The graph provides the values of shares of company XPN, in the period from 10 to 17 hours, on a day when they fluctuated sharply in short time intervals.
On this day, five investors bought and sold the same volume of shares, but at different times, according to the following table.

Investor	Purchase Time	Sale Time
1	10:00	15:00
2	10:00	17:00
3	13:00	15:00
4	15:00	16:00
5	16:00	17:00

With respect to the capital acquired in the purchase and sale of shares, which investor made the best deal?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

The following figure presents two graphs with information about daily complaints received and resolved by the Customer Service Sector (SAC) of a company, in a given week. The dashed line graph shows the number of complaints received on the day, the solid line shows the number of complaints resolved on the day. Complaints can be resolved on the same day or take more than one day to be resolved.
The service manager wants to identify the days of the week when the efficiency level can be considered very good, that is, the days when the number of complaints resolved exceeds the number of complaints received.
The service manager was able to conclude, based on the efficiency concept used in the company and on the graph information, that the efficiency level was very good on
(A) Monday and Tuesday.
(B) Tuesday and Wednesday.
(C) Tuesday and Thursday.
(D) Thursday, Saturday and Sunday.
(E) Monday, Thursday and Friday.

A mother consulted the package insert to check the dosage of a medicine she needed to give to her son. In the insert, the following dosage was recommended: 5 drops for every 2 kg of body mass every 8 hours.
If the mother correctly administered 30 drops of the medicine to her son every 8 hours, then his body mass is
(A) 12 kg.
(B) 16 kg.
(C) 24 kg.
(D) 36 kg.
(E) 75 kg.

João proposed a challenge to Bruno, his classmate: he would describe a displacement along the pyramid below and Bruno should draw the projection of this displacement on the plane of the pyramid's base.
The displacement described by João was: move along the pyramid, always in a straight line, from point A to point E, then from point E to point M, and then from M to C.
The drawing that Bruno should make is
(A) [figure A]
(B) [figure B]
(C) [figure C]
(D) [figure D]
(E) [figure E]

In shopping centers there are usually parks with various rides and games. Users load credits onto a card, which are deducted for each period of time using the games. Depending on the child's score in the game, she receives a certain number of tickets to exchange for products in the park's stores.
Suppose that the period of use of a ride in a certain shopping center costs $\mathrm{R}\$ 3.00$ and that a bicycle costs 9200 tickets. For a child who receives 20 tickets per period of time that she plays, the value, in reais, spent on credits to obtain the quantity of tickets to exchange for the bicycle is
(A) 153.
(B) 460.
(C) 1218.
(D) 1380.
(E) 3066.

There are electric showers on the market with different power ratings, which represent different consumptions and costs. The power (P) of an electric shower is given by the product between its electrical resistance (R) and the square of the electrical current (i) flowing through it. The consumption of electrical energy (E), in turn, is directly proportional to the power of the device.
Considering the characteristics presented, which of the following graphs represents the relationship between the energy consumed (E) by an electric shower and the electrical current (i) flowing through it?
(A) [graph A]
(B) [graph B]
(C) [graph C]
(D) [graph D]
(E) [graph E]

On February 20, 2011, the great eruption of the Bulusan volcano in the Philippines occurred. Its geographic location on the terrestrial globe is given by GPS (acronym in English for Global Positioning System) with longitude of $124^{\circ}3'0''$ east of the Greenwich Meridian. Given: $1^{\circ}$ is equivalent to $60'$ and $1'$ is equivalent to $60''$.
The angular representation of the volcano's location with respect to its longitude in decimal form is
(A) $124.02^{\circ}$.
(B) $124.05^{\circ}$.
(C) $124.20^{\circ}$.
(D) $124.30^{\circ}$.
(E) $124.50^{\circ}$.

