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Q136 Solving quadratics and applications Geometric or real-world application leading to a quadratic equation View

QUESTION 136
A person, when buying a property, paid $20\%$ of the total value as a down payment and financed the rest in 48 equal monthly installments of R\$ 1,500.00. The total value of the property is
(A) R\$ 72,000.00
(B) R\$ 86,400.00
(C) R\$ 90,000.00
(D) R\$ 96,000.00
(E) R\$ 100,000.00

Q137 Solving quadratics and applications Geometric or real-world application leading to a quadratic equation View

QUESTION 137
A company has 60 employees. Of these, $\frac{1}{3}$ work in the administrative sector, $\frac{1}{4}$ work in the production sector, and the rest work in the commercial sector. The number of employees in the commercial sector is
(A) 15
(B) 20
(C) 25
(D) 30
(E) 35

Q138 Data representation View

QUESTION 138
A survey was conducted with 200 people about their preference for a type of music. The results are shown in the table below:

Type of music	Number of people
Rock	80
Pop	60
Samba	40
Other	20

The percentage of people who prefer Rock is
(A) $20\%$
(B) $30\%$
(C) $40\%$
(D) $50\%$
(E) $60\%$

Q139 Straight Lines & Coordinate Geometry Area Computation in Coordinate Geometry View

QUESTION 139
A rectangular piece of land has dimensions 30 m by 20 m. The owner wants to build a fence around the entire perimeter of the land. If the fence costs R\$ 15.00 per meter, the total cost of the fence will be
(A) R\$ 900.00
(B) R\$ 1,200.00
(C) R\$ 1,500.00
(D) R\$ 1,800.00
(E) R\$ 2,100.00

Q140 Data representation View

QUESTION 140
The graph below shows the evolution of the price of a product over 5 months.
[Figure]
Based on the graph, the percentage increase in the price of the product from the first to the fifth month is
(A) $20\%$
(B) $25\%$
(C) $40\%$
(D) $50\%$
(E) $60\%$

Q141 Indefinite & Definite Integrals Definite Integral Evaluation (Computational) View

QUESTION 141
A cylindrical tank has a base radius of 2 m and a height of 5 m. The volume of this tank, in cubic meters, is
(A) $10\pi$
(B) $15\pi$
(C) $20\pi$
(D) $25\pi$
(E) $30\pi$

Q142 Measures of Location and Spread View

QUESTION 142
A student scored the following grades in four tests: 6.0, 7.5, 8.0, and 4.5. The arithmetic mean of the student's grades is
(A) 6.0
(B) 6.5
(C) 7.0
(D) 7.5
(E) 8.0

Q143 Constant acceleration (SUVAT) Real-world SUVAT application problem View

QUESTION 143
A car travels at a constant speed of 90 km/h. The time, in hours, for this car to travel 270 km is
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Q144 Straight Lines & Coordinate Geometry Geometric Figure on Coordinate Plane View

QUESTION 144
The sum of the interior angles of a hexagon is
(A) $540^\circ$
(B) $600^\circ$
(C) $660^\circ$
(D) $720^\circ$
(E) $780^\circ$

Q145 Solving quadratics and applications Geometric or real-world application leading to a quadratic equation View

QUESTION 145
A store offers a $15\%$ discount on a product that costs R\$ 200.00. The price of the product after the discount is
(A) R\$ 160.00
(B) R\$ 165.00
(C) R\$ 170.00
(D) R\$ 175.00
(E) R\$ 180.00

Q146 Solving quadratics and applications Finding roots or coefficients of a quadratic using Vieta's relations View

QUESTION 146
The function $f(x) = 2x^2 - 3x + 1$ has roots
(A) $x = 1$ and $x = \frac{1}{2}$
(B) $x = -1$ and $x = \frac{1}{2}$
(C) $x = 1$ and $x = -\frac{1}{2}$
(D) $x = -1$ and $x = -\frac{1}{2}$
(E) $x = 2$ and $x = \frac{1}{2}$

Q147 Geometric Sequences and Series Derive General Term from Geometric Property View

