question: The cyclic subgroup of Z_24 generated by 18 has order Answer Choice: (A) 4 (B) 8 (C) 12 (D) 6

answer: The answer is (A). #### A


question: Find the order of the factor group Z_6/<3>. Answer Choice: (A) 2 (B) 3 (C) 6 (D) 12

answer: The answer is (B). #### B


question: Statement 1 | A permutation that is a product of m even permutations and n odd permutations is an even permutation if and only if n is even. Statement 2 | Every group is isomorphic to a group of permutations. Answer Choice: (A) True, True (B) False, False (C) True, False (D) False, True

answer: The answer is (A). #### A


question: Find the order of the factor group (Z_4 x Z_12)/(<2> x <2>) Answer Choice: (A) 2 (B) 3 (C) 4 (D) 12

answer: The answer is (C). #### C


question: Find the maximum possible order for some element of Z_4 x Z_6. Answer Choice: (A) 4 (B) 6 (C) 12 (D) 24

answer: The answer is (C). #### C


question: Statement 1 | The symmetric group S_3 is cyclic. Statement 2 | Every group is isomorphic to some group of permutations. Answer Choice: (A) True, True (B) False, False (C) True, False (D) False, True

answer: The answer is (D). #### D


question: Statement 1 | If a and b are elements of finite order in an Abelian group, then |ab| is the lcm (|a|,|b|). Statement 2 | If g is a group element and g^n = e, then |g| = n. Answer Choice: (A) True, True (B) False, False (C) True, False (D) False, True

answer: The answer is (B). #### B


question: Statement 1 | If f is a homomorphism from G to K and H is normal in G then f(H) is normal in K. Statement 2 | If f is a homomorphism from G to a group and H is finite subgroup of G, then |f(H)| divides |H|. Answer Choice: (A) True, True (B) False, False (C) True, False (D) False, True

answer: The answer is (D). #### D


question: Find the maximum possible order for an element of S_n for n = 7. Answer Choice: (A) 6 (B) 12 (C) 30 (D) 105

answer: The answer is (B). #### B


question: Statement 1 | Every integral domain has a field of quotients. Statement 2 | A polynomial of degree n over a ring can have at most n zeros counting multiplicity. Answer Choice: (A) True, True (B) False, False (C) True, False (D) False, True

answer: The answer is (C). #### C


question: Statement 1 | If a group has an element of order 10, then the number of elements of order 10 is divisible by 4. Statement 2 | If m and n are positive integers and phi is the Euler phi function, then phi(mn) = phi(m)phi(n). Answer Choice: (A) True, True (B) False, False (C) True, False (D) False, True

answer: The answer is (B). #### B


question: If a polynomial f(x) over the real numbers has the complex numbers 2 + i and 1 - i as roots, then f(x) could be Answer Choice: (A) x^3 + 5x^2 + 4x + 1 (B) x^4 - 6x^3 + 15x^2 - 18x + 10 (C) x^3 - x^2 + 4x + 1 (D) x^4 + 7x^2 + 10

answer: The answer is (B). #### B


question: What is the volume of the solid in xyz-space bounded by the surfaces y = x^2, y = 2 - x^2, z = 0, and z = y + 3? Answer Choice: (A) 8/3 (B) 16/3 (C) 32/3 (D) 104/105

answer: The answer is (C). #### C


question: Suppose A, B, and C are statements such that C is true if exactly one of A and B is true. If C is false, which of the following statements must be true? Answer Choice: (A) If A is true, then B is false. (B) If A is false, then B is false. (C) If A is false, then B is true. (D) Both A and B are true.

