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The three highest-placing teams in a high school debate tournament are the teams from F,G,H high schools. Each team has exactly two members. The individuals on these three teams are M,N,O,P,S,and T. The following is the case:

S is on the team from G high school.

T is on the second-place team.

M and P are not on the same team.

P’s team places higher than N’s team.

The team from G high school places higher than the team form H high school.

S’s teammate could be any one of the following except:

(A)M

(B)N

(C)O

(D)P

(E)T

ANSWER: B

A competition is being held to select a design for college’s new student union building. Each of six architects–G,J,L,M,P,and V–has submitted exactly one design. There are exactly six designs,and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions:

M’s design is presented at some time before L’s and after P’s.

G’s design is presented either at some time before J’s or at some time after L’s, but not both.

V’s design is presented either at some time before G’s or at some point after P’s, but not both.

If J’s design is presented at some time before M’s, then each of the following could be true except:

(A) J’s design is presented second.

(B) P’s design is presented third.

(C) P’s design is presented fourth.

(D) J’s design is presented fifth.

(E) L’s design is presented fifth.

ANSWER:D

Five performers–T,W,X,Y,and Z–are recruited by three talent agencies–F Agency,P Agency,and S Agency.each performers signs with exactly one of the agencies and each agency signs at least one of the performers. The performers’ signing with the agencies is in accord with the following:

X sings with F Agency.

X and Y do not sign with the same agency as each other.

Z signs with the same agency as Y.

If T signs with S Agency,W also signs with S Agency.

Which one of the following could be a complete and accurate list of the performers who sign with each agency?

(A) F Agency: X P Agency:W S Agency: T,Y,Z

(B) F Agency: X P Agency:T,W S Agency: Y,Z

(C) F Agency: X P Agency:T,Y S Agency: W,Z

(D) F Agency: Y,Z P Agency:X S Agency: T,W

(E) F Agency: X,Y,Z P Agency:T S Agency: W

ANSWER:B

Detectives investigating a citywide increase in burglaries questioned exactly seven suspects–S,T,V,W,X,Y,and Z–each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following:

T was questioned on day three.

The suspect questioned on day four did not confess.

S was questioned after W was questioned.

Both X and V were questioned after Z was questioned.

No suspects confessed after W was questioned.

Exactly two suspects confessed after T was questioned.

Which one of the following could be true?

A. X was questioned on day one

B. V was questioned on day two

C. Z was questioned on day four

D. W was questioned on day five

E S was questioned on day six

ANSWER: B

Three short seminars–Goals, Objections, and Persuasion–and three long seminars–Humor, Negotiating, and Telemarketing–will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions:

Exactly one short seminar and exactly one long seminar will be given each day.

Telemarketing will not be given until both Goals and Objections have been given.

Negotiating will not be given until Persuasion has been given.

If Goals is given on the first day of the sales training conference, then which one of the following could be true?

A. Negotiating is given on the first day

B. Objections is given on the first day.

C. Persuasion is given on the first day.

D. Humor is given on the second day.

E. Telemarketing is given on the second day.

ANSWER: E

Workers at a water treatment plant open eight valves-G,H,I,K,L,N,O, and P-to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions:

Which one of the following could be the order, from first to last, in which the valves are opened?

A. P,I,K,G,N,H,O,L

B. P,G,K,N,L,H,O,L

C. G,K,I,P,H,O,N,L

D. N,K,P,H,O,I,L,G

E. K,I,N,G,P,H,O,L

ANSWER : A

answer：11

Solution：

let n equals the difference between Zoe’s and Chloe’s ages. The condition works when n has 9 factors. By inspection, 36 has 9 factors. Thus, Joey is 38 and will be 74 when Zoe is 37, so the answer is 7+4=11 .

解答：

假设n是田田和妈妈的年龄差，从题意得知n有9个因子。据观察得知36有9个因子。所以，爸爸今年38，当田田37岁的时候爸爸74岁。4+7=11.

Joey and Chloe and their daughter Zoe all have the same birthday. Joey is 1 year older than Chloe, and Zoe is exactly 1 year old today. Today is the first of the 9 birthdays on which Chloe’s age will be an integral multiple of Zoe’s age. What will be the sum of the two digits of Joey’s age the next time his age is a multiple of Zoe’s age?

爸爸小朱、妈妈小敏和他们的女儿田田同一天生日。小朱比小敏大1岁，田田今天正好1岁。小敏有9个生日的年龄是田田年龄的整数倍，今天是第一个。请问：下一次小朱年龄是田田年龄整数倍的时候，父女俩的年龄和是多少？