Prova1-2013.1-5-15_Gabarito

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UFRJ
Instituto de Matemática
Disciplina: Algebra Linear II - MAE 125
Professor: Bruno, Gregório, Luiz Carlos, Mario,
Milton, Monique e Umberto
Data: 15 de maio de 2013
Primeira Prova
1. Os valores de (a, b, c) de forma que o sistema linear1 2 34 5 6
7 8 9
xy
z
 =
ab
c
 tenha pelo menos uma solu-
ção satisfazem a equação:
(a) a− 2b+ c = 0
(b) a− 2b+ c 6= 0
(c) 2a− b+ c = 0
(d) a− b+ 2c = 0
2. Podemos afirmar que a solução do sistema linear
1 2 3 4
0 5 6 7
0 5 6 7
0 0 0 0


x
y
z
w
 =

0
0
0
0

(a) É um plano que passa pela origem
(b) É uma reta que passa pela origem
(c) É um plano que não passa pela origem
(d) É uma reta que não passa pela origem
3. Considere o conjunto de vetores
V =
{
(x, y) ∈ R2|y = x2} ,
com as operações de soma vetorial e multiplicação por
escalar dadas por:
(x1, y1) + (x2, y2) = (x1 + x2, (x1 + x2)
2),
k(x, y) = (kx, k2x2).
Assinale a afirmativa VERDADEIRA:
(a) V é um espaço vetorial, mas não é um su-
bespaço de R2
(b) A soma não possui elemento neutro
(c) V é um subespaço vetorial de R2
(d) A soma não é associativa
4. Seja n um número natural ímpar e seja
Pn = {p | p é polinômio de grau ≤ n} .
Assinale a afirmativa VERDADEIRA:
(a) S = {p ∈ Pn | p(1) = 0} possui sempre di-
mensão ímpar
(b) Pn possui sempre dimensão ímpar
(c) S = {p ∈ Pn | p(1) = 0 e p(2) = 0} possui sempre
dimensão ímpar
(d) S = {p ∈ Pn | p(1) = 0, p(2) = 0 e p(3) = 0} pos-
sui sempre dimensão ímpar
5. Assinale o polinômio que não pertence ao espaço
W =
〈
x3 + x2 + 2x+ 6, 2x2 + 2x+ 6, 2x2 + 3x+ 9
〉
(a) x+ 6
(b) x3 − x2
(c) x+ 3
(d) 3x2 + 4x+ 12
6. Considere os sistemas equivalentes Ax = b1 e Bx =
b2,onde [B|b2] é a matriz obtida de [A|b1] após o
escalonamento. Assinale a afirmativa FALSA:
(a) O espaço gerado pelas colunas de A é igual
ao espaço gerado pelas colunas de B
(b) O espaço gerado pelas linhas de A é igual ao
espaço gerado pelas linhas de B
(c) O conjunto solução de Ax = 0 é igual ao de
Bx = 0
(d) O conjunto solução de Ax = b1 é igual ao de
Bx = b2
7. O sistema linear representado pela matriz aumentada
−1 −1 −1 1
3 3 2 1
1 2 1 −1
4 5 3 0
 possui solução única.
A soma dos componentes do vetor solução é:
(a) −1
(b) 1
(c) 0
(d) −2
8. Considere o sistema Ax = b e sejam respectivamente
p e q os números de colunas linearmente independen-
tes (LI) de A e da matriz aumentada [A|b]. Assinale
a afirmativa VERDADEIRA:
(a) Se p < q então o sistema não tem solução
(b) Se p < q então o sistema possui infinitas soluções
(c) Se p = q então o sistema não tem solução
(d) Se p = q então o sistema tem solução única
9. Seja W um espaço vetorial de dimensão 4 e sejam
U eV subespaços de W tais que U ∩ V = 0. Assinale
a afirmativa VERDADEIRA:
(a) U e V podem ambos ter dimensão 2
(b) U e V devem ambos ter dimensão 2
(c) U e V podem ambos ter dimensão 3
(d) U e V devem ambos ter dimensão estritamente
menor que 4
Gabarito Pág. 1
10. Determine quantos vetores são linearmente indepen-
dentes (LI) no conjunto abaixo,
{[1,−2, 0,−2], [3,−7, 1,−6], [1,−1, 0,−3], [−3, 6,−1, 7]}
(a) 3
(b) 4
(c) 2
(d) 1
11. Assinale o conjunto que NÃO É um subespaço veto-
rial:
(a) O conjunto das matrizes reais 2 × 2 cujo
elemento da primeira linha e da segunda
coluna de A é igual a 1
(b) O espaço gerado pelas colunas de uma matriz
real Am×n
(c) O conjunto das matrizes 2×2 triangulares supe-
riores
(d) O conjunto das matrizesXp×1, tais queAX = 0,
onde A é uma matriz m× p dada
12. O que NÃO podemos afirmar sobre o escalonamento
de matrizes reais:
(a) Se duas matrizes A e B têm a mesma ma-
triz na forma escalonada, então necessari-
amente A = B
(b) Ao escalonar uma matriz m × n, com m > n,
sempre vamos obter pelo menos m − n linhas
nulas
(c) Na forma escalonada de uma matriz qualquer,
o número de colunas linearmente independentes
(LI) é igual ao de linhas linearmente indepen-
dentes (LI)
(d) As linhas não nulas da forma escalonada de uma
matriz formam um conjunto linearmente inde-
pendente (LI)
13. O que NÃO É verdadeiro para subespaços W de um
espaço vetorial V ?
(a) Se S = {v1, ...,vn} é uma base de V , então
S sempre conterá uma base para W
(b) Qualquer combinação linear de n vetores de W
também é um vetor de W
(c) dim(V ) ≥ dim(W )
(d) O espaço gerado por W é igual a W
14. Suponha que a matriz A6×8 e o vetor b ∈ R6 são tais
que a solução geral de Ax = b tem duas variáveis
livres. Se b 6= c ∈ R6 podemos afirmar que:
(a) A solução geral de Ax = c sempre tem
duas variáveis livres.
(b) A solução geral de Ax = c pode ter apenas uma
variável livre.
(c) Ax = c pode não ter solução.
(d) Ax = c pode ter uma única solução.