answer: The answer is (B). #### B


question:
In a survey of 100 undergraduate math majors at a certain college, the following information is
obtained about the courses they are taking during the Spring semester:
41 are enrolled in real analysis,
44 are enrolled in differential equations, 48 are enrolled in linear algebra,
11 are enrolled in both real analysis and linear algebra,
14 are enrolled in both real analysis and differential equations,
19 are enrolled in both differential equations and linear algebra, and 10 are not enrolled in any of these three courses.
How many of the students surveyed are enrolled in all three of these courses? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4

answer: The answer is (A). #### A


question: k digits are to be chosen at random (with repetitions allowed) from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. What is the probability that 0 will not be chosen? Answer Choice: (A) (9/10)^k (B) (1/10)^k (C) (k-1)/k (D) 1/10

answer: The answer is (A). #### A


question: In the complex z-plane, the set of points satisfying the equation z^2 = |z|^2 is a Answer Choice: (A) pair of points (B) circle (C) half-line (D) line

answer: The answer is (D). #### D


question: Let S, T, and U be nonempty sets, and let f: S -> T and g: T -> U be functions such that the function g ∘ f : S -> U is one-to-one (injective). Which of the following must be true? Answer Choice: (A) f is one-to-one. (B) f is onto. (C) g is one-to-one. (D) g is onto.

answer: The answer is (A). #### A


question: A fair die is tossed 360 times. The probability that a six comes up on 70 or more of the tosses is Answer Choice: (A) greater than 0.50 (B) between 0.16 and 0.50 (C) between 0.02 and 0.16 (D) between 0.01 and 0.02

answer: The answer is (C). #### C


question: For what value of b is the line y = 10x tangent to the curve y = e^(bx) at some point in the xy-plane? Answer Choice: (A) 10/e (B) 10 (C) 10e (D) e^10

answer: The answer is (A). #### A


question: If the finite group G contains a subgroup of order five but no element of G other than the identity is its own inverse, then the order of G could be Answer Choice: (A) 8 (B) 20 (C) 30 (D) 35

answer: The answer is (D). #### D


question: If one arch of the curve y = sin x is revolved around the x-axis, what's the volume of the generated solid? Answer Choice: (A) π^2 / 4 (B) π^2 / 2 (C) 2π (D) π^2

answer: The answer is (B). #### B


question: Colton and his dad bought a gallon of paint that cost $13. They also bought 2 brushes that cost $9 each. What was the total cost, not including tax, of the brushes and the paint they bought? Answer Choice: (A) $22  (B) $24  (C) $31  (D) $35

answer: The answer is (C). #### C


question: Solve for y. y – 2 + 3y = 10 Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5

answer: The answer is (B). #### B


question: Solve 3 over 2 * w = 66. Answer Choice: (A) 33 (B) 44 (C) 88 (D) 99

answer: The answer is (B). #### B


question: Wendy wants to take a survey to determine which flavor of ice cream is the most popular at her school. Which of the following methods is the best way for her to choose a random sample of the students at her school? Answer Choice: (A) selecting ten students from each homeroom (B) selecting members of the girls’ softball team (C) selecting members of the boys’ basketball team (D) selecting students who like her favorite flavor of ice cream

answer: The answer is (A). #### A


question: Write 5.875 as a mixed number or fraction in simplest form. Answer Choice: (A) 5 and 8 over 9 (B) 5 and 7 over 8 (C) 7 over 8 (D) 5 and 87 over 105

answer: The answer is (B). #### B


question: Solve the equation 124 = m + 34. Answer Choice: (A) 158 (B) 90 (C) 88 (D) 4,216

answer: The answer is (B). #### B


question: Zelma buys p pounds of bananas for 40 cents per pound. She pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty-dollar bill to determine the amount of change to give Zelma. Which expression represents the amount of change Zelma should receive? Answer Choice: (A) p - 20 (B) 20 - 40p (C) 20 - 0.40p (D) 0.40p - 20

answer: The answer is (C). #### C


question: Celia has a large container in which four different kinds of coins are thoroughly mixed. She wants to take a sample of her coins to estimate which kind of coin she has the most. Which of the following methods is the best way for her to select a sample? Answer Choice: (A) taking one coin from the container (B) taking coins until she has one of every kind (C) taking ten coins of each type from the container (D) taking thirty coins out of the container without looking

answer: The answer is (D). #### D


question: In which situation can the expression 64 + 8 be used? Answer Choice: (A) There are 8 buses with 64 students on each bus. (B) Ms. Vance has 8 pens and 64 pencils in a container. (C) There are 64 books in a bookcase and 8 booksare removed. (D) Mr. Juarez has 64 cups and puts an equal numberon each of 8 tables.

