Four women visit a tailor, and at least three went to order two dresses each, one for a wedding and one for a graduation. The tailor have five different fabric to choose from- solid blue, solid green, solid red, patterned stripes- and each woman who order wants each of her two dresses to be made with a different fabric. In addition, at least one of the wedding dresses and at least one of the graduating dresses must be a solid color fabric. Finally, if a woman wants a red dress for wedding, then she also wants a patterned dress for the graduation.
If nobody orders a red dress for one of the occasions, then what must be true that particular occasion?
A. Both polka dot and green dresses must be made.
B. Both polka dot and striped dresses must be made.
C. Either blue or green dresses or both must be made.
D. Either polka dot or striped dresses, but not both, must be made.
E. Either blue or striped dresses must be the only ones made.
Since there are no red dresses made, and there has to be a least one solidcolored dress made for each occasion, either blue or green dresses, or both, must be made for that occasion. The correct answer is (C).
If exactly three women order dresses, they CANNOT order which of the following three dresses for the weeding?
A. Blue, green, striped
B. Red, polka dots, blue
C. Green, green, green
D. Red, red, red
E. Blue, blue, blue
If the three women all order red dresses for the wedding, then they all must have either polka dots or striped dresses for the graduation. This means that no woman has a solid-colored dress for graduation, which was one of the requirements. The correct answer is (D).
If exactly three women order two red dresses and one striped dress for the wedding, they could order which dresses for the graduation (in the same order)?
A. Green, green, striped.
B. Striped, red and red.
C. Striped, green, and green.
D. Polka dots, polka dots blue.
E. Polka dots, polka dots, blue.
All four women order dresses, and two of them order red dresses for the wedding. Which of the fabric CANNOT be used for the wedding?
A. Any of the fabric available can be used.
B. Blue
C. Green
D. Polka-dotted
E. Striped
The only information we have is that two of the dresses or the wedding are red. This means that two of the dresses for the graduation must be either polka dot or tripped. One of the remaining wedding dresses can be any fabric, as long as the fourth is not red (So that a graduation dress can be solid). The correct answer is (A).
Suppose all four women orders dresses. What is the greatest number of solidcolor graduation dresses that can be made?
A. One
B, Two
C. Three
D. Four
E. Five
From the conditions we can make the following notes. Wedding Graduate 1 or more is solid 1 or more is solid For each woman: Wedding = Graduation If wedding (red)_ _ Graduation (striped or polka-dotted) As long as the solid-colored wedding dresses are not red, then all of the dresses could be solid colored, either green or blue. For example, If the wedding dress for the first woman is blue, then her graduation dress could be green or red. If her wedding dress is green, then her graduation dress could be either blue or green. And so on for the other three women. So there may be a total of four solid-colored graduation dresses. The correct answer is (D).