The North American Space Agency (NASA) reported that asteroid YU 55 crossed the space between the Earth and the Moon in November 2011. The illustration below suggests that the asteroid traveled its trajectory in the same plane that contains the orbit described by the Moon around the Earth. In the figure, the proximity of the asteroid in relation to the Earth is indicated, that is, the shortest distance it passed from the Earth's surface.
Based on this information, the shortest distance that asteroid YU 55 passed from the Earth's surface is equal to
(A) $3.25 \times 10^{2}\mathrm{~km}$.
(B) $3.25 \times 10^{3}\mathrm{~km}$.
(C) $3.25 \times 10^{4}\mathrm{~km}$.
(D) $3.25 \times 10^{5}\mathrm{~km}$.
(E) $3.25 \times 10^{6}\mathrm{~km}$.

There are, due to the growing demand for water conservation, equipment and utilities such as, for example, ecological toilets, which use 6 liters of water per flush instead of the 15 liters used by non-ecological toilets, according to data from the Brazilian Association of Technical Standards (ABNT).
What will be the daily water savings obtained by replacing a non-ecological toilet, which uses about 60 liters per day with flushing, with an ecological toilet?
(A) 24 liters
(B) 36 liters
(C) 40 liters
(D) 42 liters
(E) 50 liters

A laboratory performs tests in which it is possible to observe a person's glucose rate. The results are analyzed according to the following table.

Hypoglycemia	glucose rate less than or equal to $70\mathrm{~mg}/\mathrm{dL}$
Normal	glucose rate greater than $70\mathrm{~mg}/\mathrm{dL}$ and less than or equal to $100\mathrm{~mg}/\mathrm{dL}$
Pre-diabetes	glucose rate greater than $100\mathrm{~mg}/\mathrm{dL}$ and less than or equal to $125\mathrm{~mg}/\mathrm{dL}$
Diabetes Mellitus	glucose rate greater than $125\mathrm{~mg}/\mathrm{dL}$ and less than or equal to $250\mathrm{~mg}/\mathrm{dL}$
Hyperglycemia	glucose rate greater than $250\mathrm{~mg}/\mathrm{dL}$

A patient had a glucose test at this laboratory and confirmed that he had hyperglycemia. His glucose rate was $300\mathrm{~mg}/\mathrm{dL}$. His doctor prescribed a treatment in two stages. In the first stage he managed to reduce his rate by 30\% and in the second stage by 10\%.
When calculating his glucose rate after the two reductions, the patient verified that he was in the category of
(A) hypoglycemia.
(B) normal.
(C) pre-diabetes.
(D) diabetes mellitus.
(E) hyperglycemia.

Portuguese designer Miguel Neiva created a system of symbols that allows colorblind people to identify colors. The system consists of using symbols that identify primary colors (blue, yellow, and red). Furthermore, the juxtaposition of two of these symbols allows the identification of secondary colors (such as green, which is yellow combined with blue). Black and white are identified by small squares: the one that symbolizes black is filled, while the one that symbolizes white is empty. The symbols that represent black and white can also be associated with the symbols that identify colors, meaning whether these are light or dark.
According to the text, how many colors can be represented by the proposed system?
(A) 14
(B) 18
(C) 20
(D) 21
(E) 23

Ceramics possess the property of shrinkage, which consists of the evaporation of water existing in a ceramic set or block subjected to a certain elevated temperature: in its place appearing ``empty spaces'' that tend to approach each other. In the place previously occupied by water, gaps will remain and, consequently, the set tends to shrink. Consider that in the firing process, clay ceramics undergo a contraction in linear dimensions of 20\%.
Taking into account the firing process and the contraction suffered, the volume V of a clay serving dish, with a cubic shape with edge a, decreases to a value that is
(A) $20\%$ less than V, since the volume of the cube is directly proportional to the length of its side.
(B) $36\%$ less than V, because the area of the base decreases from $\mathrm{a}^{2}$ to $((1-0.2)\mathrm{a})^{2}$.
(C) $48.8\%$ less than V, because the volume decreases from $\mathrm{a}^{3}$ to $(0.8\mathrm{a})^{3}$.
(D) $51.2\%$ less than V, because each side decreases to $80\%$ of the original length.
(E) $60\%$ less than V, because each side decreases by $20\%$.