QUESTION 147
In a geometric progression, the first term is 2 and the common ratio is 3. The fifth term of this progression is
(A) 54
(B) 81
(C) 162
(D) 243
(E) 486

Q148 Inequalities Solve Polynomial/Rational Inequality for Solution Set View

QUESTION 148
The solution set of the inequality $2x - 5 > 3$ is
(A) $x > 1$
(B) $x > 2$
(C) $x > 3$
(D) $x > 4$
(E) $x > 5$

Q149 Laws of Logarithms Simplify or Evaluate a Logarithmic Expression View

QUESTION 149
The value of $\log_2 32$ is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Q150 Straight Lines & Coordinate Geometry Triangle Properties and Special Points View

QUESTION 150
In a right triangle, one leg measures 6 cm and the hypotenuse measures 10 cm. The other leg measures
(A) 4 cm
(B) 6 cm
(C) 7 cm
(D) 8 cm
(E) 9 cm

Q151 Probability Definitions Finite Equally-Likely Probability Computation View

QUESTION 151
A bag contains 5 red balls, 3 blue balls, and 2 green balls. The probability of randomly drawing a blue ball is
(A) $\frac{1}{5}$
(B) $\frac{3}{10}$
(C) $\frac{2}{5}$
(D) $\frac{1}{2}$
(E) $\frac{3}{5}$

Q152 Combinations & Selection Geometric Combinatorics View

QUESTION 152
The number of diagonals of a polygon with 8 sides is
(A) 16
(B) 18
(C) 20
(D) 22
(E) 24

Q153 Trig Graphs & Exact Values View

QUESTION 153
The value of $\sin 30^\circ + \cos 60^\circ$ is
(A) $\frac{1}{2}$
(B) $\frac{\sqrt{2}}{2}$
(C) 1
(D) $\frac{\sqrt{3}}{2}$
(E) $\sqrt{2}$

Q154 Straight Lines & Coordinate Geometry Line Equation and Parametric Representation View

QUESTION 154
The equation of a line passing through the points $(1, 2)$ and $(3, 6)$ is
(A) $y = x + 1$
(B) $y = 2x$
(C) $y = 2x + 1$
(D) $y = 3x - 1$
(E) $y = x + 3$

Q155 Circles Area and Geometric Measurement Involving Circles View

QUESTION 155
The area of a circle with radius 5 cm is
(A) $10\pi$ cm$^2$
(B) $15\pi$ cm$^2$
(C) $20\pi$ cm$^2$
(D) $25\pi$ cm$^2$
(E) $30\pi$ cm$^2$

Q156 Matrices Determinant and Rank Computation View

QUESTION 156
The matrix $A = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix}$ has determinant
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Q157 Permutations & Arrangements Linear Arrangement with Constraints View

QUESTION 157
The number of ways to arrange 4 people in a row is
(A) 12
(B) 16
(C) 20
(D) 24
(E) 28

Q158 Straight Lines & Coordinate Geometry Point-to-Line Distance Computation View

QUESTION 158
The distance between the points $A(1, 2)$ and $B(4, 6)$ is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Q159 Indefinite & Definite Integrals Definite Integral Evaluation (Computational) View

QUESTION 159
The value of $\int_0^2 (3x^2 + 2x)\, dx$ is
(A) 8
(B) 10
(C) 12
(D) 14
(E) 16

Q160 Arithmetic Sequences and Series Compute Partial Sum of an Arithmetic Sequence View

QUESTION 160
The sum of the first 10 terms of an arithmetic progression with first term 2 and common difference 3 is
(A) 145
(B) 155
(C) 165
(D) 175
(E) 185

Q161 Exponential Functions Algebraic Simplification and Expression Manipulation View

QUESTION 161
The value of $e^0 + \ln 1$ is
(A) 0
(B) 1
(C) 2
(D) $e$
(E) $e + 1$

Q162 Straight Lines & Coordinate Geometry Area Computation in Coordinate Geometry View