15. Considere Ax = b, onde A é m× 2, e seja Gx = c a
forma escalonada. Sejam a1 e a2 as colunas de A e g1
e g2 as colunas de G. Assinale a afirmativa FALSA:
(a) 〈a1,a2〉 = 〈g1,g2〉
(b) Se b = αa1 + βa2 então c = αg1 + βg2
(c) Se b 6∈ 〈a1,a2〉 então c 6∈ 〈g1,g2〉
(d) Se a1 = αa2 então g1 = αg2
16. Sobre as soluções de um sistema linear Ax = b, onde
A é m× n, assinale a afirmativa VERDADEIRA:
(a) São os coeficientes de uma combinação li-
near das colunas de A
(b) São vetores de Rm
(c) São os coeficientes de uma combinação linear das
linhas de A
(d) São as colunas de A
Gabarito Pág. 2
Gabarito dos 457 Testes Gerados
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Gabarito Pág. 1
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Gabarito Pág. 2
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Teste 142: 1C 2B 3B 4D 5B 6A 7C 8B 9C 10B 11A 12D 13A 14A 15C 16A
Teste 143: 1B 2B 3C 4B 5B 6B 7C 8C 9A 10B 11D 12A 13C 14D 15D 16A
Teste 144: 1A 2A 3B 4D 5B 6D 7C 8B 9C 10D 11B 12B 13A 14D 15C 16C
Teste 145: 1A 2C 3A 4D 5A 6D 7C 8B 9A 10D 11B 12B 13D 14C 15D 16C
Teste 146: 1D 2B 3A 4D 5A 6A 7B 8C 9B 10C 11A 12A 13B 14B 15A 16B
Teste 147: 1A 2B 3C 4D 5A 6D 7D 8C 9A 10C 11B 12D 13C 14A 15A 16B
Teste 148: 1C 2B 3C 4A 5D 6B 7A 8A 9A 10C 11D 12C 13D 14D 15B 16C
Teste 149: 1B 2B 3A 4B 5A 6B 7A 8B 9A 10A 11D 12D 13B 14D 15D 16D
Teste 150: 1D 2C 3A 4C 5D 6D 7B 8A 9B 10A 11B 12D 13A 14A 15B 16C
Teste 151: 1C 2C 3D 4D 5B 6A 7A 8A 9D 10B 11A 12A 13A 14D 15B 16D
Teste 152: 1A 2B 3C 4A 5C 6B 7B 8B 9C 10B 11D 12A 13A 14B 15A 16D
Teste 153: 1D 2A 3B 4B 5B 6C 7A 8A 9D 10B 11A 12C 13B 14B 15C 16C
Teste 154: 1B 2A 3D 4B 5C 6A 7B 8D 9C 10C 11C 12C 13B 14B 15D 16A
Teste 155: 1A 2B 3C 4B 5C 6A 7B 8A 9D 10A 11D 12D 13D 14B 15C 16C
Teste 156: 1B 2B 3A 4C 5B 6B 7C 8B 9C 10A 11A 12D 13C 14D 15C 16C
Teste 157: 1B 2B 3B 4D 5A 6A 7D 8C 9B 10C 11B 12C 13B 14D 15C 16D
Teste 158: 1C 2D 3A 4A 5D 6C 7C 8D 9B 10C 11C 12B 13C 14B 15D 16D
Teste 159: 1D 2A 3D 4D 5C 6A 7D 8C 9B 10A 11D 12C 13D 14C 15C 16B
Teste 160: 1B 2A 3B 4C 5A 6C 7A 8B 9B 10D 11B 12A 13D 14D 15C 16A
Teste 161: 1C 2A 3B 4D 5B 6B 7B 8B 9B 10A 11A 12C 13C 14D 15D 16C
Teste 162: 1D 2D 3D 4A 5D 6D 7A 8D 9A 10A 11C 12C 13C 14B 15B 16B
Teste 163: 1B 2B 3B 4D 5C 6A 7A 8C 9B 10A 11B 12D 13A 14D 15B 16A
Teste 164: 1D 2A3A 4D 5B 6B 7C 8D 9B 10C 11C 12D 13D 14D 15C 16B
Teste 165: 1A 2C 3C 4C 5B 6B 7D 8B 9B 10D 11A 12D 13D 14D 15C 16B
Teste 166: 1C 2B 3B 4C 5D 6C 7C 8D 9C 10A 11D 12C 13B 14A 15B 16A
Teste 167: 1B 2C 3B 4A 5D 6A 7A 8A 9C 10A 11A 12C 13B 14B 15D 16B
Teste 168: 1C 2C 3D 4C 5A 6D 7B 8D 9C 10C 11D 12D 13A 14C 15B 16A
Teste 169: 1C 2D 3C 4D 5B 6C 7A 8C 9A 10D 11B 12B 13A 14B 15D 16D
Teste 170: 1A 2A 3A 4D 5A 6C 7D 8B 9D 10D 11A 12D 13D 14A 15D 16B
Teste 171: 1A 2A 3B 4C 5A 6D 7D 8D 9D 10C 11D 12D 13B 14B 15A 16C
Teste 172: 1D 2D 3C 4B 5D 6C 7B 8D 9C 10C 11B 12C 13D 14C 15D 16C
Teste 173: 1C 2B 3A 4C 5B 6B 7A 8D 9A 10D 11C 12D 13D 14C 15D 16D
Teste 174: 1C 2C 3C 4C 5B 6D 7D 8A 9D 10D 11A 12C 13A 14C 15A 16B
Gabarito Pág. 3
Teste 175: 1B 2A 3A 4A 5D 6B 7D 8D 9C 10D 11D 12C 13A 14C 15C 16A
Teste 176: 1C 2C 3A 4D 5D 6A 7B 8A 9A 10B 11A 12A 13C 14B 15C 16D
