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.

Traffic congestion constitutes a problem that afflicts thousands of Brazilian drivers every day. The graph illustrates the situation, representing, over a defined time interval, the variation in the speed of a vehicle during a traffic jam.
How many minutes did the vehicle remain stationary throughout the total time interval analyzed?
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0

In a cafeteria, the success of summer sales are juices prepared based on fruit pulp. One of the best-selling juices is strawberry with acerola, which is prepared with $\frac{2}{3}$ of strawberry pulp and $\frac{1}{3}$ of acerola pulp.
For the merchant, the pulps are sold in packages of equal volume. Currently, the strawberry pulp package costs $\mathrm{R}\$ 18.00$ and the acerola one costs $\mathrm{R}\$ 14.70$. However, a price increase is expected for the acerola pulp package next month, rising to $\mathrm{R}\$ 15.30$.
To not increase the price of the juice, the merchant negotiated with the supplier a reduction in the price of the strawberry pulp package.
The reduction, in reais, in the price of the strawberry pulp package should be
(A) 1.20.
(B) 0.90.
(C) 0.60.
(D) 0.40.
(E) 0.30.

A couple is moving to a new home and needs to place a cubic object, with 80 cm edges, in a cardboard box, which cannot be disassembled. They have five boxes available, with different dimensions, as described:

• Box 1: $86 \mathrm{~cm} \times 86 \mathrm{~cm} \times 86 \mathrm{~cm}$
• Box 2: $75 \mathrm{~cm} \times 82 \mathrm{~cm} \times 90 \mathrm{~cm}$
• Box 3: $85 \mathrm{~cm} \times 82 \mathrm{~cm} \times 90 \mathrm{~cm}$
• Box 4: $82 \mathrm{~cm} \times 95 \mathrm{~cm} \times 82 \mathrm{~cm}$
• Box 5: $80 \mathrm{~cm} \times 95 \mathrm{~cm} \times 85 \mathrm{~cm}$

The couple needs to choose a box in which the object fits, so that the least free space remains in its interior.
The box chosen by the couple should be number
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.

A company specializing in pool maintenance uses a water treatment product whose technical specifications suggest adding $1.5 \mathrm{~mL}$ of this product for every 1000 L of pool water. This company was hired to care for a pool with a rectangular base, constant depth equal to $1.7 \mathrm{~m}$, with width and length equal to 3 m and 5 m, respectively. The water level of this pool is maintained at 50 cm from the edge of the pool.
The amount of this product, in milliliters, that should be added to this pool in order to meet its technical specifications is
(A) 11.25.
(B) 27.00.
(C) 28.80.
(D) 32.25.
(E) 49.50.

In a tourist cable car, cabins leave stations at sea level and at the top of a mountain. The crossing takes 1.5 minutes and both cabins move at the same speed. Forty seconds after cabin $A$ departs from the station at sea level, it crosses with cabin $B$, which had left from the top of the mountain.
How many seconds after cabin $B$ departed did cabin $A$ depart?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25

On a stormy day, the change in the depth of a river, at a certain location, was recorded during a 4-hour period. The results are indicated in the line graph. In it, the depth $h$, recorded at 13 hours, was not noted and, from $h$, each unit on the vertical axis represents one meter.
It was reported that between 15 hours and 16 hours, the depth of the river decreased by 10\%. At 16 hours, what is the depth of the river, in meters, at the location where the records were made?
(A) 18
(B) 20
(C) 24
(D) 36
(E) 40

A hotel chain has simple cabins on the island of Gotland, in Sweden. The support structure of each of these cabins is represented in Figure 2.
The geometric form of the surface whose edges are represented in Figure 2 is
(A) tetrahedron.
(B) rectangular pyramid.
(C) truncated rectangular pyramid.
(D) right rectangular prism.
(E) right triangular prism.