The Puerta de Europa towers are two towers leaning against each other, built on an avenue in Madrid, Spain. The inclination of the towers is $15^{\circ}$ with the vertical and they each have a height of 114 m (the height is indicated in the figure as segment AB). These towers are a good example of an oblique prism with a square base and one of them can be seen in the image.
Using 0.26 as the approximate value for the tangent of $15^{\circ}$ and two decimal places in operations, one discovers that the base area of this building occupies on the avenue a space
(A) less than $100 \mathrm{~m}^{2}$. (B) between $100 \mathrm{~m}^{2}$ and $300 \mathrm{~m}^{2}$. (C) between $300 \mathrm{~m}^{2}$ and $500 \mathrm{~m}^{2}$. (D) between $500 \mathrm{~m}^{2}$ and $700 \mathrm{~m}^{2}$. (E) greater than $700 \mathrm{~m}^{2}$.

A faucet was not closed properly and dripped, from midnight to six in the morning, with the frequency of one drop every three seconds. It is known that each water drop has a volume of $0.2 \mathrm{~mL}$.
What was the closest approximate value of the total water wasted during this period, in liters?
(A) 0.2 (B) 1.2 (C) 1.4 (D) 12.9 (E) 64.8

A merchant visits a sales center to quote prices for the products they wish to buy. They verify that 100\% of the quantity acquired of type A products is used, but only 90\% of type B products. This merchant wishes to buy a quantity of products, obtaining the lowest cost/benefit in each one. The table shows the price per kilogram, in reals, of each product traded.

Product	Type A	Type B
Rice	2.00	1.70
Beans	4.50	4.10
Soy	3.80	3.50
Corn	6.00	5.30

The types of rice, beans, soy and corn that should be chosen by the merchant are, respectively,
(A) $\mathrm{A}, \mathrm{A}, \mathrm{A}, \mathrm{A}$. (B) $\mathrm{A}, \mathrm{B}, \mathrm{A}, \mathrm{B}$. (C) $\mathrm{A}, \mathrm{B}, \mathrm{B}, \mathrm{A}$. (D) $\mathrm{B}, \mathrm{A}, \mathrm{A}, \mathrm{B}$. (E) $\mathrm{B}, \mathrm{B}, \mathrm{B}, \mathrm{B}$.

In a duct system, three equal pipes, with external radius 30 cm, are welded together and placed inside a pipe with larger radius, of measure R. For later easy maintenance, there must be a distance of 10 cm between the welded pipes and the larger radius pipe. This distance is guaranteed by a metal spacer, as shown in the figure.
Use 1.7 as an approximation for $\sqrt{3}$. The value of R, in centimeters, is equal to
(A) 64.0. (B) 65.5. (C) 74.0. (D) 81.0. (E) 91.0.

The efficiency index used by a milk producer to qualify his cows is given by the product of the lactation time (in days) by the average daily milk production (in kg), divided by the interval between births (in months). For this producer, the cow is qualified as efficient when this index is, at minimum, 281 kilograms per month, always maintaining the same management conditions (feeding, vaccination and others). When comparing two or more cows, the most efficient is the one with the highest index.
The table presents the data collected from five cows:

Cow	Lactation time (in days)	Average daily milk production (in kg)	Interval between births (in months)
Malhada	360	12.0	15
Mamona	310	11.0	12
Maravilha	260	14.0	12
Mateira	310	13.0	13
Mimosa	270	12.0	11

After analyzing the data, the producer evaluated that the most efficient cow is
(A) Malhada. (B) Mamona. (C) Maravilha. (D) Mateira. (E) Mimosa.