Teste 177: 1C 2A 3B 4B 5D 6D 7B 8C 9B 10C 11D 12D 13C 14A 15D 16C
Teste 178: 1C 2C 3B 4C 5C 6A 7C 8D 9B 10C 11D 12A 13A 14D 15A 16D
Teste 179: 1B 2D 3B 4D 5D 6D 7D 8A 9C 10B 11C 12A 13A 14B 15A 16D
Teste 180: 1A 2B 3A 4D 5B 6B 7B 8D 9C 10A 11D 12A 13B 14B 15C 16D
Teste 181: 1B 2D 3D 4D 5D 6A 7A 8D 9B 10B 11D 12B 13C 14A 15C 16B
Teste 182: 1B 2B 3C 4A 5D 6D 7D 8C 9D 10A 11D 12A 13C 14A 15A 16A
Teste 183: 1B 2A 3A 4D 5A 6B 7A 8A 9C 10D 11A 12D 13D 14D 15C 16C
Teste 184: 1C 2B 3B 4D 5A 6A 7B 8C 9B 10B 11B 12A 13C 14D 15A 16C
Teste 185: 1B 2B 3A 4A 5A 6B 7B 8C 9D 10C 11D 12D 13A 14C 15A 16B
Teste 186: 1C 2D 3D 4D 5B 6B 7B 8B 9C 10D 11A 12D 13B 14C 15C 16C
Teste 187: 1B 2D 3D 4B 5B 6D 7C 8A 9B 10C 11D 12C 13D 14C 15B 16B
Teste 188: 1D 2D 3A 4A 5B 6B 7A 8C 9C 10A 11B 12D 13B 14B 15D 16C
Teste 189: 1A 2D 3D 4D 5B 6C 7B 8B 9D 10C 11C 12A 13D 14C 15C 16C
Teste 190: 1C 2D 3B 4C 5C 6D 7B 8C 9B 10A 11A 12D 13B 14D 15A 16A
Teste 191: 1D 2A 3C 4A 5A 6D 7A 8A 9B 10D 11C 12A 13D 14D 15D 16C
Teste 192: 1A 2D 3A 4C 5C 6D 7D 8A 9A 10D 11B 12C 13B 14D 15D 16B
Teste 193: 1C 2D 3B 4D 5D 6A 7D 8A 9C 10B 11B 12D 13C 14C 15C 16D
Teste 194: 1B 2B 3A 4B 5D 6A 7D 8A 9C 10C 11B 12B 13A 14C 15B 16A
Teste 195: 1A 2C 3C 4D 5D 6D 7C 8A 9C 10B 11C 12D 13A 14D 15C 16A
Teste 196: 1C 2A 3B 4D 5A 6C 7D 8C 9A 10B 11C 12B 13C 14B 15A 16D
Teste 197: 1C 2C 3B 4A 5A 6D 7B 8D 9B 10C 11A 12A 13C 14A 15A 16D
Teste 198: 1A 2B 3B 4B 5B 6B 7B 8A 9C 10C 11C 12D 13A 14C 15C 16A
Teste 199: 1D 2A 3B 4A 5B 6D 7C 8A 9C 10A 11D 12A 13A 14B 15D 16C
Teste 200: 1B 2B 3D 4D 5A 6A 7A 8B 9D 10D 11B 12A 13A 14D 15B 16A
Teste 201: 1A 2B 3A 4D 5C 6C 7A 8D 9B 10C 11B 12D 13B 14C 15C 16D
Teste 202: 1B 2C 3B 4C 5A 6A 7C 8B 9C 10B 11A 12C 13C 14D 15B 16A
Teste 203: 1A 2A 3D 4B 5D 6B 7C 8A 9C 10C 11C 12A 13D 14A 15D 16B
Teste 204: 1A 2B 3D 4B 5B 6C 7D 8B 9A 10B 11A 12B 13A 14D 15C 16A
Teste 205: 1B 2B 3B 4D 5B 6D 7C 8D 9A 10A 11B 12C 13B 14D 15C 16A
Teste 206: 1A 2A 3B 4D 5A 6A 7A 8A 9C 10D 11C 12D 13D 14D 15B 16C
Teste 207: 1C 2A 3B 4A 5B 6B 7D 8A 9B 10B 11B 12C 13C 14D 15C 16C
Teste 208: 1B 2D 3D 4C 5D 6D 7D 8B 9A 10A 11A 12A 13A 14D 15B 16A
Teste 209: 1C 2C 3C 4D 5B 6D 7B 8B 9B 10B 11D 12D 13C 14A 15C 16D
Teste 210: 1A 2D 3A 4C 5A 6D 7C 8B 9D 10D 11B 12D 13A 14A 15D 16C
Teste 211: 1D 2B 3B 4B 5C 6A 7D 8A 9D 10D 11B 12D 13A 14C 15D 16A
Teste 212: 1D 2D 3C 4C 5D 6A 7C 8D 9D 10A 11D 12C 13B 14C 15A 16C
Teste 213: 1C 2D 3B 4D 5A 6D 7D 8D 9B 10D 11A 12A 13B 14A 15B 16C
Teste 214: 1B 2A 3A 4A 5B 6B 7A 8D 9D 10D 11A 12C 13D 14A 15C 16D
Teste 215: 1C 2B 3D 4A 5D 6B 7D 8D 9C 10D 11B 12D 13A 14B 15C 16A
Teste 216: 1C 2B 3C 4C 5A 6C 7A 8B 9C 10A 11A 12B 13C 14D 15B 16B
Teste 217: 1D 2D 3A 4A 5A 6D 7B 8A 9A 10C 11D 12D 13A 14C 15D 16B
Teste 218: 1A 2A 3B 4C 5B 6A 7B 8C 9C 10A 11C 12A 13A 14D 15D 16C
Teste 219: 1C 2C 3C 4B 5C 6D 7D 8D 9C 10D 11A 12C 13D 14B 15A 16D
Teste 220: 1B 2A 3A 4D 5C 6A 7C 8D 9B 10B 11A 12A 13D 14C 15C 16C
Teste 221: 1A 2C 3A 4A 5B 6C 7B 8C 9D 10D 11D 12C 13D 14C 15C 16A
Teste 222: 1B 2D 3B 4B 5C 6A 7B 8B 9C 10D 11A 12C 13C 14B 15A 16D
Teste 223: 1A 2D 3D 4B 5A 6D 7C 8B 9B 10C 11A 12A 13A 14A 15B 16B
