The owner of a pharmacy decided to display the following graph, which shows the evolution of total sales (in Reais) of a certain medication throughout the year 2011.
According to the graph, the months in which the greatest and least absolute sales occurred in 2011 were, respectively,
(A) March and April.
(B) March and August.
(C) August and September.
(D) June and September.
(E) June and August.

Maria wants to innovate in her packaging store and decided to sell boxes with different formats. In the images presented are the unfoldings of these boxes.
What geometric solids will Maria obtain from these unfoldings?
(A) Cylinder, pentagonal prism and pyramid.
(B) Cone, pentagonal prism and pyramid.
(C) Cone, truncated pyramid and pyramid.
(D) Cylinder, truncated pyramid and prism.
(E) Cylinder, prism and truncated cone.

Playing cards is an activity that stimulates reasoning. A traditional game is Solitaire, which uses 52 cards. Initially seven columns are formed with the cards. The first column has one card, the second has two cards, the third has three cards, the fourth has four cards, and so on until the seventh column, which has seven cards, and what remains forms the stock, which are the cards not used in the columns.
The number of cards that forms the stock is
(A) 21.
(B) 24.
(C) 26.
(D) 28.
(E) 31.

The graph shows the variation in the average extent of sea ice, in millions of square kilometers, comparing data from the years 1995, 1998, 2000, 2005 and 2007. The data correspond to the months of June to September. The Arctic begins to recover ice when summer ends, in mid-September. Sea ice acts as Earth's cooling system, reflecting almost all sunlight back into space. Dark ocean waters, in turn, absorb sunlight and reinforce Arctic warming, causing increasing melting of ice.
Based on the graph and the information in the text, it is possible to infer that there was greater global warming in
(A) 1995.
(B) 1998.
(C) 2000.
(D) 2005.
(E) 2007.

In plastic arts exhibitions, it is common for statues to be displayed on rotating platforms. A safety measure is that the base of the sculpture is fully supported on the platform. To provide the appropriate equipment, in the case of a square base that will be fixed on a circular platform, the technical assistant of the event must estimate the measure $R$ of the appropriate radius for the platform in terms of the measure $L$ of the side of the statue's base.
What relationship between $R$ and $L$ should the technical assistant present so that the safety requirement is met?
(A) $\mathrm{R} \geq L/\sqrt{2}$
(B) $\mathrm{R} \geq 2L/\pi$
(C) $\mathrm{R} \geq L/\sqrt{\pi}$
(D) $\mathrm{R} \geq L/2$
(E) $\mathrm{R} \geq L/(2\sqrt{2})$

The globe of death is an attraction widely used in circuses. It consists of a kind of cage in the shape of a spherical surface made of steel, where motorcyclists ride their motorcycles inside.
In Figure 2, point A is on the ground plane where the globe of death is placed and segment AB passes through the center of the sphere and is perpendicular to the ground plane. Suppose there is a light source directed at the ground placed at point B and that a motorcyclist makes a path inside the sphere, traveling a circle that passes through points A and B.
The image of the path made by the motorcyclist on the ground plane is best represented by
(A) [figure A]
(B) [figure B]
(C) [figure C]
(D) [figure D]
(E) [figure E]

In a project for the electrical part of a residential building to be constructed, it states that outlets should be placed at $0.20\mathrm{~m}$ above the floor, while light switches should be placed at $1.47\mathrm{~m}$ above the floor. A wheelchair user, a potential buyer of an apartment in this building, upon seeing such measurements, alerts to the fact that they will not meet their needs. The reference heights (in meters) for activities that do not require the use of force are shown in the following figure.
A substitute proposal, regarding the heights of outlets and switches, respectively, that will meet that potential buyer is
(A) $0.20\mathrm{~m}$ and $1.45\mathrm{~m}$.
(B) $0.20\mathrm{~m}$ and $1.40\mathrm{~m}$.
(C) $0.25\mathrm{~m}$ and $1.35\mathrm{~m}$.
(D) $0.25\mathrm{~m}$ and $1.30\mathrm{~m}$.
(E) $0.45\mathrm{~m}$ and $1.20\mathrm{~m}$.

A survey conducted by students from the Faculty of Statistics shows, in hours per day, how young people between 12 and 18 years old spend their time, both during the week (Monday to Friday) and on weekends (Saturday and Sunday). The following table illustrates the results of the survey.