QUESTION 162
The lateral surface area of a cone with base radius 3 cm and slant height 5 cm is
(A) $10\pi$ cm$^2$
(B) $12\pi$ cm$^2$
(C) $15\pi$ cm$^2$
(D) $18\pi$ cm$^2$
(E) $20\pi$ cm$^2$

Q163 Simultaneous equations View

QUESTION 163
The solution of the system $$\begin{cases} x + y = 5 \\ 2x - y = 1 \end{cases}$$ is
(A) $x = 1, y = 4$
(B) $x = 2, y = 3$
(C) $x = 3, y = 2$
(D) $x = 4, y = 1$
(E) $x = 5, y = 0$

Q164 Applied differentiation MCQ on derivative and graph interpretation View

QUESTION 164
The derivative of $f(x) = x^3 - 4x^2 + 5x - 2$ is
(A) $f'(x) = 3x^2 - 8x + 5$
(B) $f'(x) = 3x^2 - 4x + 5$
(C) $f'(x) = 3x^2 + 8x + 5$
(D) $f'(x) = x^2 - 8x + 5$
(E) $f'(x) = 3x^2 - 8x - 5$

Q165 Combinations & Selection Basic Combination Computation View

QUESTION 165
The number of combinations of 6 elements taken 2 at a time is
(A) 12
(B) 15
(C) 18
(D) 21
(E) 24

Q166 Trig Graphs & Exact Values View

QUESTION 166
The value of $\tan 45^\circ + \cos 0^\circ$ is
(A) 1
(B) 2
(C) $\sqrt{2}$
(D) $1 + \sqrt{2}$
(E) $2\sqrt{2}$

Q168 Solving quadratics and applications Finding roots or coefficients of a quadratic using Vieta's relations View

QUESTION 168
The equation $x^2 - 5x + 6 = 0$ has roots
(A) $x = 1$ and $x = 6$
(B) $x = 2$ and $x = 3$
(C) $x = -2$ and $x = -3$
(D) $x = 1$ and $x = -6$
(E) $x = -1$ and $x = 6$

Q169 Measures of Location and Spread View

QUESTION 169
The median of the data set $\{3, 7, 5, 9, 1, 6, 4\}$ is
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8

Q170 Indices and Surds Evaluating Expressions Using Index Laws View

QUESTION 170
The value of $2^{10}$ is
(A) 512
(B) 1024
(C) 2048
(D) 4096
(E) 8192

Q172 Combinations & Selection Basic Combination Computation View

QUESTION 172
The value of $\binom{5}{2}$ is
(A) 5
(B) 8
(C) 10
(D) 12
(E) 15

Q173 Exponential Functions MCQ on Function Properties View

QUESTION 173
The function $f(x) = 3^x$ passes through the point
(A) $(0, 0)$
(B) $(0, 1)$
(C) $(1, 0)$
(D) $(1, 3)$
(E) $(3, 1)$

Q175 Indices and Surds Simplifying Surd Expressions View

QUESTION 175
The value of $\sqrt{144} + \sqrt{25}$ is
(A) 13
(B) 15
(C) 17
(D) 19
(E) 21

Q176 Number Theory Prime Number Properties and Identification View

QUESTION 176
The number of prime numbers between 10 and 30 is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Q178 Permutations & Arrangements Factorial and Combinatorial Expression Simplification View

QUESTION 178
The value of $5! - 3!$ is
(A) 108
(B) 112
(C) 114
(D) 116
(E) 120

Q179 Straight Lines & Coordinate Geometry Section Ratio and Division of Segments View

QUESTION 179
The midpoint of the segment with endpoints $A(2, 4)$ and $B(6, 8)$ is
(A) $(3, 5)$
(B) $(4, 6)$
(C) $(5, 7)$
(D) $(6, 8)$
(E) $(8, 12)$

Q180 Trig Proofs Trigonometric Identity Simplification View

QUESTION 180
The value of $\cos^2 30^\circ + \sin^2 30^\circ$ is
(A) $\frac{1}{2}$
(B) $\frac{\sqrt{3}}{2}$
(C) 1
(D) $\sqrt{3}$
(E) 2

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2015 enem__day2