GRE Analytical

A genealogist has determined A, B, C, D, E, F and G are the father, the mother, the aunt, the brother, the sister, the wife, and the daughter of Z, but she has been unable to determine which person has which status. She knows: - C and D are of the same sex -A and B are not the same sex -F was born before A -D is not the mother of Z *How many of the seven people: A, B, C, D, E, F, G are female

there is only a father and brother relation so there are 2 males which means there are 5 females

For a panel of professors to asses the State of the Union Message on public TV, the producer must choose two Republicans and two Democrats. At least one professor must be an economist and at least one military expert -Available Republicans are Alan, Brown, Caldwell, Darvey and Elzer -Available Democrats are Francis, Garland, Humes, and Indroff -Caldwell, Francis, and Garland are economist -Darvey and Indroff are military experts -Francis will not sit in the same room with Caldwell, and will take part only if Alan is on the panel -Darvey refuses to take part with Garland -Elzer refuses to take part with Indroff *How many acceptable panels can the producer put together?

9

A genealogist has determined A, B, C, D, E, F and G are the father, the mother, the aunt, the brother, the sister, the wife, and the daughter of Z, but she has been unable to determine which person has which status. She knows: - C and D are of the same sex -A and B are not the same sex -F was born before A -D is not the mother of Z *if E is B's grandfather, then which of the following must be true? -E is B's aunt -Z is C's son -A is Z's brother -D is F's husband -C is B's aunt

A is Z's brother because there is only one available grandfather-grandchild relationship: E must be Z's father and B his daughter. if B is female then A is male and must be Z's brother.

A genealogist has determined A, B, C, D, E, F and G are the father, the mother, the aunt, the brother, the sister, the wife, and the daughter of Z, but she has been unable to determine which person has which status. She knows: - C and D are of the same sex -A and B are not the same sex -F was born before A -D is not the mother of Z *Which of the following must be true? -A is female -B is female -C is female -D is male -F is male

C is female -C and D are same sex and A and B are not same sex, either A or B has to be female which means C and D are females.

A genealogist has determined A, B, C, D, E, F and G are the father, the mother, the aunt, the brother, the sister, the wife, and the daughter of Z, but she has been unable to determine which person has which status. She knows: - C and D are of the same sex -A and B are not the same sex -F was born before A -D is not the mother of Z *if G is daughter of Z, which of the following must be true? -A and C are of the same sex -A and D are of the same sex -C is not of the same sex as B -E is not of the same sex as F -F is not the same sex as G

E is not the same sex as F because you know C and D are females and either A or B is female so one of the relatives E, F, G are male. If G is the daughter of Z then G is obviously female and either E or F is male therefore these two are not the same sex

A genealogist has determined A, B, C, D, E, F and G are the father, the mother, the aunt, the brother, the sister, the wife, and the daughter of Z, but she has been unable to determine which person has which status. She knows: - C and D are of the same sex -A and B are not the same sex -F was born before A -D is not the mother of Z * If A is Z's wife, all of the following could be true EXCEPT: -F is Z's daughter -C is B's aunt -C is Z's sister -D is Z's sister -E is Z's father

F is Z's daughter because since A was born after F, if a is the mother of Z's daughter, F cannot be the daughter

For a panel of professors to asses the State of the Union Message on public TV, the producer must choose two Republicans and two Democrats. At least one professor must be an economist and at least one military expert -Available Republicans are Alan, Brown, Caldwell, Darvey and Elzer -Available Democrats are Francis, Garland, Humes, and Indroff -Caldwell, Francis, and Garland are economist -Darvey and Indroff are military experts -Francis will not sit in the same room with Caldwell, and will take part only if Alan is on the panel -Darvey refuses to take part with Garland -Elzer refuses to take part with Indroff *If Alan and Brown are chosen as the Republican's, who can be chosen as the Democrats?

Francis and Indroff or Garland and Indroff

A genealogist has determined A, B, C, D, E, F and G are the father, the mother, the aunt, the brother, the sister, the wife, and the daughter of Z, but she has been unable to determine which person has which status. She knows: - C and D are of the same sex -A and B are not the same sex -F was born before A -D is not the mother of Z *if A and D are sisters, all of the following must be true EXCEPT: -B is a male -A is Z's mother -D is Z's aunt - G is Z's daughter -F is not Z's brother

G is Z's daughter because there is only one possible pair of sister: the mother and the aunt. if A and D represent the mother and the aunt, since D is not the mother, A must be Z's mother. Further, since A must be female, B must be male. Then, since A is Z's mother and since F was born before A, F could not be Z's brother. A, B, and D are eliminated as daughters but this still leaves several possibilities.

For a panel of professors to asses the State of the Union Message on public TV, the producer must choose two Republicans and two Democrats. At least one professor must be an economist and at least one military expert -Available Republicans are Alan, Brown, Caldwell, Darvey and Elzer -Available Democrats are Francis, Garland, Humes, and Indroff -Caldwell, Francis, and Garland are economist -Darvey and Indroff are military experts -Francis will not sit in the same room with Caldwell, and will take part only if Alan is on the panel -Darvey refuses to take part with Garland -Elzer refuses to take part with Indroff *which of the following is NOT an acceptable panel? -Francis, Humes, Alan, Darvey -Francis, Indroff, Alan, Darvey -Garland, Humes, Alan, Caldwell -Garland, indroff, alan, caldwell -Humes, Indroff, Brown, Caldwell

Garland, Humes, Alan and Caldwell

For a panel of professors to asses the State of the Union Message on public TV, the producer must choose two Republicans and two Democrats. At least one professor must be an economist and at least one military expert -Available Republicans are Alan, Brown, Caldwell, Darvey and Elzer -Available Democrats are Francis, Garland, Humes, and Indroff -Caldwell, Francis, and Garland are economist -Darvey and Indroff are military experts -Francis will not sit in the same room with Caldwell, and will take part only if Alan is on the panel -Darvey refuses to take part with Garland -Elzer refuses to take part with Indroff *If Garland is chosen, which of the following must be true?: I. Any acceptable panel must contain Indroff II. Any acceptable panel must contain Alan. III. There is no acceptable panel which contains Brown

I only- any acceptable panel must contain Indroff