ACE Generell Problemlösning

In each figure there is a white heart, a white star, or a black star, moving inside the petals of the
flower. We can see that the pattern is as follows:

Looking at the rows from left to right, each shape is governed by a different pattern. In other words, the pattern is complex motion: in each step the heart moves one petal in a clockwise motion pattern, while the star moves in a back-and-forth motion pattern (can also be seen as a 180° rotation pattern). If both shapes end up in the same petal because of the pattern above, a complex construction pattern applies: the star changes its color to black and the heart “disappears”.

Looking at the columns, from top to bottom, the pattern is complex motion as well: here, the star
moves one section in each step in a clockwise motion pattern, while the heart moves in a back-and- forth motion pattern (can also be seen as a 180° rotation pattern). If both shapes end up in the same petal because of the pattern above, a complex construction pattern applies: the star changes its color to black and the heart “disappears”.

To find the correct answer let’s look at the third row, from left to right: the star moves back and
forth between the top and bottom petals. The heart starts in the top-left petal in the first figure, and then moves one step clockwise to the top petal on the second figure. The black star on the top petal in the second figure indicates that both shapes are in the same place. According to the pattern
mentioned above, in the next figure the star should move back to the bottom petal. The heart
should move one step clockwise and land on the top-right petal.

Answer (1) matches this description, and is therefore is the right answer.

Pro-Tip: since time constraints are something to be considered in this test, we can use the process of elimination to find the right answer more quickly. A brief look at the columns reveals that the stars move in a clockwise direction. Even before considering the color of the shapes, this leaves us with answers (1) and (4). In each column, the hearts “jump” between appearing in the same place and appearing 180 ° from each other. Therefore, answer (1) is correct.

The correct answer is answer alternative 5.

We need to find the answer choice that could be false. This means that four out of the five answers must be true. Each answer choice suggests a certain placement for one of the people in line. We can look for the answer that lists only some of the possibilities for a certain person, based on the information above. Alternatively, we can eliminate answer choices that are definitely true.

Let's see what we can learn from the information provided.

first                                                                  last

Since Georgia is 1st, John is not 1st, which means that Lumina is standing somewhere in front of him. We are also told that Fiona is somewhere between them.

Now, since Ian (and Kilgore) must be standing behind Fiona, and since Heather is behind John (who is also behind Fiona), it follows that four people must be standing behind Fiona. The only way this could work is if Fiona is 3rd, which would make Lumina 2nd:

first                                                                  last

Answer choices A and B must be true, and are therefore eliminated.

The remaining plausible setups are:

first                                                                  last

Since Kilgore can be in any of the remaining four places, and not just the 5th or 6th, answer choice E is the correct answer (as it suggests something that does not have to be true).

Notice that we can also eliminate answer choice D: Since Ian and Kilgore must be standing together, and since Heather must be behind John, John has to be either 4th or 6th. If he were 5th, and Heather was somewhere behind him, Ian and Kilgore could not be together. If he were last, Heather could not be behind him.

The correct answer is answer alternative 2.

If we add up all of the time that it took Sarah from the time she left her house until she completed her errand, we will find that 6+8+5+17 = 36.

Blush is a bodily expression of embarrassment just as perspire is a bodily expression of fear.