Di Section Tests

Eight women, including Ms Irwin, went into a department store to buy one item each. Each went directly to the floor where the item she needed was sold, made the purchase, and left immediately. Two items were sold on each of the store’s four floors (ground floor through fourth floor). Can you find each woman's full name (one was named Grace), the item she bought, the floor it was sold on, and, in the cases of the women who left the ground floor and how each arrived at and left the floor of their purchase? (1) The three women who used the escalator at least once were Elsa, Ms King, and the woman who bought the oil painting; (2) The dress and the radio were sold on the same floor; (3) The three women who used the elevator to get both up and down were Delia (who bought the lamp), Ms Long, and the woman who bought the radio; (4) Ms Nelson got her item on the fourth floor; (5) Clara did not buy the ring. She and Beth went to the same floor; (6) The three women who did not use the elevator at all were Elsa, Ms Miller, and the woman who bought the coat; (7) Helen used both the elevator and escalator; The woman who bought the linens went down by escalator; (9) Ms Jonas and Alice took the elevator to their different floors. Flo and the woman who bought the books took the escalator up together, since they were going to the same floor. All four rode down on the elevator at the same time and met Ms Perkins as she entered it on the ground floor; (10) The only woman to use the stairs was Ms Owens, who did not make her purchase on the third floor

Substitute digits for the letters to make the following addition true. GEORGE GINNY +RON --------------------POTTER please take care of the allignment here ...all the alphabets of each line are aligned ... from left to right .... Note that the leftmost letter can't be zero in any word. Also, there must be a one-to-one mapping between digits and letters. e.g. if you substitute 9 for the letter E, no other letter can be 9 and all other E in the puzzle must be 9.

Problem 2 Eight women, including Ms Irwin, went into a department store to buy one item each. Each went directly to the floor where the item she needed was sold, made the purchase, and left immediately. Two items were sold on each of the store’s four floors (ground floor through fourth floor). Can you find each woman's full name (one was named Grace), the item she bought, the floor it was sold on, and, in the cases of the women who left the ground floor and how each arrived at and left the floor of their purchase? (1) The three women who used the escalator at least once were Elsa, Ms King, and the woman who bought the oil painting; (2) The dress and the radio were sold on the same

floor; (3) The three women who used the elevator to get both up and down were Delia (who bought the lamp), Ms Long, and the woman who bought the radio; (4) Ms Nelson got her item on the fourth floor; (5) Clara did not buy the ring. She and Beth went to the same floor; (6) The three women who did not use the elevator at all were Elsa, Ms Miller, and the woman who bought the coat; (7) Helen used both the elevator and escalator; ( The woman who bought the linens went down by escalator; (9) Ms Jonas and Alice took the elevator to their different floors. Flo and the woman who bought the books took the escalator up together, since they were going to the same floor. All four rode down on the elevator at the same time and met Ms Perkins as she entered it on the ground floor; (10) The only woman to use the stairs was Ms Owens, who did not make her purchase on the third floor. Problem # 3 Six people with varying lifestyles had a certain breakfast time routine. They each had a particular breakfast, one being: anything available, at a certain time whilst enjoying a breakfast pastime. Breakfast times (all AM): 6:30, 6:50, 7:15, 7:35, 7:50 and 8:30. From the five clues given below name what each person ate while doing what, and when. (1) The person who read the newspaper had breakfast later than the person who liked to listen to the news on the radio, but earlier than the person who enjoyed silence at breakfast time. (2) Jasmine had her breakfast directly before the person who had toast, who had breakfast directly before the person who listened to music on the radio. (3) Cereal was eaten 20 minutes after the person who watched the Breakfast News on TV. Shivvy ate breakfast at 7:15. Lalit had breakfast sometime after Madhuban. A banana was not eaten at half past the hour. (4) Cuckoo’s four cups of black coffee was not the breakfast taken last. Sausages & eggs was eaten directly after the toast. (5) Jog had his breakfast directly after the person who ate sausage & egg, but directly before the person whose idea of a fun breakfast was shouting at the children.

Problem # 4 Take a three by three square grid which has the number '1' already inserted in the third row, middle square. You have to complete it by putting eight different prime numbers in the remaining eight empty squares, so that the rows, columns and diagonals add up to the same total; and it must be the smallest possible total under the conditions. Also, the number in the middle square is the average of the two numbers directly above and directly below it and the third largest number is not in the righthand column, and every square contains one or two digits. Problem # 5 A, B, C, D and E decide to run a race. Before the race, five predictions of the outcome are made: (1) ECBAD (as in A first, C second, etc), (2) DAECB, (3) DCBAE, (4) BDAEC, (5) DCBEA. No prediction was completely correct but two of them correctly predicted the placements of exactly two of the runners. The remaining three predictions were totally wrong. What was the actual outcome of the race?