The Health Department of a municipality evaluates a program that provides, for each student of a municipal school, a bicycle, which should be used on the route to and from their home and school. In the implementation phase of the program, the student who lived farthest from school always made the same route, represented in the figure, on a scale of 1 : 25,000, for a period of five days.
How many kilometers did this student travel during the implementation phase of the program?
(A) 4 (B) 8 (C) 16 (D) 20 (E) 40

The city of Guarulhos (SP) has the 8th municipal GDP in Brazil, in addition to the largest airport in South America. In proportion, it has the economy that grows the most in industries, as shown in the graph.
Analyzing the percentage data in the graph, what is the difference between the largest and smallest growth center in the industrial hub?
(A) 75.28 (B) 64.09 (C) 56.95 (D) 45.76 (E) 30.07

In a certain theater, the seats are divided into sectors. The figure presents the view of sector 3 of this theater, in which the dark chairs are reserved and the light ones have not been sold.
The ratio that represents the quantity of reserved chairs in sector 3 in relation to the total number of chairs in that same sector is
(A) $\frac{17}{70}$ (B) $\frac{17}{53}$ (C) $\frac{53}{70}$ (D) $\frac{53}{17}$ (E) $\frac{70}{17}$

For the reforestation of an area, the sides of a piece of land must be completely fenced with mesh, except for the side bordered by the river, as shown in the figure. Each roll of mesh that will be purchased for making the fence contains 48 meters in length.
The minimum quantity of rolls that should be purchased to fence this land is
(A) 6. (B) 7. (C) 8. (D) 11. (E) 12.

One of the major problems faced on Brazilian highways is the excess load transported by trucks. Designed for traffic within legal load limits, the road surface deteriorates with the excessive weight of trucks. Furthermore, excess load interferes with the vehicle's braking capacity and suspension operation, frequent causes of accidents.
Aware of this responsibility and based on experience gained from weighing, a truck driver knows that his truck can carry, at most, 1500 tiles or 1200 bricks.
Considering this truck loaded with 900 tiles, how many bricks, at most, can be added to the load so as not to exceed the truck's maximum load?
(A) 300 bricks (B) 360 bricks (C) 400 bricks (D) 480 bricks (E) 600 bricks

During a Mathematics class, the teacher suggests to the students that a Cartesian coordinate system $(x, y)$ be established and represents on the board the description of five algebraic sets, I, II, III, IV and V, as follows:
I - is the circle with equation $x^{2} + y^{2} = 9$; II - is the parabola with equation $y = -x^{2} - 1$, with $x$ varying from $-1$ to $1$; III - is the square formed by the vertices $(-2,1)$, $(-1,1)$, $(-1,2)$ and $(-2,2)$; IV - is the square formed by the vertices $(1,1)$, $(2,1)$, $(2,2)$ and $(1,2)$; V - is the point $(0,0)$.
Next, the teacher correctly represents the five sets on the same grid, composed of squares with sides measuring one unit of length each, obtaining a figure.
Which of these figures was drawn by the teacher?
(A), (B), (C), (D), (E) [as shown in the figures]

Newton's Law of Universal Gravitation establishes the intensity of the force of attraction between two masses. It is represented by the expression:
$$F = G \frac{m_{1} m_{2}}{d^{2}}$$
where $m_{1}$ and $m_{2}$ correspond to the masses of the bodies, $d$ to the distance between them, $G$ to the universal gravitational constant, and $F$ to the force that one body exerts on the other.
The diagram represents the circular trajectories of five satellites, of equal mass, orbiting the Earth.
Which graph expresses the intensities of the forces that the Earth exerts on each satellite as a function of time?
(A), (B), (C), (D), (E) [as shown in the figures]

An industry has a water reservoir with a capacity of $900 \mathrm{~m}^{3}$. When there is a need to clean the reservoir, all the water must be drained. The water drainage is done by six drains, and takes 6 hours when the reservoir is full. This industry will build a new reservoir with a capacity of $500 \mathrm{~m}^{3}$, whose water drainage should be completed in 4 hours when the reservoir is full. The drains used in the new reservoir must be identical to those in the existing one.
The number of drains in the new reservoir should be equal to
(A) 2. (B) 4. (C) 5. (D) 8. (E) 9.