Teste 224: 1A 2B 3C 4D 5C 6C 7B 8C 9D 10D 11A 12C 13A 14D 15C 16B
Teste 225: 1C 2C 3A 4D 5A 6A 7B 8B 9D 10D 11A 12A 13A 14B 15D 16C
Teste 226: 1C 2C 3B 4D 5C 6C 7D 8B 9B 10D 11A 12C 13C 14B 15D 16A
Teste 227: 1A 2B 3D 4A 5B 6C 7C 8B 9C 10B 11A 12C 13B 14A 15C 16B
Teste 228: 1C 2A 3C 4A 5D 6B 7C 8D 9B 10B 11C 12B 13C 14C 15B 16A
Teste 229: 1B 2C 3A 4A 5A 6A 7A 8D 9D 10C 11D 12C 13A 14B 15C 16C
Teste 230: 1A 2C 3A 4A 5B 6C 7D 8B 9D 10B 11A 12C 13C 14D 15A 16A
Teste 231: 1D 2B 3A 4C 5A 6C 7D 8A 9A 10D 11D 12C 13A 14C 15C 16D
Teste 232: 1B 2C 3D 4C 5A 6C 7B 8D 9C 10C 11D 12A 13B 14C 15A 16D
Teste 233: 1B 2B 3C 4D 5A 6B 7D 8B 9D 10A 11B 12D 13D 14D 15B 16C
Gabarito Pág. 4
Teste 234: 1A 2B 3D 4C 5B 6D 7A 8C 9A 10D 11D 12B 13A 14C 15B 16B
Teste 235: 1D 2B 3B 4C 5D 6B 7C 8A 9B 10A 11B 12D 13D 14B 15C 16C
Teste 236: 1B 2D 3D 4D 5B 6A 7C 8D 9C 10C 11D 12A 13D 14B 15A 16A
Teste 237: 1B 2C 3A 4B 5C 6A 7B 8D 9B 10C 11C 12D 13D 14B 15D 16C
Teste 238: 1D 2B 3D 4B 5B 6A 7D 8C 9C 10A 11A 12A 13D 14D 15B 16D
Teste 239: 1C 2B 3C 4B 5C 6B 7B 8C 9C 10C 11B 12D 13B 14D 15A 16D
Teste 240: 1C 2D 3D 4C 5D 6B 7B 8B 9D 10A 11C 12A 13B 14C 15B 16C
Teste 241: 1A 2C 3A 4D 5C 6C 7C 8B 9B 10C 11B 12A 13A 14A 15D 16A
Teste 242: 1A 2C 3D 4C 5B 6A 7B 8D 9A 10C 11A 12C 13A 14B 15D 16A
Teste 243: 1D 2C 3B 4C 5D 6C 7B 8D 9A 10A 11A 12B 13B 14C 15A 16B
Teste 244: 1A 2A 3B 4A 5D 6D 7C 8C 9A 10A 11B 12C 13D 14A 15C 16C
Teste 245: 1D 2A 3A 4A 5C 6C 7B 8B 9C 10D 11D 12B 13B 14A 15B 16A
Teste 246: 1A 2A 3D 4D 5C 6C 7A 8A 9B 10C 11B 12C 13D 14D 15D 16C
Teste 247: 1C 2C 3C 4A 5B 6B 7B 8C 9A 10C 11B 12C 13A 14B 15B 16A
Teste 248: 1C 2B 3D 4C 5B 6B 7D 8C 9D 10D 11B 12A 13B 14C 15B 16A
Teste 249: 1B 2B 3C 4A 5A 6D 7D 8B 9C 10D 11A 12A 13B 14B 15C 16A
Teste 250: 1D 2D 3A 4A 5A 6A 7B 8B 9A 10B 11D 12A 13C 14D 15C 16C
Teste 251: 1B 2A 3D 4A 5B 6B 7B 8A 9B 10D 11A 12B 13A 14C 15A 16D
Teste 252: 1D 2A 3A 4C 5C 6A 7D 8D 9D 10B 11D 12C 13C 14A 15B 16C
Teste 253: 1B 2D 3B 4B 5B 6C 7A 8C 9B 10A 11A 12D 13D 14D 15B 16C
Teste 254: 1D 2A 3C 4B 5B 6A 7B 8D 9A 10D 11A 12C 13D 14A 15B 16B
Teste 255: 1D 2B 3D 4C 5C 6C 7C 8B 9C 10A 11B 12C 13A 14B 15B 16A
Teste 256: 1C 2B 3B 4A 5C 6D 7C 8D 9A 10A 11C 12A 13D 14C 15B 16C
Teste 257: 1A 2D 3C 4D 5B 6D 7B 8D 9D 10A 11D 12A 13B 14A 15A 16C
Teste 258: 1D 2D 3B 4B 5B 6A 7B 8C 9B 10D 11B 12D 13C 14D 15D 16A
Teste 259: 1C 2D 3B 4D 5D 6C 7B 8D 9C 10B 11D 12C 13A 14A 15C 16D
Teste 260: 1A 2B 3C 4C 5D 6C 7A 8D 9B 10A 11D 12C 13B 14A 15C 16C
Teste 261: 1C 2A 3D 4A 5C 6B 7C 8D 9A 10A 11C 12B 13B 14A 15B 16A
Teste 262: 1C 2B 3B 4D 5C 6A 7D 8B 9B 10D 11B 12D 13D 14B 15A 16D
Teste 263: 1B 2B 3B 4A 5A 6B 7C 8B 9C 10B 11A 12D 13A 14C 15D 16C
Teste 264: 1A 2A 3C 4B 5B 6C 7B 8A 9A 10B 11A 12C 13D 14D 15D 16B
Teste 265: 1B 2A 3C 4A 5D 6D 7B 8C 9D 10A 11A 12C 13A 14D 15C 16D
Teste 266: 1C 2A 3C 4C 5C 6D 7C 8D 9D 10A 11B 12A 13A 14A 15A 16D
Teste 267: 1D 2B 3B 4D 5A 6B 7D 8B 9C 10D 11B 12C 13A 14D 15A 16D
Teste 268: 1B 2C 3C 4C 5C 6D 7C 8B 9C 10A 11D 12D 13A 14B 15A 16D
Teste 269: 1B 2D 3D 4B 5C 6C 7B 8B 9C 10A 11B 12B 13D 14A 15C 16D
Teste 270: 1C 2C 3C 4B 5C 6A 7C 8D 9A 10C 11B 12B 13A 14A 15D 16B