answer: The answer is (D). #### D


question: Which expression is equivalent to (5 + 2) x 8? Answer Choice: (A) (8 x 5) + (8 x 2) (B) (5 x 8) + (5x 2) (C) 8 x (5x2) (D) (5x8)x2

answer: The answer is (A). #### A


question: The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored? Answer Choice: (A) 17 (B) 35 (C) 52 (D) 70

answer: The answer is (B). #### B


question: Which method can be used to solve 11 x 13? Answer Choice: (A) Multiply 11 x 10 and 10 x 3, then add the two products. (B) Multiply 11 x 10 and 11 x 3, then add the two products. (C) Multiply 11 x 100 and 10 x 3, then add the two products. (D) Multiply 11 x 100 and 11 x 3, then add the two products.

answer: The answer is (B). #### B


question: Wendy bought 30 packs of gum. Each pack had 5 pieces. She multiplied 30 × 5 to find the number of pieces of gum she bought. How many pieces of gum did Wendy buy? Answer Choice: (A) 15 (B) 35 (C) 150 (D) 305

answer: The answer is (C). #### C


question: Jan scored 3 more points in the basketball game than Salah. Cindy scored 22 points, which was twice as many points as Jan. How many points did Salah score? Answer Choice: (A) 8 (B) 11 (C) 14 (D) 19

answer: The answer is (A). #### A


question: The ticket prices to a play are $5.00 for teachers and $3.00 for students. How much will it cost for a group of 71 students and 5 teachers to see the play? Answer Choice: (A) $228.00  (B) $238.00  (C) $370.00  (D) $380.00

answer: The answer is (B). #### B


question: Use the equation below to answer the question. 0.75 × 6.5 = m Which expression shows one way to solve the equation? Answer Choice: (A) 75 × 65 ÷ 1,000 (B) 75 × 650 ÷ 1,000 (C) 0.7 × 6 + 0.7 × 5 + 0.5 × 6 + 0.5 × 5 (D) 0.7 × 6 + 0.7 × 0.5 + 0.5 × 6 + 0.5 × 0.5

answer: The answer is (A). #### A


question: Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1. How many tablespoons of salt does Debnil have? Answer Choice: (A) 18-Jan (B) 2-Jan (C) 2 (D) 18

answer: The answer is (C). #### C


question: A scientist measured the diameters of four human hairs. The diameters, in millimeters, were 0.091, 0.169, 0.17, and 0.023. Which inequality correctly compares the diameters of two of the human hairs? Answer Choice: (A) 0.17 > 0.023 (B) 0.091 < 0.023 (C) 0.169 > 0.17 (D) 0.17 < 0.091

answer: The answer is (A). #### A


question: There are 7 days in a week. In the month of February, there are 28 days this year. How many times as many days are there in February than are in one week? Answer Choice: (A) 4 times (B) 7 times (C) 21 times (D) 35 times

answer: The answer is (A). #### A


question: Solve −2k = −34.8. Answer Choice: (A) −69.6 (B) −17.4 (C) 17.4 (D) 69.6

answer: The answer is (D). #### D


question: Frankie’s baseball team scored 16 runs in a game. Max’s baseball team scored 8 runs in a game. Which statement about the number of runs scored by Frankie’s and Max’s baseball teams is true? Answer Choice: (A) Frankie’s team scored 2 times as many runs as Max’s team because 16 = 2 × 8. (B) Frankie’s team scored 2 times as many runs as Max’s team because 8 = 2 × 16. (C) Max’s team scored 2 times as many runs as Frankie’s team because 16 = 2 × 8. (D) Max’s team scored 2 times as many runs as Frankie’s team because 8 = 2 × 16.