Problem # 6

“We’ve just been discussing our health,” says A, “and we’ve discovered that between us we share the same five complaints, and the same prescribed tablets for them. Each of us has two complaints, but no two have both the same, and no more than two of us take each sort of tablets. For instance two take red tablets, two blue, and so on. I don’t have green ones. I take one lot the same as E, but they are not yellow, and I do not take kidney tablets.” B says, “I don’t have green tablets. One heart patient also has tablets for sleeplessness.” C says “I don’t have kidney tablets. I take one lot the same as E which are not for the heart. I don’t take blue ones.” D says, “I don’t have heart trouble. My tablets are not yellow. Those who take green tablets do not also take blue ones.” E says, “I take white tablets which are not for the heart. The ones with nerves do not have indigestion, and nerve tablets are not yellow.” What colour are the heart tablets? Who takes them for nerves? Problem # 7 Let's say you're a big fat explorer who's camped in a jungle next to a river. Let's also say that you're a curious little dude who wants to know things which are none of your business – one of them being what's upstream except for more water flowing downstream. Lastly, let's say you can paddle a boat like there's no tomorrow. So you grab your trusty native, plonk your butt into the boat and paddle the hell off. The current flows and you paddle at a constant rate and when you stop paddling you change the boat's speed so that it immediately (assume so for the heck of this little puzzle) moves at the speed of the current. Trusty, who has a watch and notebook does his best to keep ship's log of your great voyage but you later find this is how it reads: 08:30: We leave camp. Bossman paddles upstream; 10:10: We pass a blue jetty and a shirt which is drifting down with the stream; 10:15: Fatman stops paddling and rests; ?: We are again abreast of the blue jetty. Fat Bossman resumes his paddling upstream; 11:16: Mad Fatman stops paddling, turns the boat in midstream, and rests; 11:34: The paddling downstream begins; ?: Once again abreast of the blue jetty; 12:30 : We pass the shirt; ?: We reach the camp; ?: The shirt reaches the camp. What are the four missing times?

Q1. Cozy Valley Motors, as a mega-dealership, sells eight different makes of vehicles. Each make has a service manager, one being Mr. Evers,

who arranges maintenance, repairs, loaner vehicles, etc. for owners of that brand of car or truck; one services Toyota buyers. The eight service managers have offices in a row along one wall of the service facility, with the offices numbered #1 through #8 left-to-right as viewed from where customers drive into the garage. From the information below, can you solve this Challenger Logic Puzzle of the full name of each service manager, the make of vehicle he works with, and the location (#1-# of his office in Cozy Valley Motors? 1. Walt's office is next door to the that of the Hummer service manager. 2. Mike's office is immediately adjacent to those of Hayden and the Dodge service manager. 3. Mike was named service manager of the year for 2005, while Mr. Green won the award in 2004. 4. Alvarez isn't the Dodge service manager. 5. Steve is neither the Buick nor the Dodge service manager. 6. Dailey isn't the service manager for either Dodge or Buick. 7. Mr. Bryant is service manager for Jeeps; Ray likes having his office right next to Bryant because they cover for each during lunch and breaks. 8. Pete and Hayden both drive Hummers. 9. Ted isn't service manager for Kia. 10. Ray isn't the Buick expert. 11. Pete doesn't work as the Dodge service manager. 12. Pete's office is immediately adjacent to Mr. Jackson's and the Buick service manager's. 13. Jackson is neither the Dodge nor the Kia service manager. 14. Nick's assigned work space isn't office #1. 15. Vic and Mr. Dailey once worked together at a Ford dealership. 16. Mr. Alvarez' office is between, and immediately next to, Ted's and the Hyundai service manager. 17. Mr. Hayden isn't the service manager for Kia vehicles. 18. Jackson, who isn't Ted, and the Hyundai service manager are both 20-year employees of Cozy Valley Motors. 19. Steve's office is directly flanked by those of Mr. Dailey and the Kia service manager. 20. Cox and the Mini service manager have offices next door to each other. 21. Steve's name plate doesn't read either Jackson or Hayden. Let's say you're a big fat explorer who's camped in a jungle next to a river.

Let's also say that you're a curious little dude who wants to know things which are none of your business – one of them being what's upstream except for more water flowing downstream. Lastly, let's say you can paddle a boat like there's no tomorrow. So you grab your trusty native, plonk your butt into the boat and paddle the hell off. The current flows and you paddle at a constant rate and when you stop paddling you change the boat's speed so that it immediately (assume so for the heck of this little puzzle) moves at the speed of the current. Trusty, who has a watch and notebook does his best to keep ship's log of your great voyage but you later find this is how it reads: 08:30: We leave camp. Bossman paddles upstream; 10:10: We pass a blue jetty and a shirt which is drifting down with the stream; 10:15: Fatman stops paddling and rests; ?: We are again abreast of the blue jetty. Fat Bossman resumes his paddling upstream; 11:16: Mad Fatman stops paddling, turns the boat in midstream, and rests; 11:34: The paddling downstream begins; ?: Once again abreast of the blue jetty; 12:30 : We pass the shirt; ?: We reach the camp; ?: The shirt reaches the camp. What are the four missing times?

Problem # 4 (200 points) A great walk in Tulip City this time of year is through the 10 tulip gardens that encircle Tulip Lake in the city park. The gardens, each devoted to a different tulip variety, including one to Queen of the Night tulips, abut each other with Tulip Walk passing through each once as it circles the lake. Each garden surrounds a statue of one of the city's illustrious citizens, including one of Tulip City notable Janet O'Brien; each honored person was famous in his or her day in some way, with one being an early explorer of Antarctica. From the clues below, can you find the order in which the 10 tulip gardens clockwise fringe Tulip Lake: the variety of tulip in the bed, the person whose statue is among the garden's flowers, and why he or she has been honored by Tulip City? (Note: all location information in the clues is in clockwise order.) 1. Along Tulip Walk, the garden where the Celebration tulips are planted is followed next by the garden with the statue of the painter in it, which is then followed by the bed where Harriet Slater's monument stands. 2. The statue commemorating the jazz legend, who wasn't Harriet Slater, isn't in the garden with the King Midas tulips. 3. The garden containing the Swan Wings variety was added to the park in 2003. 4. After walking through the garden planted with Blushing Lady tulips and then through another of the gardens--which does not have the statue of the inventor in it--a visitor would next be in the Orange Dynasty tulip garden. 5. These three gardens are in consecutive order around Tulip Lake: the one with the state senator's statue; the bed where Wilhelmina Shelley is honored; and the King Midas tulip garden. 6. The statue of the painter, who wasn't Walter Harding, isn't in the Fancy Frills garden.