The figure illustrates a game of Minesweeper, the game present in practically every personal computer. Four squares on a $16 \times 16$ board were opened, and the numbers on their faces indicate how many of their 8 neighbors contain mines (to be avoided). The number 40 in the lower right corner is the total number of mines on the board, whose positions were chosen at random, uniformly, before opening any square.
In his next move, the player must choose among the squares marked with the letters $P, Q, R, S$ and $T$ one to open, and should choose the one with the lowest probability of containing a mine.
The player should open the square marked with the letter
(A) $P$.
(B) $Q$.
(C) $R$.
(D) $S$.
(E) $T$.

The image presented in the figure is a black and white copy of the square canvas titled The Fish, by Marcos Pinto, which was placed on a wall for exhibition and fixed at points $A$ and $B$. Due to a problem with the fixing of one of the points, the screen came loose, rotating flush against the wall. After the rotation, it was positioned as illustrated in the figure, forming an angle of $45^{\circ}$ with the horizon line.
To reposition the screen in its original position, it must be rotated, flush against the wall, at the smallest possible angle less than $360^{\circ}$. The way to reposition the screen in the original position, following what was established, is by rotating it at an angle of
(A) $90^{\circ}$ clockwise.
(B) $135^{\circ}$ clockwise.
(C) $180^{\circ}$ counterclockwise.
(D) $270^{\circ}$ counterclockwise.
(E) $315^{\circ}$ clockwise.

Water for supplying a building is stored in a system formed by two identical reservoirs, in the shape of a rectangular block, connected to each other by a pipe equal to the inlet pipe. Water enters the system through the inlet pipe in Reservoir 1 at a constant flow rate and, upon reaching the level of the connecting pipe, begins to supply Reservoir 2. Assume that initially both reservoirs are empty. Which of the graphs best describes the height $h$ of the water level in Reservoir 1, as a function of the volume $V$ of water in the system?
(A) [Graph A]
(B) [Graph B]
(C) [Graph C]
(D) [Graph D]
(E) [Graph E]

Consider that the external radius of each pipe in the image is 0.60 m and that they are on top of a truck bed whose upper part is at $1.30 \mathrm{~m}$ from the ground. The drawing represents the rear view of the pipe stacking.
The recommended safety margin for a vehicle to pass under an overpass is that the total height of the vehicle with the load be at least $0.50 \mathrm{~m}$ less than the height of the overpass span.
Consider 1.7 as an approximation for $\sqrt{3}$. What should be the minimum height of the overpass, in meters, for this truck to pass safely under its span?
(A) 2.82
(B) 3.52
(C) 3.70
(D) 4.02
(E) 4.20

A boy has just moved to a new neighborhood and wants to go to the bakery. He asked a friend for help who gave him a map with numbered points, representing five places of interest, among which is the bakery. Furthermore, the friend gave the following instructions: starting from the point where you are, represented by the letter $X$, walk west, turn right at the first street you find, continue straight ahead and turn left at the next street. The bakery will be right after.
The bakery is represented by the numbered point
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.

A designer draftsperson must draw a pan lid in circular form. To perform this drawing, she has, at the moment, only a compass whose leg length is 10 cm, a protractor, and a sheet of paper with a Cartesian plane. To sketch this lid, she separated the compass legs so that the angle formed by them was $120^{\circ}$. The needle point is represented by point $C$, the pencil point is represented by point $B$, and the compass head is represented by point $A$.
After completing the drawing, she sends it to the production department. Upon receiving the drawing with the indication of the lid's radius, they will verify in which interval it falls and decide the type of material to be used in its manufacture, according to the data.

Type of material	Interval of radius values (cm)
I	$0 < \mathrm{R} \leq 5$
II	$5 < \mathrm{R} \leq 10$
III	$10 < \mathrm{R} \leq 15$
IV	$15 < \mathrm{R} \leq 21$
V	$21 < \mathrm{R} \leq 40$

Consider 1.7 as an approximation for $\sqrt{3}$. The type of material to be used by the production department will be
(A) I.
(B) II.
(C) III.
(D) IV.
(E) V.