Youth Routine	During the week	On weekends
Watching television	3	3
Household activities	1	1
School activities	5	1
Leisure activities	2	4
Rest, hygiene and eating	10	12
Other activities	3	3

According to this survey, how many hours of their time does a young person between 12 and 18 years old spend in the entire week (Monday to Sunday) on school activities?
(A) 20
(B) 21
(C) 24
(D) 25
(E) 27

A certain salesman has their monthly salary calculated as follows: they earn a fixed amount of $\mathrm{R}\$ 750.00$, plus a commission of $\mathrm{R}\$ 3.00$ for each product sold. If they sell more than 100 products, their commission becomes $\mathrm{R}\$ 9.00$ for each product sold, starting from the $101^{\circ}$ product sold.
With this information, the graph that best represents the relationship between salary and the number of products sold is
(A) [graph A]
(B) [graph B]
(C) [graph C]
(D) [graph D]
(E) [graph E]

A train driver earns $\mathrm{R}\$ 100.00$ per trip and can only travel every 4 days. They only earn if they make the trip and know that they will be on vacation from June $1^{\circ}$ to 10, when they cannot travel. Their first trip took place on January first. Consider that the year has 365 days.
If the train driver wants to earn the maximum possible, how many trips will they need to make?
(A) 37
(B) 51
(C) 88
(D) 89
(E) 91

Some objects, during their manufacture, need to go through a cooling process. For this to occur, a factory uses a cooling tank, as shown in the figure.
What would happen to the water level if we placed an object in the tank whose volume was $2400\mathrm{~cm}^{3}$?
(A) The level would rise $0.2\mathrm{~cm}$, making the water $20.2\mathrm{~cm}$ high.
(B) The level would rise 1 cm, making the water 21 cm high.
(C) The level would rise 2 cm, making the water 22 cm high.
(D) The level would rise 8 cm, causing the water to overflow.
(E) The level would rise 20 cm, causing the water to overflow.

Jorge wants to install heaters in his beauty salon to improve the comfort of his clients in winter. He studies the purchase of units of two types of heaters: model A, which consumes $600\mathrm{~g}/\mathrm{h}$ (grams per hour) of propane gas and covers $35\mathrm{~m}^{2}$ of area, or model B, which consumes $750\mathrm{~g}/\mathrm{h}$ of propane gas and covers $45\mathrm{~m}^{2}$ of area. The manufacturer indicates that the heater should be installed in an environment with an area smaller than its coverage area. Jorge will install one unit per environment and wants to spend the minimum possible on gas. The area of the salon that should be climatized is found in the following plan (environments represented by three rectangles and a trapezoid).
Evaluating all the information, it will be necessary
(A) four units of type A and no units of type B.
(B) three units of type A and one unit of type B.
(C) two units of type A and two units of type B.
(D) one unit of type A and three units of type B.
(E) no units of type A and four units of type B.

To decorate the facade of a building, an architect designed the placement of stained glass windows composed of squares with side measuring 1 m, as shown in the following figure.
In this figure, points A, B, C and D are midpoints of the sides of the square and segments AP and QC measure $1/4$ of the side length of the square. To make a stained glass window, two types of materials are used: one for the shaded part of the figure, which costs $\mathrm{R}\$ 30.00$ per $\mathrm{m}^{2}$, and another for the lighter part (regions ABPDA and BCDQB), which costs $\mathrm{R}\$ 50.00$ per $\mathrm{m}^{2}$.
According to these data, what is the cost of materials used in the manufacture of a stained glass window?
(A) $\mathrm{R}\$ 22.50$
(B) $\mathrm{R}\$ 35.00$
(C) $\mathrm{R}\$ 40.00$
(D) $\mathrm{R}\$ 42.50$
(E) $\mathrm{R}\$ 45.00$

João decided to hire the services of a company by phone through the SAC (Customer Service). The attendant dictated the call protocol number to João and asked him to write it down. However, João did not understand one of the digits dictated by the attendant and wrote down the number $\underline{1}\underline{3}\,\_\,\underline{9}\underline{2}\underline{0}\underline{7}$, with the empty space being the digit that João did not understand.
According to this information, the position occupied by the missing digit in the protocol number is that of
(A) hundreds.
(B) tens of thousands.
(C) hundreds of thousands.
(D) millions.
(E) hundreds of millions.

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.

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.

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 $700 \mathrm{~m}^{2}$.