Two mannequins -- 1 and 2 -- will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats -- one in each color; three jackets -- one in each color; three skirts -- one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions:Neither mannequin wears all three colors.Each mannequin wears a hat in a different color from the jacket it wears.Mannequin 2 wears the navy skirt.Mannequin 1 wears the tie.If all three of the yellow articles of clothing are included in the two mannequins' outfits, which one of the following could be true?
Answer(s): B
We know that someone gets the yellow hat, someone gets the yellow jacket, and someone gets the yellow skirt.Since mannequin 2 gets the navy skirt, it must be mannequin 1 that gets the yellow skirt. This kills option [Mannequin 1 wears the red skirt.]. Mannequin 1's two colors must be red and yellow (which kills option [Mannequin 1 wears the navy jacket.]), and mannequin 1 will get either the red hat and the yellow jacket, or vice versa. So [Mannequin 1 wears the yellow jacket.] is the choice that could be true: mannequin 1 could wear the yellow jacket. As for the rest: Whichever yellow item mannequin 1 doesn't get will go to mannequin 2. So mannequin 2's colors are yellow and navy, which kills options [Mannequin 2 wears the red hat.] and [Mannequin 2 wears the red jacket.].
Two mannequins -- 1 and 2 -- will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats -- one in each color; three jackets -- one in each color; three skirts -- one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions:Neither mannequin wears all three colors.Each mannequin wears a hat in a different color from the jacket it wears.Mannequin 2 wears the navy skirt.Mannequin 1 wears the tie.If mannequin 1 wears the skirt that is the same color as the jacket that mannequin 2 wears, which one of the following must be true?
Answer(s): C
If the color of mannequin 1's skirt is the same color as the color of mannequin 2's jacket, then what color must that be? It can't be navy, since mannequin 2's skirt is navy. So mannequin 2's jacket isn't navy. But we know from the Key Deductions that mannequin 2 must get either the navy jacket or the navy hat. So mannequin 2 must get the navy hat.
A college dean will present seven awards for outstanding language research. The awards -- one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili -- must be presented consecutively, one at a time, in conformity with the following constraints:The German award is not presented first.The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented.Which one of the following must be true?
Answer(s): A
To begin the question set, we're asked for something that must always be true. Without an "if/then" clause, there's nothing for us to do but check the choices.
A college dean will present seven awards for outstanding language research. The awards -- one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili -- must be presented consecutively, one at a time, in conformity with the following constraints:The German award is not presented first.The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented.If the Hebrew award is presented fourth, which one of the following must be true?
Answer(s): E
If H is fourth, then what else do we know? Well there must always be three awards after H (K, L, J), so they must fill spaces five, six, and seven. J must be in seven, with K and L to split five and six in either order. With H in four and space five taken, the only place for F, which must be consecutive with H, is in space three. We're left with G and S to fill the first two spots. S must go first, and G must go second (Rule 1). As we head into the choices, here's our sketch for this question:SGFHK/LK/L J1234567Armed with this sketch, let's scan for the choice that must be true.
A college dean will present seven awards for outstanding language research. The awards -- one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili -- must be presented consecutively, one at a time, in conformity with the following constraints:The German award is not presented first.The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented.If the German award is presented third, which one of the following could be true?
Put G in three and try placing the rest of the awards. Begin with F and H, which must stay together (Rule 4).They can't go in four and five, because that wouldn't leave enough room for J to follow the K/L pair. So, F and H must be in the first and second spaces, in either order. There's nothing more for us to deduce, so let's start checking for the choice that could be true.The earliest that the Japanese award could be presented is- third- fourth- fifth- sixth- seventhAnswer(s): fifthWhat do we know about the placement of J? It must come after F, H, L, and K. So, with four awards before it, the earliest that J can be presented is fifth.
A college dean will present seven awards for outstanding language research. The awards -- one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili -- must be presented consecutively, one at a time, in conformity with the following constraints:The German award is not presented first.The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented.If the Japanese award is presented at some time before the Swahili award is presented, any of the following could be true EXCEPT:
First, add the new piece of information into our existing sketch to form:F/HF/H . . . K/LK/L . . . J . . . SWe now have the basic arrangement for six of the seven awards. What about the seventh award, G? Well, the only restriction on G is that it can't go first. Therefore, we know that the FH pair must be presented first and second, in either order. At this point, we have enough information with which to check the choices. Remember, we're looking for the one choice that cannot possibly be true.
A college dean will present seven awards for outstanding language research. The awards -- one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili -- must be presented consecutively, one at a time, in conformity with the following constraints:The German award is not presented first.The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented.The order in which the awards are presented is completely determined if which one of the following is true?
Answer(s): D
This question provides us with no new information. Rather, it asks us for the answer choice that, when added to the rules of the game, would determine the sequence of the awards. Blindly checking each choice could take a while. Instead, let's attack this question strategically. The correct answer choice will somehow have to restrict the placement of the freest entities, G and S. None of the choices mentions S, so let's check the three choices that contain G.
Exactly six piano classes are given sequentially on Monday: two with more than one student and four with exactly one student. Exactly four females -- Gimena, Holly, Iyanna, and Kate -- and five males -- Leung, Nate, Oscar, Pedro, and Saul -- attend these classes. Each student attends exactly one class. The following must obtain:Iyanna and Leung together constitute one class.Pedro and exactly two others together constitute one class.Kate is the first female, but not the first student, to attend a class.Gimena's class is at some time after Iyanna's but at some time before Pedro's.Oscar's class is at some time after Glmena's.Which one of the following students could attend the first class?
Who could be first? Only n or s. The testmaker picked s in option [Saul]. Boom. If you didn't make this deduction up front, you could have figured it out via elimination. The first student couldn't be a female (Rule 3), so option [Holly] is out. Leung is with Iyanna, who is after Kate, so option [Leung] is out. o and p are definitely placed after other entities, so options [Oscar] and [Pedro] are out, and again option [Saul] is correct. But it's faster to scan for the correct answer.
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