A person received a bracelet made of spherical pearls, in which one of the pearls was missing. She took the jewelry to a jeweler who verified that the diameter measurement of these pearls was 4 millimeters. In his inventory, pearls of the same type and format, available for replacement, had diameters equal to: $4.025 \mathrm{~mm}$; $4.100 \mathrm{~mm}$; $3.970 \mathrm{~mm}$; $4.080 \mathrm{~mm}$ and $3.099 \mathrm{~mm}$.
The jeweler then placed on the bracelet the pearl whose diameter was closest to the diameter of the original pearls.
The pearl placed on the bracelet by the jeweler has a diameter, in millimeters, equal to
(A) 3.099.
(B) 3.970.
(C) 4.025.
(D) 4.080.
(E) 4.100.

On one of his trips, a tourist bought a souvenir of one of the monuments he visited. On the base of the object there is information stating that it is a piece on a scale of 1 : 400, and that its volume is $25 \mathrm{~cm}^{3}$.
The volume of the original monument, in cubic meters, is
(A) 100.
(B) 400.
(C) 1600.
(D) 6250.
(E) 10000.

A mountain bike type bicycle has a chainring with 3 gears and a cassette with 6 gears, which, combined with each other, determine 18 speeds (number of chainring gears times the number of cassette gears).
The number of teeth of the gears on the chainrings and cassettes of this bicycle are listed in the table.

Gears	$\mathbf{1}^{\mathrm{st}}$	$\mathbf{2}^{\mathrm{nd}}$	$\mathbf{3}^{\mathrm{rd}}$	$\mathbf{4}^{\mathrm{th}}$	$\mathbf{5}^{\mathrm{th}}$	$\mathbf{6}^{\mathrm{th}}$
\begin{tabular}{ c } Number of teeth on
chainring

& 46 & 36 & 26 & - & - & - \hline

Number of teeth on

cassette

& 24 & 22 & 20 & 18 & 16 & 14 \hline \end{tabular}
It is known that the number of rotations made by the rear wheel with each pedal stroke is calculated by dividing the number of teeth on the chainring by the number of teeth on the cassette.
During a ride on a bicycle of this type, one wishes to make a route as slowly as possible, choosing for this one of the following gear combinations (chainring x cassette):

$\mathbf{I}$	II	III	IV	V
$1^{\mathrm{st}} \times 1^{\mathrm{st}}$	$1^{\mathrm{st}} \times 6^{\mathrm{th}}$	$2^{\mathrm{nd}} \times 4^{\mathrm{th}}$	$3^{\mathrm{rd}} \times 1^{\mathrm{st}}$	$3^{\mathrm{rd}} \times 6^{\mathrm{th}}$

The combination chosen to perform this ride in the desired way is
(A) I.
(B) II.
(C) III.
(D) IV.
(E) V.

The organizing committee of the 2014 World Cup created the World Cup logo, composed of a flat figure and the slogan ``Together in one rhythm'', with hands that unite forming the FIFA trophy. Consider that the organizing committee decided to use all the colors of the national flag (green, yellow, blue, and white) to color the logo, so that neighboring regions have different colors.
In how many different ways could the World Cup organizing committee paint the logo with the mentioned colors?
(A) 15
(B) 30
(C) 108
(D) 360
(E) 972

The English physiologist Archibald Vivian Hill proposed, in his studies, that the velocity $v$ of contraction of a muscle when subjected to a weight $p$ is given by the equation $( p + a )( v + b ) = K$, with $a$, $b$, and $K$ constants.
A physiotherapist, with the intention of maximizing the beneficial effect of the exercises he would recommend to one of his patients, wanted to study this equation and classified it as follows:

Type of curve

Oblique half-line

Horizontal half-line

Branch of parabola

Arc of circle

Branch of hyperbola

The physiotherapist analyzed the dependence between $v$ and $p$ in Hill's equation and classified it according to its geometric representation in the Cartesian plane, using the coordinate pair ($p$; $v$). Assume that $K > 0$.
The graph of the equation that the physiotherapist used to maximize the effect of the exercises is of the type
(A) oblique half-line.
(B) horizontal half-line.
(C) branch of parabola.
(D) arc of circle.
(E) branch of hyperbola.