Teste 271: 1C 2A 3D 4C 5B 6A 7B 8C 9D 10B 11B 12D 13A 14C 15A 16D
Teste 272: 1C 2D 3C 4D 5C 6B 7B 8B 9B 10B 11A 12A 13B 14A 15A 16C
Teste 273: 1A 2B 3C 4C 5D 6A 7C 8C 9C 10D 11B 12D 13D 14D 15C 16B
Teste 274: 1C 2D 3D 4B 5D 6D 7B 8D 9C 10A 11B 12C 13A 14C 15A 16D
Teste 275: 1D 2A 3C 4B 5B 6B 7B 8D 9B 10B 11A 12A 13A 14D 15A 16D
Teste 276: 1B 2D 3D 4A 5A 6B 7C 8C 9C 10A 11A 12D 13C 14B 15D 16A
Teste 277: 1C 2D 3D 4D 5C 6A 7C 8D 9D 10C 11B 12C 13C 14A 15B 16B
Teste 278: 1C 2C 3B 4A 5D 6C 7A 8A 9A 10D 11D 12D 13A 14D 15B 16C
Teste 279: 1A 2D 3C 4A 5B 6C 7C 8B 9B 10B 11C 12B 13D 14A 15B 16D
Teste 280: 1D 2B 3A 4A 5D 6C 7B 8D 9C 10A 11D 12C 13C 14C 15C 16D
Teste 281: 1D 2D 3D 4B 5D 6B 7B 8B 9C 10A 11A 12A 13B 14D 15C 16A
Teste 282: 1D 2C 3A 4A 5D 6C 7D 8A 9D 10A 11D 12C 13C 14C 15A 16C
Teste 283: 1A 2D 3A 4D 5B 6A 7B 8A 9A 10A 11C 12B 13D 14C 15C 16C
Teste 284: 1D 2D 3D 4B 5B 6A 7B 8B 9C 10D 11B 12B 13C 14D 15C 16D
Teste 285: 1C 2B 3A 4A 5A 6A 7D 8A 9A10B 11B 12D 13D 14C 15B 16D
Teste 286: 1B 2A 3D 4B 5B 6D 7B 8A 9A 10C 11C 12A 13B 14A 15A 16B
Teste 287: 1D 2A 3B 4C 5C 6C 7A 8A 9B 10A 11A 12C 13B 14D 15B 16D
Teste 288: 1C 2C 3A 4C 5B 6D 7D 8C 9D 10C 11C 12B 13A 14D 15D 16B
Teste 289: 1A 2D 3B 4A 5A 6C 7D 8A 9D 10C 11A 12B 13C 14C 15C 16A
Teste 290: 1A 2B 3C 4D 5B 6B 7A 8A 9C 10D 11B 12B 13C 14B 15A 16D
Teste 291: 1B 2D 3A 4D 5B 6A 7A 8B 9D 10A 11A 12B 13B 14C 15D 16C
Teste 292: 1D 2C 3A 4B 5D 6D 7D 8C 9B 10C 11C 12A 13D 14D 15A 16B
Gabarito Pág. 5
Teste 293: 1D 2B 3D 4C 5B 6D 7B 8D 9A 10C 11C 12C 13B 14C 15A 16B
Teste 294: 1D 2D 3C 4D 5C 6D 7B 8A 9C 10D 11C 12D 13C 14A 15A 16C
Teste 295: 1C 2D 3C 4A 5C 6B 7A 8C 9C 10A 11D 12A 13B 14D 15B 16B
Teste 296: 1A 2A 3A 4D 5C 6B 7B 8D 9D 10A 11A 12C 13A 14C 15B 16D
Teste 297: 1D 2A 3A 4A 5A 6C 7B 8C 9D 10D 11B 12C 13B 14D 15B 16C
Teste 298: 1A 2C 3B 4B 5D 6B 7C 8B 9C 10A 11A 12A 13C 14B 15A 16C
Teste 299: 1A 2B 3A 4B 5A 6C 7A 8D 9C 10B 11C 12B 13A 14B 15B 16C
Teste 300: 1D 2B 3B 4A 5D 6A 7D 8D 9D 10B 11A 12D 13B 14C 15A 16B
Teste 301: 1D 2D 3D 4C 5B 6A 7D 8D 9C 10C 11C 12D 13B 14C 15C 16B
Teste 302: 1B 2C 3C 4A 5B 6B 7A 8B 9D 10B 11B 12A 13A 14A 15D 16A
Teste 303: 1B 2B 3D 4A 5C 6C 7D 8C 9B 10A 11B 12A 13B 14D 15B 16D
Teste 304: 1C 2C 3A 4B 5B 6A 7D 8D 9C 10A 11B 12B 13A 14A 15B 16A
Teste 305: 1C 2D 3B 4A 5A 6D 7C 8B 9D 10D 11C 12C 13B 14C 15A 16A
Teste 306: 1C 2A 3A 4B 5D 6C 7B 8A 9A 10B 11C 12C 13A 14B 15B 16D
Teste 307: 1A 2C 3D 4B 5C 6A 7A 8A 9B 10B 11D 12D 13C 14C 15B 16D
Teste 308: 1A 2D 3A 4D 5C 6B 7D 8A 9C 10A 11D 12A 13B 14D 15A 16C
Teste 309: 1B 2A 3C 4C 5B 6D 7B 8A 9A 10A 11A 12B 13B 14B 15D 16C
Teste 310: 1D 2A 3B 4A 5C 6A 7B 8D 9D 10A 11C 12D 13B 14D 15D 16B
Teste 311: 1D 2B 3C 4C 5D 6B 7A 8B 9A 10C 11D 12A 13C 14B 15B 16D
Teste 312: 1C 2A 3A 4A 5C 6B 7C 8B 9A 10C 11D 12B 13D 14D 15D 16D
Teste 313: 1D 2A 3C 4A 5D 6D 7B 8A 9A 10B 11A 12D 13D 14D 15C 16C
Teste 314: 1A 2C 3A 4A 5A 6D 7B 8D 9C 10B 11A 12C 13D 14B 15B 16C
Teste 315: 1C 2C 3C 4A 5A 6A 7D 8D 9B 10C 11C 12C 13A 14A 15B 16D
Teste 316: 1D 2B 3C 4C 5B 6C 7C 8C 9A 10A 11B 12B 13D 14B 15B 16A