7. After seeing the statue of Benjamin Goldsmith in one garden, a visitor passes through another garden and then comes to the garden where the monument to the Olympic gold medal marathoner is placed. 8. The garden containing the statue of the noted local philanthropist, who wasn't Daniel Walker, immediately follows the garden where the author is memorialized. 9. The garden planted with Celebration tulips, which doesn't have the Wilhelmina Shelley statue in it, and the garden where the jazz artist is honored are near Tulip City park's bandstand. 10. Wilhelmina Shelley wasn't a famous painter. 11. The monument to the bestselling author isn't in the Pillow Talk bed. 12. In three consecutive gardens a visitor sees Fancy Frills tulips, a statue of the city's longtime police chief, and the garden first opened in 1958 with a statue of Walter Harding in it. 13. Around Tulip Lake, the garden where the statue of the noted educator is located is followed next by the garden where Robert Tipton's monument stands, which is then followed by the bed where the Morning Glow tulips are planted 14. Harriet Slater, the state senator, and the citizen whose statue is among the Swan Wings tulips all three were also avid tulip growers. 15. The Olympic champion's statue is in neither the Celebration nor the King Midas garden. 16. These three gardens are in consecutive order around Tulip Lake: the one with Daniel Walker's statue in it; the bed where Swan Wings tulips are planted; and the garden where the jazz musician's statue stands. 17. Walter Harding wasn't the senator. 18. The police chief, who wasn't Wilhelmina Shelley, was honored with the 1969 opening of the garden in which his statue is located; the garden isn't planted with King Midas tulips. 19. The statue in the King Midas garden isn't the one of Tulip City notable Daniel Walker. 20. Going around Tulip Walk, a visitor first sees the inventor's monument, next views the statue of Ambrose Millstone, and then immediately walks among the Pillow Talk tulips. 21. The Banja Luka tulip garden is located immediately after the garden where the statue of Charles Parkinson stands. 22. Honored citizen Thomas Bankhead wasn't the gold medal marathoner. Problem # 5 (5 points) There are 5 houses in 5 different colours. In each house lives a person of a different nationality. The 5 owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet. Using the clues below can you determine who owns the fish? The Brit lives in a red house. The Swede keeps dogs as pets.

The Dane drinks tea. The green house is on the immediate left of the white house. The green house owner drinks coffee. The person who smokes Pall Mall rears birds. The owner of the yellow house smokes Dunhill. The man living in the house right in the middle drinks milk. The Norwegian lives in the first house. The man who smokes Blend lives next door to the one who keeps cats. The man who keeps horses lives next door to the man who smokes Dunhill. The owner who smokes Blue Master drinks beer. The German smokes Prince. The Norwegian lives next to the blue house. The man who smokes Blend has a neighbour who drinks water

Five personnel (Ajay, Bhaskar, Chandan, Dubey and Manish ) of a company from Delhi were sent for a training program to Mumbai for 15 days. Their company made the boarding and lodging arrangement for them in its guesthouse in Mumbai. They were suppose to pay only for their morning breakfast they take at the guesthouse. There were only five dishes available for the breakfast namely Samosa, Idli, Noodles, Vada Pav and Dumplings. Each one of them had breakfast everyday taking one dish everyday at the guesthouse in such a manner that each dish was taken 15 times in total. All the dishes were tried by each one of them at least once and the maximum number of times any dish was taken by any one personnel was 5. Cost of Samosa, Idli, Noodles, Vada Pav and Dumplings were Rs.8, Rs 15, Rs 10, Rs 12 and Rs 18 respectively. Ajay paid Rs. 212 in total out of which Rs 60 were for idlis, Rs 30 for noodles and Rs 24 for Vada Pavs. Bhaskar who had Noodles, Vada Pav and Dumplings same number of times paid Rs 175 in total out of which Rs. 36 were for VadaPav. Chandan ate Samosa, idli and Noodles same number of times paid Rs. 198 in total out of which Rs 66 were for samosas, Idli and Noodles. Dubey ate Samosa and Noodles same number of times and paid Rs 72 for these two items. For Idli he paid Rs 75 and in total he paid Rs 177. Prepare the total chart of who eat how many sandwich, idli, noodle, vadapav and dumplings.

Five friends appeared for Physics, Chemistry and Math exam. Each obtained a different grade in each subject taken, and no two students had the same grade in the same subject. • • • • • •

Andrew outscored Bridget in Physics, and Neil in Math. Wendy was the only girl to get a "C" grade, but she managed no "A" grades The pupil with an "E" in Math gained a "B" in Chemistry, but was not awarded a "C" in Physics Paul's Physics grade was a "D" and his highest grade was a "C" The "B" in Math did not go to the same student as the "E" in Physics Bridget's best result was in Chemistry, but her Math grade was lower than Paul's

What are the obtained grade for each subject by each student? Problem # 8 Last week, when their Dad bought them a new 1,000-piece jigsaw puzzle, an aerial view of Niagara Falls, Aaron and his five brothers and sisters decided to work as a team in putting the puzzle together. However, instead of all attacking the jigsaw at once, the six children worked one at a time, each completing a different area of the jigsaw. The children completed the puzzle in 3 1/2 hours, each spending a different amount of time on it. Given the clues below, can you solve this Challenger Logic Puzzle by determining the order in which the six worked on the jigsaw, the part of the puzzle each put together, and the length of time he or she spent working on that part? 1. The last three children spent a total of 2 hrs. on the puzzle. 2. The 1st child spent 10 min. longer on the jigsaw than the last child did. 3. Jeremy, who didn't go last, isn't the one who worked on the Rainbow Bridge or the International Falls. 4. These three children worked on the jigsaw in consecutive order: Rachel, then the one who worked on Goat Island, and then the one who spent 40 min. on a section of the puzzle 5. Courtney immediately followed her sibling who put together the American Falls; Courtney spent 40 min. less on the puzzle than the child who worked on the American Falls did. 6. Michael, who wasn't 1st to work on the jigsaw, worked on the puzzle earlier than the child who put together the Canadian side. 7. Kristin spent half as long on the jigsaw as her sibling who put together the Maid of the Mist immediately after Kristin did her part. 8. The child who put together the International Falls didn't work the least amount of time, 10 min., that one of the six spent. 9. Courtney didn't put together Goat Island. 10. The child who worked on the difficult Maid of the Mist isn't Rachel. 11. The longest any of the six spent on the Niagara Falls jigsaw was 1 hr.