answer: The answer is (A). #### A


question: Mr. Carson drove 1,027 miles in April. He drove 988 miles in May. Mr. Carson used the expression below to find how many more miles he drove in April than in May. 1,027 – 988 How many more miles did Mr. Carson drive in April than in May? Answer Choice: (A) 39 miles (B) 139 miles (C) 161 miles (D) 1,961 miles

answer: The answer is (A). #### A


question: Collin spent 7 hours volunteering last month. Vanessa spent 21 hours volunteering last month. Which equation correctly shows how many times more hours Vanessa spent volunteering last month than Collin? Answer Choice: (A) 7 × 3 = 21 (B) 7 × 14 = 21 (C) 21 × 3 = 63 (D) 21 × 7 = 147

answer: The answer is (A). #### A


question: George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is more than $14, which inequality represents the dollar amount, p, George can spend on glue? Answer Choice: (A) p<9 (B) p>9 (C) p<37 (D) p>37

answer: The answer is (A). #### A


question: What is the square of 15? Answer Choice: (A) 15 (B) 15-Jan (C) 225 (D) 256

answer: The answer is (C). #### C


question: Which expression is equivalent to 4 x 9? Answer Choice: (A) (4x 4) + (4x5) (B) (4+4) x (4+5) (C) (4+4)+(4+5) (D) (4x 4) x (4x5)

answer: The answer is (A). #### A


question: Carmen saved 592 pennies. Her sister saved 128 pennies. Together, they put 250 pennies in wrappers and took them to the bank. Whatis the total number of pennies, rounded to the nearest hundred, Carmen and her sister have left? Answer Choice: (A) 300 (B) 500 (C) 700 (D) 1,000

answer: The answer is (B). #### B


question: The expression –105 + (–14) + 34 simplifies to which of the following? Answer Choice: (A) –57 (B) –75 (C) –85 (D) 143

answer: The answer is (C). #### C


question: Solve the equation 29 = x − 17. Answer Choice: (A) 12 (B) −12 (C) −46 (D) 46

answer: The answer is (D). #### D


question: What is the greatest common divisor of 54, 36, and 24? Answer Choice: (A) 2 (B) 3 (C) 6 (D) 9

answer: The answer is (C). #### C


question: If 50% of a number is 20, what is 75% of the number? Answer Choice: (A) 8 (B) 15 (C) 30 (D) 45

answer: The answer is (C). #### C


question: A librarian receives two boxes of booksfor the library. The first box has 136 books. The second box has 58 fewer books than the first box. What is the total number of books the librarian receives? Answer Choice: (A) 58 (B) 78 (C) 194 (D) 214

answer: The answer is (D). #### D


question: Use rounding to estimate the product of 8.2 • 6.43 to the nearest whole number. Answer Choice: (A) 48 (B) 56 (C) 62 (D) 24

answer: The answer is (B). #### B


question: Residents of a small city voted on whether to allow a developer to build a shopping center. The number of votes in favor of the shopping center was 4,400. The number of votes against the shopping center was 17,600. What percent of the voters were in favor of building the shopping center? Answer Choice: (A) 20% (B) 25% (C) 40% (D) 44%

answer: The answer is (A). #### A


question: Which situation can be solved using the expression 21 / 3? Answer Choice: (A) finding the number of shirts when there are 3 groups of 21 shirts (B) finding the number of dresses when 21 more dresses are placed on a rack with 3 dresses (C) finding the number of jackets left over when 3 out of 21 jackets are sold (D) finding the number of skirts on each rack when a total of 21 skirts are placed equally on 3 racks