Teste 317: 1C 2C 3C 4A 5A 6A 7A 8D 9D 10A 11D 12A 13C 14D 15D 16B
Teste 318: 1D 2B 3B 4B 5D 6B 7C 8A 9C 10D 11A 12D 13C 14D 15D 16C
Teste 319: 1A 2A 3C 4B 5C 6D 7C 8A 9C 10C 11D 12C 13D 14B 15B 16B
Teste 320: 1A 2D 3B 4D 5B 6A 7B 8D 9A 10A 11D 12B 13B 14C 15D 16C
Teste 321: 1C 2C 3B 4D 5A 6A 7C 8B 9B 10D 11A 12B 13A 14B 15B 16A
Teste 322: 1B 2C 3C 4B 5A 6A 7D 8D 9A 10A 11C 12A 13A 14D 15C 16B
Teste 323: 1A 2A 3C 4C 5B 6B 7C 8D 9C 10D 11B 12C 13A 14D 15C 16B
Teste 324: 1C 2B 3B 4D 5C 6D 7C 8C 9D 10D 11A 12A 13B 14B 15B 16C
Teste 325: 1C 2A 3A 4B 5D 6C 7B 8C 9D 10C 11B 12D 13B 14D 15D 16B
Teste 326: 1B 2D 3D 4A 5B 6C 7C 8A 9B 10B 11B 12C 13D 14C 15A 16B
Teste 327: 1D 2A 3C 4B 5A 6B 7C 8A 9A 10A 11C 12B 13C 14C 15D 16B
Teste 328: 1A 2C 3A 4D 5A 6B 7C 8A 9D 10A 11D 12C 13B 14D 15C 16B
Teste 329: 1C 2D 3B 4A 5B 6C 7B 8B 9A 10C 11D 12D 13A 14B 15C 16A
Teste 330: 1C 2A 3B 4A 5D 6B 7B 8B 9D 10B 11C 12C 13C 14D 15C 16D
Teste 331: 1B 2D 3C 4A 5D 6D 7A 8A 9D 10A 11D 12C 13A 14C 15B 16B
Teste 332: 1A 2A 3B 4A 5C 6B 7B 8D 9A 10B 11B 12C 13A 14B 15C 16A
Teste 333: 1A 2B 3B 4D 5A 6C 7A 8B 9A 10D 11C 12D 13A 14B 15C 16D
Teste 334: 1C 2C 3B 4C 5B 6C 7D 8C 9A 10D 11D 12A 13B 14A 15B 16A
Teste 335: 1B 2B 3A 4D 5B 6C 7D 8B 9B 10A 11B 12C 13C 14D 15D 16C
Teste 336: 1C 2B 3A 4A 5B 6A 7B 8C 9D 10D 11A 12A 13A 14D 15B 16C
Teste 337: 1A 2D 3A 4B 5D 6B 7D 8A 9C 10C 11A 12D 13D 14C 15A 16B
Teste 338: 1D 2D 3D 4D 5B 6B 7A 8C 9A 10D 11A 12A 13B 14B 15B 16C
Teste 339: 1A 2B 3C 4C 5A 6A 7C 8A 9D 10C 11C 12B 13C 14B 15B 16A
Teste 340: 1B 2B 3A 4C 5C 6B 7D 8B 9B 10D 11C 12B 13D 14A 15A 16A
Teste 341: 1A 2A 3B 4A 5A 6D 7B 8C 9B 10A 11B 12C 13C 14D 15C 16B
Teste 342: 1B 2D 3D 4B 5D 6A 7D 8D 9B 10D 11A 12C 13B 14A 15A 16A
Teste 343: 1B 2C 3C 4D 5A 6C 7D 8D 9C 10C 11B 12B 13D 14A 15B 16A
Teste 344: 1B 2B 3C 4C 5D 6A 7D 8A 9A 10B 11B 12C 13B 14C 15D 16D
Teste 345: 1C 2A 3A 4D 5B 6A 7A 8C 9B 10D 11C 12B 13A 14A 15B 16C
Teste 346: 1C 2D 3B 4C 5A 6A 7B 8C 9D 10C 11A 12C 13C 14D 15A 16B
Teste 347: 1A 2B 3D 4C 5A 6D 7C 8D 9D 10A 11B 12C 13B 14C 15D 16B
Teste 348: 1B 2A 3D 4D 5A 6C 7A 8D 9C 10A 11D 12C 13D 14D 15C 16C
Teste 349: 1A 2A 3C 4D 5D 6A 7B 8A 9D 10A 11C 12A 13B 14D 15C 16C
Teste 350: 1B 2D 3C 4D 5B 6D 7C 8B 9A 10D 11D 12A 13D 14A 15A 16B
Teste 351: 1D 2C 3A 4B 5D 6C 7C 8B 9A 10A 11A 12B 13B 14C 15B 16A
Gabarito Pág. 6
Teste 352: 1C 2B 3C 4A 5A 6B 7B 8B 9D 10D 11B 12B 13C 14C 15C 16A
Teste 353: 1A 2B 3D 4A 5C 6D 7D 8D 9B 10D 11C 12D 13C 14C 15B 16C
Teste 354: 1A 2D 3D 4B 5B 6D 7D 8D 9C 10C 11C 12B 13B 14D 15C 16A
Teste 355: 1A 2A 3D 4C 5C 6D 7D 8C 9B 10C 11A 12A 13A 14A 15D 16B
Teste 356: 1D 2A 3C 4D 5D 6C 7D 8C 9D 10D 11C 12C 13A 14C 15A 16A
Teste 357: 1C 2B 3B 4D 5D 6B 7D 8B 9C 10D 11B 12A 13B 14C 15A 16C
Teste 358: 1D 2C 3A 4A 5B 6D 7A 8C 9B 10B 11A 12A 13C 14A 15B 16C
Teste 359: 1C 2C 3C 4A 5A 6D 7A 8B 9B 10B 11C 12C 13A 14C 15A 16D
Teste 360: 1A 2C 3D 4A 5B 6C 7A 8C 9C 10A 11A 12A 13D 14C 15C 16B
Teste 361: 1D 2D 3A 4B 5C 6B 7B 8A 9A 10A 11B 12B 13C 14C 15B 16D
Teste 362: 1C 2D 3A 4C 5B 6B 7B 8A 9A 10B 11C 12C 13B 14D 15B 16D
Teste 363: 1B 2A 3C 4A 5C 6C 7D 8D 9B 10A 11C 12B 13B 14C 15B 16A
