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Ramesh working alone on a job takes 12 days more than what he would have taken if Suresh had worked along with him while Suresh working alone on the same job takes 27 days more than what he would have taken if Ramesh had worked along with him. Find the time that both of them would take together to do the job.
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7) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. If Jane wears black shoes she will not wear: a) red stockings. b) a blue skirt. c) a white blouse. d) blue stockings. e) a sky blue blouse. 8) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. If Jane is color blind and is unable to determine what outfits went well together, how many possible clothing combinations could she have? a) 24 b) 32 c) 36 d) 44 e) 48 9) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. If Jane wears a brown skirt and a white blouse, she could: a) not wear blue stockings. b) not wear brown shoes. c) not wear black shoes. d) wear blue stockings. e) wear red stockings. 10) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. Jane buys a gray scarf. If she wears the new scarf, then she could: a) not wear blue stockings. b) not wear brown stockings. c) not wear black shoes. d) wear a white blouse. e) wear black stockings. 11) Jane works at a fashion design company, and is having problems getting dressed for work. She refuses to wear any color combination that does not go well together as many of her clients may look down upon this. She has two pairs of skirts, brown and blue; three blouses, white, sky blue, and gray; four pairs of stockings, red, black, brown, and blue; and two pairs of shoes, black and brown. The blue skirt cannot be worn with red or brown stockings. Gray does not go well with brown. Black does not go well with brown. Jane will never wear: a) blue and red together. b) white and red together. c) gray and blue together. d) white and black together. e) white and red together. 12) Two men, Barry and David, and two women Ann and Cathy are doctors. One is a surgeon, one a dentist, one an optometrist, and one is a general practitioner. They are seated around a square table, with one person on each side. 1) Barry is across from the dentist. 2) David is not across from the surgeon. 3) The optometrist is on Ann's immediate left. 4) Cathy is the general practitioner. 5) The surgeon and general practitioner are married to each other. 6) The general practitioner is not on Cathy's immediate left. 7) The general practitioner is across from the optometrist. Which of the following must be true? a) Barry is the dentist. b) The surgeon and general practitioner are women. c) The dentist is across from the surgeon. d) David is the surgeon. e) Cathy is across from Ann. 13) Two men, Barry and David, and two women Ann and Cathy are doctors. One is a surgeon, one a dentist, one an optometrist, and one is a general practitioner. They are seated around a square table, with one person on each side. 1) Barry is across from the dentist. 2) David is not across from the surgeon. 3) The optometrist is on Ann's immediate left. 4) Cathy is the general practitioner. 5) The surgeon and general practitioner are married to each other. 6) The general practitioner is not on Cathy's immediate left. 7) The general practitioner is across from the optometrist. If both women leave the table, the a) optometrist and dentist remain. b) surgeon and optometrist remain. c) surgeon and general practitioner remain. d) general practitioner and dentist remain. e) general practitioner and optometrist remain.
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