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time-35 minutes23 questionsdirections:each group of questions in this section is based on a set of conditionsin answering some of the questions,it may be useful to draw a rough diagramchoose the response that most accurately and completely answers each question and blacken the corresponding space on your answer sheetquestoins 1-6a man buys three outfits-x,y,and z-each of which consists of two articles of clothingeach of the articles of clothing is either brown gray or navyat least one of the outfits is made up of two articles different in color from one anotherno more than two of the outfits contain the same combination of colorsoutfit x contains at least one navy article of clothingoutfit x contains at least one brown article of clothing and does not contain a gray article1which one of the following can be the colors of the mans outfits?(a) x:gray and navy;y:brown and gray;z:gray and gray(b) x:brown and gray;y:brown and navy;z:gray and gray(c) x:navy and navy;y:brown and brown;z:brown and navy(d) x:brown and navy;y:brown and navy;z:brown and navy(e) x:navy and navy;y:brown and brown;z:navy and navy2if outfits x and y each consist of one brown article and one navy article of clothing,what combinations for outfit z?(a) 2(b) 3(c) 4(d) 5(e) 6 3if outfit z does not contain two brown items of clothing,what is the maximum number of items of clothing in the three outfits that can be navy?(a) 1(b) 2(c) 3(d) 4(e) 54if outfit y consists of two brown articles of clothing and outfit z consists of two navy items,what is the total number of possible color combinations for outfit x?(a) 1(b) 2(c) 3(d) 4(e) 5 5which one of the following color combinations for outfit z would be acceptable under any of the acceptable color combinations for outfits x and y?(a) gray and gray(b) brown and gray(c) brown and brown(d) brown and navy(e) navy and navy 6if no two outfits contain the same color combination but each contains at least one navy item,which one of the following is a complete and accurate list of the possible combinations for outfit x(a) gray and navy(b) brown and navy(c) navy and navy(d) gray and navy;brown and navy(e) gray and navy;navy and navyquestion 7-11five seats on a train are arranged in two rows that face each otherthe seats in row 1 are seat 1 and seat 2the seats in row 2 are seat 3,seat 4,and seat 5 in that orderseat 1 is directly across from seat 3seat 2 is directly across from seat 4seat 5 is not directly across from any other seatthree women-,betty,and carol-and two men-david edmund-each must be seated in one of me five seats,one person to a seatbetty sits in seat 4carol sits next to neither betty nor davidalice does not sit directly across from carol7if edmund sits directly across from betty,which one of the following must be true?(a) alice does not sit directly across from anyone(b) alice sits directly across from david(c) alice sits next to edmund(d) david sits next to alice(e) david sits next to edmund 8if edmund does not sit directly across from anyone,which one of the following is a complete and accurate list of those (other than edmund) who cannot sit in seat 1?(a) betty(b) carol(c) david(d) betty and carol(e) betty and david 9if none of the five passengers sits directly across from a passenger of the same sex,how many seating arrangements of the five passengers are possible?(a) exactly 0(b) exactly 1(c) exactly 2(d) exactly 3(e) exactly 410how many of the seats could be the one alice selects as her seat?(a) 1 only(b) 2 only(c) 3 only(d) 4 only(e) 5 only11how many different seating arrangements of the passengers might there be for row 2?(a) 2(b) 3(c) 4(d) 5(e) 6question 12-17six people-julio,kevin,may,norma,olivia,and tamio-participate in a track meettwo of them enter the marathon,two enter the relay,and two enter the sprinteach participant enters only one eventif kevin enters the marathon,then both julio andmay enter the relay,and if both julio and may enter the relay,then kevin enters the marathonif norma does not enter the sprint,then tamio enters the relayif olivia enters the relay,then julio does not enter the relayolivia and tamio do not both enter the relay12if kevin enters the marathon,then which one of the following cannot betrue?(a) julio enters the relay and norma enters the sprint(b) olivia enters the marathon and norma enters the sprint(c) tamio enters the marathon and olivia enters the sprint(d) tamio enters the relay and olivia enters the sprint(e) tamio enters the marathon and may enters the sprint13if norma enters the marathon,then which one of the following cannot be true?(a) both kevin and olivia enter the sprint(b) kevin enters the relay and olivia enters the sprint(c) kevin enters the marathon and may enters the relay(d) julio enters the marathon and may enters the relay(e) julio enters the marathon and kevin enters the relay14if both kevin and olivia enter the relay,then which one of the following must be true?(a) julion and tamio enter the marathon(b) may enters the marathon(c) may enters the sprint(d) tamio enters the sprint(e) norma enters the sprint15if both julio and kevin enter the same event,then which of the following can be true?julio enters the relaymay enters the marathonolivia enters the relay(a) only(b) only(c) only(d)and only(e),and 16if norma and olivia each enter different events,then which one of the following cannot be true?(a) kevin and olivia enter the marathon(b) julio and norma enter the relay(c) may and olivia enter the relay(d) norma and tamio enter the relay(e) olivia enters the sprint and tamio enters the relay17if both julio and kevin enter the relay,then which one of the followingmust be false? (a) may and norma enter the marathon(b) may and olivia enter the marathon(c) norma and tamio enter the sprint(d) may and norma enter the sprint(e) may enters the sprint and tamio enters marathonquestions 18-23seven lights-j,k,l,m,n,o,and p-have only two possible settings:on or offthey are arranged on a particular electric circuit as followsif k is on,l is off;if k is off,l is onj and n cannot both be onif m is off,either j or n is on;if either j or n is on,m is offif p is on,l is onif o is off,n is off;if o is on,n is onassume that the circuit is working as designed18any of the following can be true except:(a) j and o are both off(b) k and n are both off(c) k and p are both on(d) l and m are both on(e) n and o are both on19if l and o are

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