Teste 364: 1B 2A 3B 4C 5A 6D 7C 8A 9C 10D 11B 12B 13D 14C 15B 16B
Teste 365: 1B 2C 3A 4A 5B 6C 7D 8D 9A 10A 11D 12D 13A 14A 15D 16C
Teste 366: 1D 2B 3D 4C 5A 6C 7D 8D 9D 10D 11B 12A 13B 14B 15B 16C
Teste 367: 1B 2D 3A 4A 5B 6D 7A 8D 9B 10A 11A 12D 13B 14D 15A 16D
Teste 368: 1D 2A 3D 4C 5A 6A 7B 8B 9C 10D 11C 12B 13D 14B 15D 16A
Teste 369: 1B 2B 3C 4A 5C 6B 7C 8C 9A 10A 11C 12B 13D 14D 15C 16A
Teste 370: 1A 2B 3A 4A 5C 6B 7B 8C 9B 10A 11A 12D 13D 14A 15B 16B
Teste 371: 1D 2B 3B 4B 5D 6B 7C 8A 9D 10C 11C 12A 13B 14D 15B 16D
Teste 372: 1A 2C 3B 4B 5C 6C 7C 8B 9B 10D 11A 12B 13A 14A 15C 16A
Teste 373: 1C 2A 3A 4B 5D 6D 7B 8B 9B 10A 11D 12A 13D 14A 15C 16D
Teste 374: 1C 2B 3C 4A 5D 6D 7D 8A 9C 10A 11A 12A 13B 14B 15A 16D
Teste 375: 1A 2B 3A 4B 5A 6A 7D 8C 9C 10A 11C 12B 13A 14D 15C 16D
Teste 376: 1A 2B 3D 4C 5D 6C 7B 8B 9D 10D 11D 12D 13A 14B 15A 16C
Teste 377: 1C 2B 3B 4D 5A 6A 7B 8A 9D 10C 11C 12B 13A 14A 15C 16A
Teste 378: 1B 2B 3B 4A 5A 6A 7A 8B 9C 10D 11A 12B 13D 14B 15C 16C
Teste 379: 1B 2D 3A 4B 5C 6D 7D 8C 9C 10C 11B 12C 13A 14A 15A 16C
Teste 380: 1C 2B 3A 4C 5B 6D 7B 8D 9B 10A 11D 12A 13D 14A 15D 16A
Teste 381: 1B 2C 3C 4B 5C 6A 7C 8B 9C 10D 11C 12B 13B 14B 15D 16D
Teste 382: 1C 2D 3C 4C 5C 6B 7C 8C 9D 10D 11A 12B 13D 14B 15A 16D
Teste 383: 1A 2B 3C 4A 5D 6D 7B 8A 9C 10A 11C 12A 13A 14C 15B 16C
Teste 384: 1C 2C 3A 4B 5D 6D 7B 8D 9A 10A 11A 12A 13D 14A 15C 16C
Teste 385: 1C 2D 3B 4B 5B 6A 7B 8B 9C 10A 11C 12D 13D 14A 15B 16A
Teste 386: 1B 2B 3D 4D 5D 6D 7B 8D 9C 10D 11B 12A 13A 14B 15C 16A
Teste 387: 1C 2C 3A 4C 5A 6C 7A 8B 9D 10B 11A 12D 13A 14A 15C 16C
Teste 388: 1C 2D 3C 4C 5B 6B 7B 8B 9D 10B 11A 12A 13C 14C 15A 16B
Teste 389: 1D 2A 3A 4A 5A 6A 7B 8A 9B 10C 11C 12C 13C 14D 15D 16B
Teste 390: 1D 2C 3B 4C 5B 6A 7B 8C 9A 10C 11D 12B 13A 14B 15D 16D
Teste 391: 1B 2B 3A 4D 5C 6C 7C 8C 9D 10B 11D 12B 13D 14D 15A 16A
Teste 392: 1C 2C 3D 4A 5C 6C 7D 8C 9C 10B 11D 12A 13A 14D 15A 16D
Teste 393: 1A 2D 3D 4C 5D 6D 7D 8B 9B 10B 11D 12B 13A 14A 15B 16B
Teste 394: 1C 2A 3D 4C 5C 6C 7D 8A 9A 10B 11D 12B 13D 14C 15B 16D
Teste 395: 1D 2D 3A 4A 5A 6D 7A 8D 9B 10A 11A 12B 13C 14C 15D 16D
Teste 396: 1D 2A 3D 4A 5D 6D 7A 8B 9C 10A 11C 12B 13D 14A 15D 16A
Teste 397: 1A 2B 3A 4D 5D 6B 7D 8C 9A 10C 11C 12D 13A 14B 15C 16C
Teste 398: 1A 2B 3A 4B 5C 6A 7D 8C 9A 10B 11C 12C 13D 14A 15C 16B
Teste 399: 1B 2C 3B 4A 5C 6A 7C 8D 9C 10C 11D 12B 13D 14A 15C 16C
Teste 400: 1C 2B 3D 4A 5B 6B 7D 8D 9D 10D 11D 12C 13C 14B 15B 16B
Teste 401: 1C 2C 3D 4B 5B 6C 7D 8A 9C 10C 11B 12A 13A 14C 15D 16A
Teste 402: 1D 2A 3C 4A 5A 6A 7B 8A 9A 10D 11D 12D 13D 14C 15B 16C
Teste 403: 1B 2B 3A 4D 5A 6B 7B 8A 9D 10B 11B 12C 13A 14D 15D 16A
Teste 404: 1C 2B 3C 4D 5C 6B 7D 8D 9A 10C 11D 12D 13B 14C 15D 16A
Teste 405: 1C 2C 3B 4C 5A 6A 7B 8A 9D 10D 11C 12C 13B 14D 15A 16C
Teste 406: 1A 2C 3C 4A 5B 6B 7D 8C 9C 10C 11C 12D 13B 14B 15C16A
Teste 407: 1B 2B 3A 4B 5A 6A 7D 8D 9B 10D 11A 12A 13D 14A 15C 16D
Teste 408: 1A 2A 3C 4A 5A 6C 7D 8A 9A 10B 11D 12B 13B 14B 15D 16C
Teste 409: 1A 2C 3B 4D 5D 6C 7D 8D 9D 10C 11D 12A 13B 14B 15B 16A
Teste 410: 1B 2C 3A 4A 5D 6B 7D 8B 9D 10A 11B 12B 13B 14A 15C 16C
Gabarito Pág. 7