Problem # 9 A Number Pyramid is composed of the 10 different numbers 0-9 with a top row of 1

number resting on a second row of 2 sitting on a third row of 3 supported by a bottom row of 4. For example, a Number Pyramid could be: 0 12 345 6789 (Note: Its a pyramid shape.I was not able to represent it fully) Given the clues below, can you determine the composition of Number Pyramid ? 1. The three numbers at the top of Number Pyramid sum to 17, with the largest of the three atop the pyramid. 2. The 2 isn't in the pyramid's third row, where the three numbers sum to 8. 3. The leftmost number in the bottom row minus the number to its immediate right equals 1. 4. The four leftmost numbers in the four rows of the pyramid add up to 13. 5. The rightmost numbers in the two bottom rows sum to 11.

Problem # 10 In the game of Letter Dice, a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 13 words below have been anagrammed using today's cubes, which do not have a J or X on them. Can you find the 6 letters on each die? 1. DUPE 2. GROW 3. HARD 4. KNOB 5. PILE 6. PLUM 7. QUAY 8. RAZE 9. SECT 10. SOCK 11. THIS 12. VOWS 13. ZANY Problem # 11

a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 12 words below have been anagrammed using today's cubes, which do not have a Q or Z on them. Can you find the 6 letters on each die? 1. BRIM 2. FOAM 3. FURY 4. GEAR 5. GLUT 6. JERK 7. LICK 8. PINE 9. STOP 10. USED 11. WAXY 12. WITH

Problem #13 Saturday, Kelly and four of her friends, lured by advertisements of the "biggest sale of the year," went Christmas shopping at Tracy's. Each of the five found the sales pitch to be true, finding a gift for her dad--one buying a sweater--at a great price. Given the clues below, can you solve this Challenger Logic Puzzle by determining the item each purchased, its original price, and its price on sale Saturday? 1. The original prices ranged from a low of $30 to a high of $120, totaling $310 for the five gifts. 2. The girls ended up spending $134 total on their five gifts, from a low of $21 to a high of $36, 3. The price of Jada's gift was reduced 20% more than the price of the tie, but Jada still paid $4 more for her item than the girl who bought the tie for her dad paid. 4. The original price of Lynne's gift was $50 more than the original price of the gloves another girl bought her dad, but after Tracy's reductions Lynne spent only $8 more than the gloves purchaser did. 5. Maria saved $7 more than the girl who bought the belt did. 6. The sale price of the dress shirt was $4 more than the sale price of the item Nicole purchased. 7. The biggest discount on any of the five items was 70% and the smallest discount was 30%.

Problem # 14 a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 13 words below have been anagrammed using today's cubes, which do not have a Q or X on them. Can you find the 6 letters on each die? 1. BOIL 2. CLUB 3. GILD 4. HALT 5. HIKE 6. JERK 7. JUKE 8. LAZY 9. MADE 10. POST 11. RAMP 12. WISH 13. ZONE

Question 15##: The table presents the revenue (in million rupees) of four firms in three states. these firms, Honest Ltd., Agressive Ltd., truthful Ltd., and Profitable Ltd., are disguiesd in the table as A, B, C, and D in no particular order. Further, it is known that: In the state of MP, Truthful Ltd. has the highest market share. Agressive Ltd's aggregate revenue differs from Honest Ltd's by 5 million. Q1. What can be said regarding the following two statements? Statement 1: Profitable Ltd. has the lowest share in MP market. Statement 2: Honest Ltd's total revenue is more than Profitable Ltd's. 1. If statement 1 is true, then statement 2 is necessarily true. 2. If statement 1 is true, then statement 2 is necessarily false. 3. Both statement 1 and statement 2 are true. 4. Neither statement 1 nor statement 2 is true.

Q2. What can be said regarding the following two statements? Statement 1: Honest Ltd. has the highest share in UP market. Statement 2: Aggressive Ltd's has the highest share in UP market. 1. Both statements could be true. 2. At least one of the statements must be true. 3. At most one of the statements must be true. 4. None of the above Q3. What can be said regarding the following two statements? Statement 1: Aggressive Ltd's lowest revenues are from MP. Statement 2: Honest Ltd's lowest revenues are from Bihar. 1. If statement 2 is true, then statement 1 is necessarily false. 2. If statement 1 is false, then statement 2 is necessarily true. 3. If statement 1 is true, then statement 2 is necessarily true. 4. None of the above Q4. If Profitable Ltd's lowest revenue is from UP, then which of the following is true? 1. Truthful Ltd's lowest revenues are from MP. 2. Truthful Ltd's lowest revenues are from Bihar. 3. Truthful Ltd's lowest revenues are from UP. 4. No definite conclusion is possible. P.S.1 The table is attched within P.S. 2 Pls post your approaches also. Only the answers will not work.

