of Ashland(4) East Liverpool is north of Fredricktown and east of Dover
(5) Fredricktown is north of Dover and west of Ashland
(6) Coshocton is south of Fredricktown and west of Dover
Which of the following must be both north and east of Fredricktown?
(I) Ashland
(II) Coshocton
(III) East Liverpool

(1) Ashland is north of East Liverpool and west of Coshocton
(2) Bowling Green is north of Ashland and west of Fredericktown
(3) Dover is south and east of Ashland
(4) East Liverpool is north of Fredricktown and east of Dover
(5) Fredricktown is north of Dover and west of Ashland
(6) Coshocton is south of Fredricktown and west of Dover
Which of the following towns must be situated both south and west of at least one other town?

Directions: Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness, and Hope
(1) Class 1 spelunkers may not attempt cave Ewell, Fields or Hope
(2) Class 2 spelunkers may not attempt Hope
(3) Class 3 spelunkers may attempt any cave
(4) Cave Caesar may be attempted only by spelunkers who have previously explored cave Benny
(5) Cave Fields may be attempted only by spelunkers who have previously explored cave Ewell
(6) Only two of caves Benny, Caeser, Ewell, Fields, and Hope may be attempted by any explorer in a single tour
What is the maximum number of caves that a class 3 spelunker who has previously explored only cave Benny may include in a single tour?

Directions: Read the following information and answer the given question.

(1) Ashland is north of East Liverpool and west of Coshocton.
(2) Bowling Green is north of Ashland and west of Fredericktown.
(3) Dover is South-East of Ashland.
(4) East Liverpool is north of Fredricktown and east of Dover.
(5) Fredricktown is north of Dover and west of Ashland.
(6) Coshocton is south of Fredricktown and west of Dover.

Which of the towns mentioned is furthest to the northwest?

Directions: Read the following information and answer the given question.

Tom wishes to enroll in Latin AA, Sanskrit A, Armenian Literature 221, and Celtic Literature 701. Latin AA meets five days a week, either from 9 to 11 a.m. or from 2 to 4 p.m. Sanskrit A meets either Tuesday and Thursday from 12 noon to 3 p.m, or Monday, Wednesday and Friday from 10 a.m. to 12 noon. Armenian Literature 221 meets either Monday, Wednesday and Friday from 12:30 p.m. to 2 p.m, or Tuesday and Thursday from 10:30 a.m. to 12:30 p.m. Celtic Literature 701 meets by arrangement with the instructor, the only requirement being that it meets for one four-hour session or two two-hour sessions per week, between 9 a.m. and 4 p.m. from Monday to Friday, beginning on the hour.

Which of the following additional courses, meeting as indicated, can Tom take?

Directions: Read the following information and answer the given question.

Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness and Hope.

(1) Class 1 spelunkers may not explore cave Ewell, Fields or Hope.
(2) Class 2 spelunkers may not explore Hope.
(3) Class 3 spelunkers may explore any cave.
(4) Cave Caesar may be explored only by spelunkers who have previously explored cave Benny.
(5) Cave Fields may be explored only by spelunkers who have previously explored cave Ewell.
(6) Only two of caves Benny, Caeser, Ewell, Fields and Hope may be explored by any explorer in a single tour.

In how many different ways may a class 1 spelunker, who has never explored any of the eight caves before, set up a tour of three caves, if he wishes to explore caves Abbott and Caesar?

Directions: Read the following information and answer the given question.

Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness and Hope.

(1) Class 1 spelunkers may not explore cave Ewell, Fields or Hope.
(2) Class 2 spelunkers may not explore Hope.
(3) Class 3 spelunkers may explore any cave.
(4) Cave Caesar may be explored only by spelunkers who have previously explored cave Benny.
(5) Cave Fields may be explored only by spelunkers who have previously explored cave Ewell.
(6) Only two of caves Benny, Caeser, Ewell, Fields and Hope may be explored by any explorer in a single tour.

A class 2 spelunker, who has previously explored cave Ewell, may be restricted in choosing a tour by which of these rules?

I. Rule (4)
II. Rule (5)
III. Rule (6)