Teste 411: 1C 2D 3B 4B 5B 6B 7B 8D 9D 10A 11A 12B 13D 14C 15D 16A
Teste 412: 1A 2B 3A 4C 5B 6A 7D 8D 9C 10A 11D 12C 13A 14B 15B 16B
Teste 413: 1A 2D 3B 4A 5D 6C 7C 8D 9A 10D 11A 12A 13B 14B 15B 16C
Teste 414: 1A 2D 3D 4D 5C 6D 7B 8B 9C 10B 11A 12D 13B 14B 15A 16C
Teste 415: 1B 2B 3C 4B 5B 6B 7C 8B 9D 10A 11D 12C 13A 14A 15A 16A
Teste 416: 1B 2B 3D 4D 5C 6D 7A 8A 9B 10B 11B 12C 13C 14A 15B 16D
Teste 417: 1B 2A 3A 4C 5A 6D 7B 8D 9B 10B 11D 12D 13C 14A 15A 16D
Teste 418: 1D 2D 3A 4C 5C 6B 7D 8A 9C 10D 11C 12B 13C 14D 15C 16B
Teste 419: 1C 2A 3B 4A 5A 6B 7D 8A 9B 10A 11A 12C 13B 14B 15B 16D
Teste 420: 1D 2C 3A 4D 5C 6B 7D 8D 9D 10B 11C 12C 13A 14A 15C 16A
Teste 421: 1B 2D 3B 4B 5C 6A 7B 8C 9C 10B 11C 12C 13B 14A 15D 16D
Teste 422: 1C 2C 3A 4C 5A 6A 7D 8A 9B 10D 11B 12A 13B 14C 15C 16A
Teste 423: 1B 2D 3D 4D 5B 6D 7B 8D 9C 10B 11B 12A 13D 14C 15C 16C
Teste 424: 1D 2D 3D 4D 5A 6D 7C 8B 9C 10A 11D 12B 13A 14C 15B 16B
Teste 425: 1A 2A 3C 4C 5D 6B 7B 8B 9C 10B 11B 12D 13D 14C 15A 16B
Teste 426: 1B 2C 3A 4B 5A 6D 7C 8D 9D 10A 11B 12D 13D 14D 15A 16C
Teste 427: 1B 2D 3B 4A 5A 6C 7B 8C 9A 10D 11B 12D 13B 14D 15C 16B
Teste 428: 1C 2B 3B 4A 5B 6D 7C 8A 9D 10B 11D 12B 13A 14D 15B 16C
Teste 429: 1A 2B 3D 4D 5D 6B 7C 8A 9A 10C 11D 12C 13D 14C 15A 16D
Teste 430: 1C 2D 3C 4D 5C 6D 7B 8C 9D 10C 11C 12D 13D 14A 15B 16A
Teste 431: 1D 2C 3B 4D 5B 6D 7A 8D 9D 10A 11A 12B 13D 14A 15B 16A
Teste 432: 1A 2A 3B 4C 5C 6C 7C 8D 9A 10C 11A 12A 13A 14D 15B 16D
Teste 433: 1A 2B 3A 4C 5D 6A 7D 8B 9D 10C 11B 12B 13B 14B 15A 16A
Teste 434: 1C 2B 3A 4C 5D 6A 7C 8C 9A 10A 11A 12C 13D 14B 15D 16B
Teste 435: 1C 2C 3B 4A 5A 6D 7A 8C 9C 10A 11B 12B 13C 14D 15B 16B
Teste 436: 1A 2D 3C 4A 5C 6C 7D 8A 9C 10C 11D 12B 13D 14A 15C 16B
Teste 437: 1A 2B 3A 4C 5A 6B 7C 8A 9D 10C 11C 12D 13A 14C 15D 16D
Teste 438: 1D 2B 3B 4D 5A 6A 7B 8A 9D 10A 11D 12A 13B 14D 15A 16D
Teste 439: 1C 2D 3C 4B 5B 6B 7B 8B 9C 10A 11D 12B 13D 14A 15D 16A
Teste 440: 1A 2A 3C 4D 5D 6B 7C 8C 9C 10B 11B 12D 13D 14B 15B 16A
Teste 441: 1B 2B 3C 4B 5D 6D 7C 8A 9D 10C 11A 12A 13C 14B 15B 16A
Teste 442: 1C 2B 3C 4A 5A 6A 7B 8A 9B 10D 11B 12C 13D 14D 15B 16D
Teste 443: 1C 2D 3C 4D 5C 6B 7C 8B 9A 10B 11B 12D 13A 14C 15B 16C
Teste 444: 1C 2A 3A 4C 5D 6B 7A 8D 9C 10C 11D 12B 13C 14A 15A 16C
Teste 445: 1B 2A 3A 4A 5A 6D 7B 8A 9D 10A 11D 12B 13B 14C 15B 16D
Teste 446: 1D 2A 3D 4D 5C 6B 7A 8A 9B 10D 11C 12C 13A 14A 15C 16D
Teste 447: 1D 2D 3B 4A 5A 6D 7C 8A 9D 10D 11D 12A 13A 14C 15A 16D
Teste 448: 1A 2B 3C 4C 5A 6A 7D 8D 9D 10B 11C 12C 13A 14D 15C 16A
Teste 449: 1B 2B 3B 4C 5A 6A 7A 8C 9C 10A 11A 12B 13D 14D 15C 16B
Teste 450: 1C 2A 3D 4C 5C 6D 7C 8D 9D 10A 11A 12D 13C 14D 15C 16A
Teste 451: 1C 2A 3D 4A 5C 6D 7A 8A 9B 10D 11A 12B 13D 14D 15B 16D
Teste 452: 1A 2B 3C 4A 5B 6C 7A 8D 9A 10A 11C 12B 13C 14B 15A 16D
Teste 453: 1A 2C 3C 4B 5A 6B 7D 8A 9B 10C 11A 12A 13A 14D 15C 16D
Teste 454: 1D 2A 3B 4C 5B 6D 7B 8C 9A 10B 11C 12B 13A 14C 15C 16A
Teste 455: 1B 2D 3A 4D 5B 6B 7C 8A 9C 10D 11D 12A 13D 14D 15C 16B
Teste 456: 1C 2A 3C 4A 5B 6C 7D 8C 9C 10C 11D 12B 13A 14D 15A 16B
Teste 457: 1A 2C 3D 4A 5A 6B 7D 8A 9C 10C 11D 12B 13B 14A 15A 16D
Gabarito Pág. 8