Problem # 15 Eight small businesses occupy the new Mini Mall in the shape of a 3x3 grid (with the centre square being an open area) numbered 1 to 8 clockwise from the top left square. They are a bookstore, florist, frozen yogurt shop, futon shop, paint and wallpaper store, pizzeria, photo developer, and shoe store. The eight proprietors include five women – Emma, Frances, Ruth, Vicki and Zeena – and three men – Albert, George and Luke. The proprietors’ last names are Cole, Gallo, Hanley, Jackson, Klein, Martinez, Riley and Silver. Can you match each shop’s number with the full name of its owner and the kind of shop he or she runs? On the northern wall are (in no particular order) Emma’s store, Luke’s store, and Hanley’s store; (2) Riley’s shop is situated directly opposite the florist’s, and isn’t adjacent to Cole’s place; (3) Klein’s shop and the pizzeria aren’t both on the eastern wall; (4) Frances and Gallo are the only two women who don’t have corner stores; (5) Neither Albert’s store nor Jackson’s is on the southern wall; (6) George’s shop is adjacent to the Bookstore; (7) On the western wall are (in no particular order) Vicki’s shop, Martinez’s shop, and Zeena’s futon shop; (The pizzeria and the

frozen yogurt shop occupy opposite corners of the mall; (9) The florist is adjacent to the photo developer; (10) The paint and wallpaper store is adjacent to both Ruth’s shop and the shoe store; (11) Luke’s shop is adjacent to Silver’s.

Problem # 16

Place a Jack (J), a Queen (Q) and a King (K) on three slots in a row like JQK (J on extreme left, K on extreme right). Reverse the position of the cards (ie, KQJ) in the least possible number of moves. In a valid move, a card can be moved either left or right into an empty slot or placed onto a card of a higher rank. (eg, a J can be placed on a K, but not vice-versa). Also, only the top card of the stack can be moved. Now, what is the least number of moves required if: (a) there are only three slots? (b) there is an empty slot to the left of the Jack? (c) there is an empty slot to the right of the King?

Problem # 17 An independent survey conducted in a large school indicated the lying habits of the students were as follows (category / percentage of students / percentage of lies told of all statements made): (A) Truthful students / 10% / 0%; (B) Students who seldom lied / 20% / 20%; (C) Students who evenly lied / 50% / 50%; (D) Students who frequently lied / 20% / 80%; (E) Students who were liars / 10% / 100%. The same group of students were given a multiple choice questionnaire and were asked to indicate the category (A, B, C, D, or E) which they belonged to. Obviously students would indicate their category, depending upon their nature – eg: All truthful students would put themselves in category A, but Liars would never indicate category E. The problem is, what would be the percentages of students in various categories as self indicated by the students? Further if a second self-assessment survey is conducted asking the students whether they had truthfully answered the first self assessment survey having only two categories (T) Told the truth, and (F) Lied, what would the results tell in percentage terms?

Problem # 18 In the popular family game Boggle, each of 16 dice has six different letters (QU substitutes for a single letter on one cube face) on it. The dice are shaken and fall into a 4x4 square, so that one letter on each cube shows. Players have three minutes to form as

many words of length three or longer by moving from letter to adjacent letter either vertically, horizontally, or diagonally. Players may return to a letter in forming a word but may not pause on a letter. Given the sample board FBUP TMEO RSHI ETBW possible words are POEM, PESTER, HOPE, THEME, and RESETS, but not MESS. In a recent game of Boggle, Ian and Chad formed the words given in the clues below, as well as many others. Can you reconstruct the arrangement of the top dice letters that showed on their game board? 1. Both boys got the words FAITH and THIRD, but only Ian got ORBIT. 2. Chad scored with SIGHTS and ASK, while Ian countered with SWAY. 3. To make SLY, Chad went diagonally from upper right to lower left to go from L to Y. 4. To complete the word GRAND, Ian went vertically down to go from N to D. Problem # 19 In the game of Letter Dice, a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 13 words below have been anagrammed using today's cubes, which do not have a Q or X on them. Can you find the 6 letters on each die? 1. BRAG 2. DAYS 3. DOZE 4. CLUB 5. CONK 6. FAUN 7. JERK 8. MAIL 9. PELT 10. POND 11. SHIP 12. VOTE 13. WANT

Problem # 20

A Number Box is a 3x3 arrangement with a different number 1-9 in each cell. For example, a Number Box could be: 1 2 6 9 4 8 7 5 3 Given the clues below, can you determine the composition of Number Box? 1. The number in the center of the top row minus the number in the center of the bottom row equals 5. 2. The three numbers in the rightmost column of the box add to 8. 3. The numbers in the four corners of Number Box sum to 23. 4. The number in the left cell of the top row minus the number in the right cell of the bottom row equals 2. 5. The number in the center cell of the box isn't 6.

Problem # 21 In the game of Letter Dice, a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 13 words below have been anagrammed using today's cubes, which do not have a J or Z on them. Can you find the 6 letters on each die? 1. BOXY 2. CHAD 3. FAKE 4. GLUT 5. GUSH 6. HAIR 7. LIED 8. PARK 9. RUBY 10. SOME 11. VINE 12. WING 13. YOLK

Problem # 22

On a recent trip to Safeway, Stan Cash saved $3.90 by using coupons on each of five different products he purchased, including one for Kraft Italian salad dressing. Each coupon came from a different source, with one from a previous purchase; and each was for a different amount in whole cents. Given the data below, can you solve this Challenger Logic Puzzle by determining each product Stan purchased, where he got the coupon for it, and how much he got off the item price? 1. The coupon cut from the Sunday paper was for $.50 more than the one that came from a mailer. 2. The Cheerios cereal coupon didn't come from a magazine. 3. The Tide detergent coupon was for $.30 more than another of the coupons. 4. The Cheerios coupon saved Stan twice as much as the coupon he got in-store from the aisle where he purchased the item. 5. The Bounty coupon didn't come from the Sunday paper. 6. One of the coupons was for $1.00. 7. The coupon Stan tore from a magazine was good for twice as much money back as the Bounty paper towels coupon. 8. The Red Baron pizza coupon wasn't the one Stan acquired in-store.

