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

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

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.

A formica factory produces square plates with sides measuring $y$ centimetres. These plates are sold in boxes with $N$ units and, on the box, the maximum area $S$ that can be covered by the $N$ plates is specified.
Due to market demand for larger plates, the factory tripled the measurement of the sides of its plates and managed to gather them in a new box, in such a way that the covered area $S$ was not altered.
The quantity $X$, of plates of the new model, in each new box will be equal to:
(A) $\frac{N}{9}$ (B) $\frac{N}{6}$ (C) $\frac{N}{3}$ (D) $3N$ (E) $9N$

In a water park there is a children's pool in the shape of a right circular cylinder, 1 m deep and with a volume equal to $12 \mathrm{~m}^{3}$, whose base has radius $\mathbf{R}$ and centre $\mathbf{O}$. It is desired to build a dry leisure island inside this pool, also in the shape of a right circular cylinder, whose base will be at the bottom of the pool and with the centre of the base coinciding with the centre of the bottom of the pool, as shown in the figure. The radius of the leisure island will be $r$. It is desired that after the construction of this island, the space intended for water in the pool has a volume of at least $4 \mathrm{~m}^{3}$.
Consider 3 as an approximate value for $\pi$.
To satisfy the given conditions, the maximum radius of the leisure island $\mathbf{r}$, in metres, will be closest to
(A) 1.6. (B) 1.7. (C) 2.0. (D) 3.0. (E) 3.8.

The taxpayer who sells more than $\mathrm{R}\$ 20$ thousand of shares on the Stock Exchange in a month must pay Income Tax. Payment to the Federal Revenue Service will consist of 15\% of the profit obtained from the sale of shares.
A taxpayer who sells for $\mathrm{R}\$ 34$ thousand a batch of shares that cost $\mathrm{R}\$ 26$ thousand will have to pay Income Tax to the Federal Revenue Service in the amount of
(A) $\mathrm{R}\$ 900{,}00$. (B) $\mathrm{R}\$ 1\,200{,}00$. (C) $\mathrm{R}\$ 2\,100{,}00$. (D) $\mathrm{R}\$ 3\,900{,}00$. (E) $\mathrm{R}\$ 5\,100{,}00$.

To build a screed, it is common, in the composition of concrete, to use cement, sand and gravel in the following proportion: 1 part cement, 4 parts sand and 2 parts gravel. To build the screed for a garage, a construction company ordered a concrete mixer truck with $14 \mathrm{~m}^{3}$ of concrete.
What is the volume of cement, in $\mathrm{m}^{3}$, in the load of concrete brought by the mixer?
(A) 1.75 (B) 2.00 (C) 2.33 (D) 4.00 (E) 8.00

It is desired to mail non-commercial letters, being two of 100 g, three of 200 g and one of 350 g. The graph shows the cost to send a non-commercial letter by the Postal Service.
The total amount spent, in reais, to mail these letters is
(A) 8.35. (B) 12.50. (C) 14.40. (D) 15.35. (E) 18.05.

To increase sales at the beginning of the year, a department store remarked the prices of its products 20\% below the original price. When they reach the checkout, customers who have the store's loyalty card are entitled to an additional discount of 10\% on the total value of their purchases.
A customer wishes to buy a product that cost $\mathrm{R}\$ 50{,}00$ before the price remarking. He does not have the store's loyalty card.
If this customer had the store's loyalty card, the additional savings he would obtain when making the purchase, in reais, would be
(A) 15.00. (B) 14.00. (C) 10.00. (D) 5.00. (E) 4.00.

An image editing program makes it possible to transform figures into more complex ones. It is desired to construct a new figure from the original. The new figure must present symmetry with respect to point $O$.
The image that represents the new figure is:
(A), (B), (C), (D), (E) [as shown in the figures]

Ceramics constitute an artefact quite present in the history of humanity. One of its various properties is shrinkage (contraction), which consists of the evaporation of water existing in a ceramic set or block when subjected to a certain elevated temperature. This elevation of temperature, which occurs during the firing process, causes a reduction of up to 20\% in the linear dimensions of a piece.
Suppose that a piece, when moulded in clay, had a rectangular base whose sides measured 30 cm and 15 cm. After firing, these sides were reduced by 20\%.
In relation to the original area, the area of the base of this piece, after firing, was reduced by
(A) $4\%$. (B) $20\%$. (C) $36\%$. (D) $64\%$. (E) $96\%$.

In the United States the unit of volume measurement most used in soft drink cans is the fluid ounce (fl oz), which is equivalent to approximately 2.95 centiliters (cL).
It is known that the centiliter is one hundredth of a liter and that the soft drink can usually sold in Brazil has a capacity of 355 mL.
Thus, the volume measurement of the 355 mL soft drink can, in fluid ounces (fl oz), is closest to
(A) 0.83. (B) 1.20. (C) 12.03. (D) 104.73. (E) 120.34.

The figure presents two maps, in which the state of Rio de Janeiro is seen at different scales.
There is interest in estimating the number of times the area corresponding to this state was enlarged in the Brazil map.
This number is
(A) less than 10. (B) greater than 10 and less than 20. (C) greater than 20 and less than 30. (D) greater than 30 and less than 40. (E) greater than 40.

A baker, specialist in making cakes, uses a mold in the format represented in the figure.
In it one can identify the representation of two three-dimensional geometric figures.
These figures are
(A) a truncated cone and a cylinder. (B) a cone and a cylinder. (C) a truncated pyramid and a cylinder. (D) two truncated cones. (E) two cylinders.

The crossing of the quantity of hours studied with performance in the International Student Assessment Program (Pisa) shows that more time in school is not a guarantee of above-average grades.
Among countries with grades below the average in this exam, the one that presents the greatest quantity of study hours is
(A) Finland. (B) Netherlands. (C) Israel. (D) Mexico. (E) Russia.

A restaurant uses, to serve beverages, trays with square bases. All glasses in this restaurant have the format represented in the figure.
Consider that $\overline{AC} = \frac{7}{5}\overline{BD}$ and that $l$ is the measure of one of the sides of the base of the tray.
What should be the smallest value of the ratio $\frac{l}{d}$ for a tray to have the capacity to carry exactly four glasses at once?
(A) 2 (B) $\frac{14}{5}$ (C) 4 (D) $\frac{24}{5}$ (E) $\frac{28}{5}$

The owner of a property intends to place a support rod to better secure two posts of equal lengths of 6 m and 4 m. The figure represents the real situation in which the posts are described by segments $AC$ and $BD$ and the rod is represented by segment $EF$, all perpendicular to the ground, which is indicated by the line segment $AB$. The segments $AD$ and $BC$ represent steel cables that will be installed.
What should be the value of the length of the rod $EF$?
(A) 1 m (B) 2 m (C) $2.4 \text{ m}$ (D) 3 m (E) $2\sqrt{6} \text{ m}$

A seesaw is a toy that consists of a long and narrow board balanced and fixed at its central point (pivot). In this toy, two people sit at the ends and, alternately, push themselves upward, causing the opposite end to descend, thus performing the seesaw movement.
Consider the seesaw represented in the figure, in which points $A$ and $B$ are equidistant from the pivot.
The orthogonal projection of the trajectory of points $A$ and $B$, on the plane of the seesaw ground, when it is in motion, is:
(A), (B), (C), (D), (E) [as shown in the figures]