For an airplane to be authorized to land at an airport, the aircraft must necessarily satisfy the following safety conditions:
I. the wingspan of the aircraft (greatest distance between the tips of the airplane's wings) must be at most equal to the width of the runway;
II. the length of the aircraft must be less than 60 m;
III. the maximum load (sum of the masses of the aircraft and its cargo) cannot exceed 110 t.
Suppose that the largest runway at this airport is 0.045 km wide, and that the models of airplanes used by airlines that use this airport are given in the table.

Model	Dimensions (length $\times$ wingspan)	Maximum load
A	$44{,}57 \mathrm{~m} \times 34{,}10 \mathrm{~m}$	110000 kg
B	$44{,}00 \mathrm{~m} \times 34{,}00 \mathrm{~m}$	95000 kg
C	$44{,}50 \mathrm{~m} \times 39{,}50 \mathrm{~m}$	121000 kg
D	$61{,}50 \mathrm{~m} \times 34{,}33 \mathrm{~m}$	79010 kg
E	$44{,}00 \mathrm{~m} \times 34{,}00 \mathrm{~m}$	120000 kg

The only aircraft able to land at this airport, according to safety regulations, are those of models
(A) A and C.
(B) A and B.
(C) B and D.
(D) B and E.
(E) C and E.

The owner of a restaurant wants to buy a rectangular glass top for the base of a table, as illustrated in the figure.
It is known that the base of the table, considering the outer edge, has the shape of a rectangle, whose sides measure $AC = 105 \mathrm{~cm}$ and $AB = 120 \mathrm{~cm}$.
At the store where the top will be purchased, there are five types of top options with different dimensions, all with the same thickness, namely:
Type 1: $110 \mathrm{~cm} \times 125 \mathrm{~cm}$
Type 2: $115 \mathrm{~cm} \times 125 \mathrm{~cm}$
Type 3: $115 \mathrm{~cm} \times 130 \mathrm{~cm}$
Type 4: $120 \mathrm{~cm} \times 130 \mathrm{~cm}$
Type 5: $120 \mathrm{~cm} \times 135 \mathrm{~cm}$
The owner evaluates, for user convenience, that one should choose the top with the smallest possible area that satisfies the condition: when placing the top on the base, on each side of the outer edge of the table base, there should be a remaining region, corresponding to a glass frame, limited by a minimum of 4 cm and maximum of 8 cm outside the table base, on each side.
According to the previous conditions, which type of glass top did the owner evaluate should be chosen?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

A rectangular plot of land with sides whose measurements, in meters, are $x$ and $y$ will be fenced for the construction of an amusement park. One side of the plot is located on the banks of a river. Observe the figure.
To fence the entire plot, the owner will spend R\$ 7500.00. The fence material costs R\$ 4.00 per meter for the sides of the plot parallel to the river, and R\$ 2.00 per meter for the other sides.
Under these conditions, the dimensions of the plot and the total cost of the material can be related by the equation
(A) $4(2x + y) = 7500$
(B) $4(x + 2y) = 7500$
(C) $2(x + y) = 7500$
(D) $2(4x + y) = 7500$
(E) $2(2x + y) = 7500$

Until November 2011, there was no specific law that punished fraud in public competitions. This made it difficult to frame fraudsters in any specific article of the Penal Code, causing them to escape Justice more easily. However, with the enactment of Law 12.550/11, it is considered a crime to improperly use or disclose confidential content of a public competition, with a penalty of imprisonment of 12 to 48 months (1 to 4 years). If this crime is committed by a public official, the penalty will increase by $\frac{1}{3}$.
If a public official is convicted of defrauding a public competition, his imprisonment sentence may vary from
(A) 4 to 16 months.
(B) 16 to 52 months.
(C) 16 to 64 months.
(D) 24 to 60 months.
(E) 28 to 64 months.

The manager of a parking lot near a large airport knows that a passenger who uses his car for home-airport-home trips spends about $\mathrm{R}\$ 10.00$ on fuel for this trip. He also knows that a passenger who does not use his car for home-airport-home trips spends about $\mathrm{R}\$ 80.00$ on transportation.
Suppose that passengers who use their own vehicles leave their cars in this parking lot for a period of two days.
To make the use of the parking lot attractive to these passengers, the value, in reais, charged per day of parking should be, at most,
(A) 35.00.
(B) 40.00.
(C) 45.00.
(D) 70.00.
(E) 90.00.

Starting from point A, one travels to point B which is 6 km away, and then returns to point A along the same route. For the first 1 km, one walks at a constant speed, and for the remaining 5 km, one travels at twice the initial walking speed. On the return trip, one travels at a speed 2 km/h faster than the initial walking speed. When the total time for the round trip is at most 2 hours 30 minutes, what is the minimum value of the initial walking speed? (Given that the unit of speed is km/h.) [3 points]
(1) $\frac { 12 } { 5 }$
(2) $\frac { 13 } { 5 }$
(3) $\frac { 14 } { 5 }$
(4) 3
(5) $\frac { 16 } { 5 }$

The difference between the heights of a building and a tree on flat ground is 8 meters. After some time, the tree's height doubled and this difference became 3 meters.
Accordingly, the building's height I. 13 meters II. 16 meters III. 19 meters which of these values could it be?
A) Only I
B) Only II
C) I and III
D) II and III
E) I, II and III

A coffee machine detects the length of the cup placed in its cup holder. For the coffee machine to operate, the distance between the coffee reservoir and the top of the cup must be at least 11.5 cm and at most 12.4 cm, as shown in the figure.
When a cup of length $14.5 \mathrm{~cm}$ is placed in the cup holder of this coffee machine, the machine operates; when a cup of length $15.2 \mathrm{~cm}$ is placed, the machine does not operate.
Accordingly, when cups of the following lengths are placed in the cup holder of this coffee machine:
I. $14.2 \mathrm{~cm}$ II. $14.4 \mathrm{~cm}$ III. $14.6 \mathrm{~cm}$
For which of these will the machine definitely operate?
A) Only I B) Only II C) Only III D) I and II