Problem # 22 A Number Pyramid is composed of the 10 different numbers 0-9 with a top row of 1 number resting on a second row of 2 sitting on a third row of 3 supported by a bottom row of 4. For example, a Number Pyramid could be: 0 12 345 6789 Given the clues below, can you determine the composition of Number Pyramid 6? 1. The number at the top of Number Pyramid minus the leftmost number in row 2 equals 6. 2. Both the four leftmost numbers in each row and the three numbers in row 3 sum to 17. 3. In the bottom row of the pyramid, the second number from the left minus the leftmost number equals 5. 4. The rightmost number in row 3 minus the rightmost number in row 4 equals 3. 5. The four numbers in the bottom row sum to 19. Probelm # 24 A Number Pyramid is composed of the 10 different numbers 0-9 with a top row of 1

number resting on a second row of 2 sitting on a third row of 3 supported by a bottom row of 4. For example, a Number Pyramid could be: 0 12 345 6789 Given the clues below, can you determine the composition of Number Pyramid ? 1. The leftmost number in the bottom row subtracted from the topmost number in the pyramid equals 6. 2. The sum of the topmost number and the leftmost numbers of the second through fourth rows equals 21. 3. The numbers making up the third row of Number Pyramid sum to 14. 4. The rightmost number in the bottom row minus the sum of the two numbers in the second row equals 1. 5. The sum of the topmost number and the rightmost numbers of the second through bottom rows equals 25. 6. In the bottom row, the second number from the right is 2. Problem # 25 This one is from MS At Joginder ("Gifty") Gill's 5th birthday party, one of the games played for a prize was Coin Toss, with the guests throwing defunct 10 paise coins at a "bull's-eye" – a hole cut out of a square board. Six of the guests, including Ranga, managed to get at least one coin into the hole, with no two getting the same number of bull's-eyes. Each boy got to keep the coins he scored, and the one with the most won a copy of Jugnu Dil, Joginder's favourite film. Given the seven clues below, find each scorer's full name (one last name is Bhaba) and the number of coins he got in the bull's-eye and determine who won the prize? (1) The six guests won a total of Rs 4.00, with the winner of Jugnu Dil putting 10 coins through the bull's-eye; (2) Mithun took home one more coin than the Futnani boy did; (3) Diyaudeen and the Sethna boy at least hit the board rather than the wall; (4) Lobsang won 30 paise more than the Pallonji boy, who hit twice as many bull's-eyes as Herman; (5) The Contractor boy scored half as many coin tosses as Diyaudeen, who took home 20 paise less than the Juicewalla boy; (6) Lobsang and the Futnani boy were prize winners at Marshmallow Home Run Derby and Ping Ping Goal respectively; (7) Aniruddh's turn to throw the coin toss was just before the Pallonji boy's.

Problem # 26 Here's our favourite dice In the game of Letter Dice, a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 14 words below have been made using today's cubes. Can you recover the 6 letters on each die? 1. BECK 2. COZY 3. DEWY 4. FLAW 5. GAPE 6. JOVE 7. LAIR 8. MASK 9. PLOT 10. RASH 11. SAFE 12. SULK 13. TOWN 14. VOTE Probelm # 27 1. One of A and B lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. The other lies on Thursdays, Fridays and Saturdays, and tells the truth on the other days of the week. At noon, the two had the following conversation: A: I lie on Saturdays. B: I will lie tomorrow. A: I lie on Sundays. On which day of the week did this conversation take place?

2. Dodo: The Hatter tells lies. Hatter: The March Hare tells lies. March Hare: Both the Dodo and the Hatter tell lies. Who is telling the truth?

Problem # 28 Here are four facts about four ladies: (a) Rose earns more than Miss Christie, who lives exactly six miles from Ivy, who lives directly south of Miss Sayers; (b) Olive earns more than the research chemist, who lives directly east of Ivy; (c) The archaeologist earns more than Miss James, and Hazel earns more than the market analyst; (d) The research chemist lives directly north of Miss Marsh, who lives exactly ten miles from Rose, who lives exactly four

miles from the optician. Which lady earns the most? Which lady is the market analyst? How far apart do Hazel and Olive live?

__________________ Problem # 29 Here's one more letter dice In the game of Letter Dice, a different letter of the alphabet is on each face of each of the 4 cubes, so that 24 of the 26 letters of the alphabet occur. Words are formed by rearranging and turning the dice so that the upward-facing letters spell a 4-letter word. The 14 words below have been anagrammed using today's cubes. Can you recover the 6 letters on each die? 1. AXIS 2. BUOY 3. CHAD 4. FAKE 5. FOIL 6. GOAD 7. GROW 8. HOAR 9. JUMP 10. MUCK 11. NAVY 12. SPOT 13. TURN 14. VIBE PRBLM#30 Arjun is playing the videogame Space Squeakers, and he finally loses his last turn after several hours (and after killing numerous invading space mice). He was rather surprised to discover that he had scored the maximum number of points he could have while averaging exactly 9975 points per turn. If in Space Squeakers you start with 3 turns and you earn an extra turn with every 10000 points you score (e.g. you earn an extra turn at 10000, another at 20000, another at 30000 etc.), what was Arjun's final score?

