Logic Puzzle # 84 Logic Problems Help

Logic Problem Solution:
Employees of the Month

By clue 2, Faith was KWMart employee of the month the month before Perlman, who was employee of the month the month before the person who works in music. By clue 6, the person who works in cosmetics won the month before Updike, who won the month before Judy did. Since Perlman doesn't work in cosmetics (19) and Faith isn't Updike (20), there can be no commonality between the two clues, so three different employee of the month winners in consecutive order are named in each of clues 2 and 6. By clue 10, three consecutive employees of the month first-to-last are Valdez, the cashier, and Karen. If there were overlap between clue 10 and clue 2, Perlman would have to be the cashier--no (14); Valdez would have to work in the music department--no (16); or Karen would have to be Perlman--no (19). So, there is no overlap between clues 10 and 2. Similarly, since Judy isn't Valdez (16) and Karen doesn't work in cosmetics (19), there is no overlap between clues 10 and 6. Three different sets of three consecutive monthly winner are named in the three clues. By clue 17, the employee who works in paper products was honored one month before Gina, who was named KWMart employee of the month the month before Smith was. Checking whether there is any commonality between clue 17 and clue 2, Smith doesn't work in music (11), Gina doesn't work in music (21), and Faith isn't Smith (20)--so there is no overlap between the two clues. Trying clues 17 and 6, Judy doesn't work in paper products (1) and Smith doesn't work in cosmetics (11), so there is no overlap between clues 17 and 6. Finally, Gina isn't a cashier (7), Karen doesn't work in paper products (3), and Gina isn't Valdez (7)--so there is no overlap between clues 17 and 10. Therefore, four different sets of three consecutive employees of the month are named in clues 2, 6, 10, and 17; and the only arrangement that can work so that there is no commonality among the clues is that in some order the clues describe the winners for January-March, April-June, July-September, and October-December. By clue 4, Ricci, who works as a night stocker, was honored one month before Ian, who works in the paint department. We test to see how clue 4 fits with the other clues. Since Ian isn't Perlman (12), there is no overlap between clues 4 and 2. The only possible overlap between clues 4 and 6 is that Ricci is Judy. Then Ian, who works in paints, would have to be the first person named in clue 2--no, Faith is; clue 10, as Valdez--no (12); or clue 17--no, the winner who works in paper products is. So, there is no commonality between clues 4 and 6. Since Ian isn't Valdez (12), the only overlap possible between clues 4 and 10 is if Ricci were Karen. But again, Ian, who works in paints, would have to be the first person named in clue 2--no, Faith is; clue 6--no, the cosmetics worker is; or clue 17--no, the winner who works in paper products is. Therefore, clue 4 must overlap clue 17: Gina is Ricci and works as a night stocker, and Smith is Ian and works in the paint department. By clue 9, Ed Mendes was named KWMart employee of the month one month before Testa, who works in auto parts. We test to see how clue 9 fits with what we already know. If Faith were Testa in clue 2, Ed Mendes would have to be the last person named in clue 6, 10, or 17--no. If Ed Mendes worked in KWMart music, Testa, who works in auto parts, would have to be the first person named in clue 6, 10, or 17--no. So, clues 9 and 2 have no commality. There is no possible overlap with the order in clue 6 or the order in clues 4 and 17 combined. The only possible overlap is between clue 9 and clue 10: Ed Mendes won as a cashier and Karen Testa works in auto parts. By clue 18, Quayle won in March and must be the last person named in clue 2, 6, 10-9, or 17-4. Since Quayle isn't Judy (18), Quayle works in the music department; and by clue 2, Faith was KWMart's January employee of the month, with Perlman the February winner. By clue 5, consecutive monthly winners were the employees in the garden center and electronics. Since Perlman doesn't work in electronics (14), neither of the two in clue 5 can be in clue 2. Nobody in clues 10-9 or 17-4 can be the one who works in gardening. Since Judy doesn't work in electronics (1), in clue 6 she must work in the garden center. Then Valdez in clue 10 works in electronics, and the three winners in clue 10 follow immediately the three in clue 6. By clue 15, the winner who works in children's clothing was honored the month before Nixon was. Nixon must be Judy, and Updike works in children's clothing. Larry won the award the month before West did (13). Larry must be Quayle. West then didn't win in January, nor did Oxnard (22); Young did. By clue 23, Faith works in sporting goods and Cheryl is Perlman. By elimination, Cheryl works in household supplies. Oxnard isn't the employee in cosmetics (22), so West is; and Oxnard is in paper products. We now know that cosmetics worker West won in April (13), so Updike won in May, Nixon in June (6), Valdez in July, Mendes in August, Testa in September (10), Oxnard in October, Ricci in November, and Smith in December. By clue 24, Alice is Valdez. Denise is Updike (25). By clue 8, Hank is West and Bill Oxnard. The KWMart employees of the month for 2000 are

• January -- Faith Young, sporting goods
• February -- Cheryl Perlman, household
• March -- Larry Quayle, music
• April -- Hank West, cosmetics
• May --Denise Updike, children's clothing
• June -- Judy Nixon, garden center
• July -- Alice Valdez, electronics
• August -- Ed Mendes, cashier
• September -- Karen Testa, auto parts
• October -- Bill Oxnard, paper products
• November -- Gina Ricci, night stocker
• December -- Ian Smith, paint