Exercício: Logic problem

Logic Problem
My girlfriend, Nora, keeps her things and some clothes in a chest-of-drawers. Try to find the drawer she puts her things in. Drawers A and B each contain Two different types of items, C and D each contain three, and E contains one.
1) The top drawer does not contain leggings.
2) Perfume and make-up aren’t together.
3) The T-shirts are in the same drawer of scarves.
4) The Pajamas are immediately below the drawer of the socks.
5) Pantyhose are in a drawer above the handkerchiefs.
6) The thinkets are above the leggings.
7) Socks are below the handkerchiefs.
8) Pajamas aren’t in the third drawer.
9) The socks are in the middle drawer.
10) Leggings are in a drawer with two more things.
11) Sweaters fill up one drawer.
12) Perfume is in a higher drawer than make-up.
13) Scarves are immediately above make-up.

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1 resposta
Ricardo F. Bernardi 6 33 479
Hello MORAES MATHEUS,

Analyzing the information, we have as follows:
9) The socks are in the middle drawer.
>> The middle drawer is the fourth. The socks are in the middle drawer, so the drawer number 4 contais the socks.
4) The pajamas are immediately below the drawer of the socks.
>> Since pajamas are immediately below the socks, they are in the fifth drawer.
8) Pajamas aren’t in the third drawer.
10) Leggings are in a drawer with two more things.
C and D each contain three.
>> According to this sentence, the leggings are in a drawer with a total of three items. The drawers containing three items are C and D, so the leggings are in either third drawer or fourth drawer. Since we know socks are in the fourth drawer, the leggings must be in the third drawer. The fact that the pajamas aren't in the third drawer is consistent with the previous steps.
3) The T-shirts are in the same drawer of scarves.
7) Socks are below the handkerchiefs.
5) Pantyhose are in a drawer above the handkerchiefs.
12) Perfume is in a higher drawer than make-up.
2) Perfume and make-up aren’t together.
>> Since leggings are in the third drawer, and the T-shirts are in the same drawer as the scarves, this means the scarves are in drawers numbers 4 or 5. This is not helpful, but it's a key fact to keep in mind. If the socks are below handkerchiefs, it means the handkerchiefs are in a drawer above the socks. Since the socks are in drawer number 4, the handkerchiefs must be in a drawer above it. This is not helpful as there is no drawer above it. Regarding on the pantyhoses above the handkerchiefs, we deduce the latter are in a drawer below the pantyhose. Since the handkerchiefs are in a drawer above the socks, the pantyhose must be in a drawer above the handkerchiefs. This is not helpful as there is no drawer above it. If the perfume is in a higher drawer than makeup, it means the perfume is in a drawer above the makeup. Since the makeup is in a drawer above the scarves, the perfume is in a drawer above the scarves. This is not helpful as there is no drawer above it. And we do not forget that the perfume and the make-up are not in the same drawer.
10) Leggings are in a drawer with two more things.
>> This is not helpful since we already know leggings are in the drawer with three items.
11) Sweaters fill up one drawer.
>> This is not helpful as there is no other information about sweaters.
13) Scarves are immediately above make-up.
>> This means the scarves are in a drawer immediately above the makeup. Since the perfume is in a drawer above the makeup, the scarves must be in the same drawer as the perfume. This is not helpful as there is no drawer above it.
6) The thinkets are above the leggings.
>> I believe we have a mistake. The correct sentence is Leggings are above the trinkets, which means the trinkets are in a drawer below the leggings. Since the leggings are in the third drawer, the trinkets must be in a drawer below it. This is not helpful as there is no drawer below it.
The top drawer does not contain leggings.
>> This is not helpful as we already know the leggings are in third drawer. Therefore, the third drawer (Drawer D) contains the leggings, which are in a drawer with two more items. Drawer D is the third drawer from the top. This is because the socks are in the middle drawer (4th), the pajamas are immediately below (5th), and the leggings are in a drawer with two other items (which is drawer D, as it contains three items). Other clues like the relationship between t-shirts and scarves, and perfume and makeup help pinpoint other items' locations.

So, Nora's belongings are in drawer D.
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