In a park there are two viewpoints of different heights that are accessed by a panoramic elevator. The top of viewpoint 1 is accessed by elevator 1, while the top of viewpoint 2 is accessed by elevator 2. They are at a distance that can be traveled on foot, and between the viewpoints there is a cable car that connects them which may or may not be used by the visitor.
Access to the elevators has the following costs:

• Going up by elevator 1: $\mathrm{R}\$ 0.15$;
• Going up by elevator 2: $\mathrm{R}\$ 1.80$;
• Going down by elevator 1: $\mathrm{R}\$ 0.10$;
• Going down by elevator 2: $\mathrm{R}\$ 2.30$.

The cost of the cable car ticket departing from the top of viewpoint 1 to the top of viewpoint 2 is $\mathrm{R}\$ 2.00$, and from the top of viewpoint 2 to the top of viewpoint 1 is $\mathrm{R}\$ 2.50$. What is the lowest cost, in reais, for a person to visit the tops of both viewpoints and return to ground level?
(A) 2.25
(B) 3.90
(C) 4.35
(D) 4.40
(E) 4.45

Research shows that a driver who drives a car at a constant speed travels ``blindly'' (that is, without vision of the road) a distance proportional to the time spent looking at the cell phone while typing the message. Consider that this indeed happens. Suppose that two drivers ($X$ and $Y$) drive at the same constant speed and type the same message on their cell phones. Suppose, further, that the time spent by driver $X$ looking at his cell phone while typing the message corresponds to $25\%$ of the time spent by driver $Y$ to perform the same task.
The ratio between the distances traveled blindly by $X$ and $Y$, in that order, is equal to
(A) $\frac{5}{4}$
(B) $\frac{1}{4}$
(C) $\frac{4}{3}$
(D) $\frac{4}{1}$
(E) $\frac{3}{4}$

The result of an electoral survey, regarding voter preference in relation to two candidates, was represented by means of Graph 1. When this result was published in a newspaper, Graph 1 was cut during layout, as shown in Graph 2. Although the values presented were correct and the width of the columns was the same, many readers criticized the format of Graph 2 printed in the newspaper, claiming that there was visual harm to candidate B.
The difference between the ratios of the height of column B to column A in graphs 1 and 2 is
(A) 0
(B) $\frac{1}{2}$
(C) $\frac{1}{5}$
(D) $\frac{2}{15}$
(E) $\frac{8}{35}$

To decorate a children's party table, a chef will use a spherical melon with a diameter measuring 10 cm, which will serve as a support for inserting various candies. He will remove a spherical cap from the melon, and, to ensure the stability of this support, making it difficult for the melon to roll on the table, the chef will make the cut so that the radius $r$ of the circular section of the cut is at least 3 cm. On the other hand, the chef will want to have the largest possible area of the region where the candies will be attached.
To achieve all his objectives, the chef should cut the melon cap at a height $h$, in centimeters, equal to
(A) $5 - \frac{\sqrt{91}}{2}$
(B) $10 - \sqrt{91}$
(C) 1
(D) 4
(E) 5

How much time do you spend connected to the internet? To answer this question, a small computer application was created that runs on the desktop to automatically generate a pie chart, mapping the time a person accesses five visited websites. On a computer, it was observed that there was a significant increase in access time from Friday to Saturday on the five most accessed websites.
Analyzing the computer graphs, the highest rate of increase in access time from Friday to Saturday was on the website
(A) X.
(B) Y.
(C) Z.
(D) W.
(E) U.