Problem # 31 Last week, six fourth graders--three girls (Allison, Linda, Maria) and three boys (Drew, Eric, Mike)--played a two-hour game of Monopoly, with five going bankrupt and the winning sixth declaring "Monopoly!" Each player used a different one of the metal tokens, and each managed to buy one set of like-colored properties, one owning Orange, which he or she improved with houses and/or hotels. Given the clues below, can you

"Pass Go" by determining the full name (one last name is Short) of each player, the token he or she used during the game, the set of properties he or she owned, and the order in which the five losers went bankrupt to leave one winner? 1. Eric went bankrupt immediately before the player who bought Marvin Gardens and the other Yellow properties did; the child who used the Battleship token was still in the game after they were out. 2. The Parker boy didn't own Pacific Avenue and the other Green properties. 3. Drew didn't win the game. 4. The Green properties weren't in possession of the player who had the Battleship token. 5. Allison immediately preceded the player with the Top Hat token into bankruptcy. The Chance girl, who didn't have the Battleship as her playing token, went out of the game immediately following the player with the Top Hat token. 6. Maria isn't the player who moved the Thimble token around the board. 7. Right before the person who owned Illinois Avenue and the other Red properties went out of the game, the player with St. Charles Place and the other Purple rentals went bankrupt. 8. Eric didn't buy the Green properties 9. These three players declared bankruptcy in consecutive order first-to-last: Linda, the Parker child, and the one who owned the Blue properties, Boardwalk and Park Place. 10. The Reading child once landed on Indiana Avenue, one of the Red properties, and had to pay rent to another player for the two houses on it. 11. Neither the player who had the Flatiron nor the one who used the Thimble as a playing piece purchased the Purple properties. 12. The player with the Automobile token went bankrupt right after Mike did; both lost when they landed on Green properties and couldn't pay the rent. 13. The Waters boy didn't play with the Top Hat as his token. 14. The Baltic child, who didn't own the Red trio, and the player who had the Cannon playing piece both drew "Get Out of Jail Free" cards. 15. Linda, who didn't buy the Green properties, and the player who used the Automobile token each owned one of the utility companies in addition to a color property set. Problem # 32 As part of a fundraiser to help cure cystic fibrosis, members--four men (Jeff, Rob, Tom, and Wes) and three women (Beth, Faith, and Sue)--of the Super Cyclists rode the 300 miles from Summerset to Ocean City. Each of the seven rode one leg of the distance, with riders changing in different cities--one being Autumndale--en route. Given the log of the relay below, can you solve this 5-star Logic Puzzle by finding the starting and ending points of each leg (Summerset starts the 1st and Ocean City ends the last), the mileage covered during the leg, and the full name (one last name is Young) of the cyclist pedaling that distance?

1. The shortest leg covers 20 miles and the longest 75; no two legs are the same distance. 2. Price's ride ended in Bayview. 3. The 1st change of riders didn't occur in Fort Hill. 4. Wes rode 10 miles farther than Jeff did. 5. The leg Tom pedaled is 25 miles longer than the leg going from Glen Falls to Central City and 50 miles longer than the distance Ms. Dunn covered cycling her leg--which isn't the shortest. 6. The last leg is 15 miles shorter than the one Koontz covered. 7. Ives rode neither the 1st nor the last relay leg. 8. Mr. Price rode 10 miles farther than the cyclist who rode the 1st leg, which isn't the 20-mile-long one, but pedaled 20 fewer miles than Rob did completing his leg. 9. Moore didn't ride the last leg into Ocean City. 10. The leg starting in Fort Hill is twice as long as the leg ending in Fort Hill. 11. The ride ending in Glen Falls is the longest. 12. Beth didn't ride the shortest leg. 13. Ms. Dunn started her part of the relay in Mt. Holly. 14. Ms. Close pedaled twice as many miles as Faith did. 15. Rob's leg didn't start in Central City. Problem # 33 An independent survey conducted in a large school indicated the lying habits of the students were as follows (category / percentage of students / percentage of lies told of all statements made): (A) Truthful students / 10% / 0%; (B) Students who seldom lied / 20% / 20%; (C) Students who evenly lied / 40% / 50%; (D) Students who frequently lied / 20% / 80%; (E) Students who were liars / 10% / 100%. The same group of students were given a multiple choice questionnaire and were asked to indicate the category (A, B, C, D, or E) which they belonged to. Obviously students would indicate their category, depending upon their nature – eg: All truthful students would put themselves in category A, but Liars would never indicate category E. The problem is, what would be the percentages of students in various categories as self indicated by the students? Further if a second self-assessment survey is conducted asking the students whether they had truthfully answered the first self assessment survey having only two categories (T) Told the truth, and (F) Lied, what would the results tell in percentage terms?

Problem # 34 When Mr and Mrs Thompson gave a dinner-party, they invited Mr and Mrs Johnson, Mr and Mrs Edmundson, Mr and Mrs Richardson and Mr and Mrs Stevenson. The ten people were seated at a circular table, and no man sat next to his own wife. Mr Thompson sat next but one to Mrs Stevenson. Mr Edmundson sat between two

ladies, and so did Mr Richardson. Mrs Johnson sat next to her sister, while Mr Johnson sat next but one to Mr Stevenson, who was immediately to the left of his father-in-law. Mrs Edmundson sat next but two to her husband, and Mrs Johnson sat next but two to Mrs Richardson. Three of the ladies each sat between two men. Can you say in what order the ten people were seated at the table?

Problem # 35 (The average time taken by a group of 44 people aged between 12 and 65 during a trial test at the Cleveland Cognitive Clinic in the US in 1981 was 22 minutes to solve this one) Question #1: Which man drinks diet soda? Question #2: Which man owns a spider monkey? Given that There are five houses and that in each house lives a man of a certain nationality who has his favourite drink, his favourite game and his own unusual pet. And .(1) There are five houses in a row, each having a different colour; (2) The Englishman lives in the red house; (3) The green house is to the right of the white house; (4) The Italian owns a guppy; (5) Lemonade is drunk in the green house; (6) The Swede drinks coffee; (7) The man who plays backgammon owns a toad; ( The man who plays racquetball lives in the yellow house; (9) The man in the middle house drinks milk; (10) The Russian lives in the first house; (11) The man who owns the camel lives next to the man who plays quoits; (12) The man who owns the rat lives next to the man who plays racquetball; (13) The man who plays solitaire drinks herb tea; (14) The American plays charades; (15) The Russian lives next to the blue house

Problem # 36 (1) Fran is Jim’s wife if Doris lives on Cedar Street; (2) Jim lives on Pine Street if Kay lives on Maple Street; (3) Jim is Kay’s husband if Ann lives on Cedar Street; (4) Bill lives on Pine Street if Fran lives on Maple Street; (5) Fran lives on Oak Street if Ed’s wife is Doris; (6) Ed is Kay’s husband unless Kay lives on Maple Street; (7) Doris lives on Cedar Street if Jim lives on Pine Street; ( Ann lives on Cedar Street if Bill lives on Pine Street; (9) Fran lives on Maple Street if Kay is Ed’s wife; (10) Bill lives on Oak Street if Hal lives on Cedar Street. And finally, assuming that each of the four streets contains the home of one of the couples can you say who lives where?

Problem # 37 A Number Square is a 4x4 arrangement with a different number 0-15 in each cell. For example, a Number Square could be: 1 12 3 2

9 8 13 7 4 15 0 11 10 14 6 5 Given the clues below, can you determine the composition of Number Square 2? 1. On the upper-left to lower-right diagonal, the upper left number minus the number next to it down the diagonal equals 14; the lower right number on the upper-left to lower-right diagonal minus the number next to it up the diagonal also equals 14. 2. The entry in col. 2, row 3 minus the number in col. 1, row 3 equals 7. 3. The number in col. 1, row 3 minus the value in col. 1 row 4 gives 1. 4. The four numbers down the leftmost column of the square add to 34. 5. The sum of the four numbers in row 3 of Number Square 2 equals 24. 6. Adding the four bottom-row numbers equals 37. 7. Subtracting the number in col. 2, row 4 from the number in col. 3, row 4 leaves 1. 8. The number in col. 3, row 1 less the number in col. 4, row 1 equals 4. 9. Taking the entry in col. 4, row 2 from the value in col. 2, row 1 gives 5. Problem # 38 A Number Square is a 3x3 arrangement with a different number 1-9 in each cell. For example, a Number Square could be: 123 987 465 Given the clues below, can you determine the composition of Number Square? 1. 2. 3. 4. 5. 6.

The three numbers in the upper-left to lower-right diagonal sum to 24. The four numbers in the corner cells of the square add to 24. The three digits in the lower-left to upper-right diagonal sum to 14. Adding the three bottom-row numbers equals 18. Summing the three digits in the rightmost column gives 16. The number in the middle cell of the leftmost column isn't 2

Problem # 39 This summer, five students at James Buchanan School of Law are working as interns at the Summerset legal firm of Sinker, Swimmer, Wade, Flotsam, and Jetsam. Each of the five--three men (David, Ian, Kevin) and two women (Laurie, Michelle)--works for a different partner, who specializes in a different area of law and has offices on a different floor, 1st-5th, of the firm's downtown building. Given the clues below, can you uncover

each intern's full name, the type of law in which he or she is working, the name of the firm partner who is expert in that area, and the floor on which he or she works? 1. 2. 3. 4.

Michelle works two floors below the intern who is in property law. Partner Swimmer isn't the patent law specialist. Ian's summer boss has offices one floor below Flotsam. Intern Bailey, who isn't working in the firm's civil law offices, isn't assigned to partner Sinker. 5. The tax law spaces are one floor above Swimmer's offices, which are one floor above those where Mr. Cochran is interning. 6. Kevin isn't the intern working in civil law. 7. Partner Jetsam's offices are one floor below those where Reno is working this summer. 8. Laurie's summer job is located two floors above the firm's patent law specialty. 9. Ian, who isn't student Ginsburg, isn't the one working in property law. 10. Ms. Ashcroft is working in the offices one floor above those dedicated to the practice of criminal law. 11. Criminal law isn't partner Wade's area of expertise. __________________ Problem # 40 When an autograph of Button Gwinnett, a signer of the Declaration of Independence from Georgia, sold at auction, Mr. Hancock and four other bidders each tried to buy the rarity for an institution he represented at the sale--one man bid on behalf of the Phildelphia History Museum. The bidding, which started at $125,000, continued until four of the bidders dropped out, leaving one elated possessor of America's rarest signature. Given the clue that follow, can you determine the highest final bid each man made and the organization for whom he was bidding? 1. John's final bid was for $50,000 more than Mr. Chase's and for $75,000 more than the man bidding on behalf of the Patriots House of Wax. 2. George, who isn't Mr. Adams, isn't the one who bid for the Continental Congress Club or for the Liberty Bell Foundation. 3. Mr. Mason's highest bid was for $50,000 more than Thomas' final offer, which topped that on behalf of the Grandsons of the American Revolution by $25,000. 4. The man bidding for the Liberty Bell Foundation wasn't Mr. Chase. 5. The highest offer by the bidder for the Continental Congress Club was for $50,000 more than the last bid made by Wlliam, who wasn't representing the Patriots House of Wax at the auction. 6. Mr. Whipple's top offer was $25,000 more than Charles' last bid. 7. The winning bid for the Button Gwinnett autograph was $250,000. __________________