answer: The answer is (D). #### D


question: Dr. Sperline is ordering a chemical for his students to use in an experiment. He knows that each student will need to use 0.797 grams of magnesium in the first step of the experiment and 0.892 grams in a later step. He uses front-end estimation with an adjustment to figure out the approximate amount of magnesium needed by each student. What is his estimate? Answer Choice: (A) 1.4 g (B) 1.7 g (C) 1.6 g (D) 1.5 g

answer: The answer is (B). #### B


question: What is the value of |3 + 5| – |-4|? Answer Choice: (A) 12 (B) -4 (C) 4 (D) 12

answer: The answer is (C). #### C


question: Dawn needs to fix windows in her house. She must buy 3 feet of wood, which costs $7 per foot. She also needs to buy 4 pieces of glass. Each piece of glass costs $23. What will be the total cost for fixing the windows? Answer Choice: (A) $30  (B) $90  (C) $113  (D) $176

answer: The answer is (C). #### C


question: All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday. 24% of the students purchased their lunch. 190 students brought their lunch from home. How many students are in the sixth grade? Answer Choice: (A) 76 (B) 166 (C) 214 (D) 250

answer: The answer is (D). #### D


question: What is the rule for the pattern? 41, 38, 35, 32, 29,... Answer Choice: (A) divide by 3 (B) divide by 4 (C) subtract 3 (D) subtract 4

answer: The answer is (C). #### C


question: What is x if 3 x = 84 ? Answer Choice: (A) 20 (B) 21 (C) 26 (D) 28

answer: The answer is (D). #### D


question: Exits on a highway are numbered consecutively from 1 to 50. The distance from exit 41 to exit 50 is 100 km. If each exit is at least 6 km from the next exit, what is the longest possible distance, in kilometers, between exit 47 and exit 48? Answer Choice: (A) 52 (B) 51 (C) 50 (D) 49

answer: The answer is (A). #### A


question: In a group of 11 people, T of them always tell the truth, and L always lie. Each person names two other people and claims that of the two, exactly one of them is lying. Each person is named in this way by exactly two other people. Find the sum of all possible values of T. Answer Choice: (A) 30 (B) 12 (C) 20 (D) 6

answer: The answer is (B). #### B


question: How many integers 1-9 are divisors of the five-digit number 24,516? Answer Choice: (A) 6 (B) 5 (C) 1 (D) 32

answer: The answer is (A). #### A


question: Sam has $\frac{5}{8}$ of a pound of chocolate. If he eats $\frac{1}{3}$ of the chocolate he has, how many pounds of chocolate does he eat? Answer Choice: (A) \frac{5}{12} (B) \frac{5}{24} (C) \frac{3}{24} (D) \frac{3}{24}

answer: The answer is (B). #### B


question: Alex grows an initial culture of 100 Rhizopus stolonifer fungi on a sample of bread. She wants to model the growth of the fungi according to the exponential equation A = Pe^(rt), where A is the final number of fungi, P is the initial number, r is the growth rate, and t is time elapsed in hours. If after 5 hours she measures the number of fungi to be 750, what is the value of r? Answer Choice: (A) 0.403 (B) 0.863 (C) 2.015 (D) 4.317

answer: The answer is (A). #### A


question: What is the product of the greatest even prime number and the least odd prime number? Answer Choice: (A) 6 (B) 9 (C) 12 (D) 14

answer: The answer is (A). #### A


question: What is the maximum value of $4(x + 7)(2 - x)$, over all real numbers $x$? Answer Choice: (A) -2.5 (B) 4 (C) 81 (D) 56

answer: The answer is (C). #### C


question: Divide $11$ by the reciprocal of $1815 \div 11$. Answer Choice: (A) 111 (B) 1815 (C) 121 (D) 68

answer: The answer is (B). #### B


question: When $\sqrt[3]{-128}$ is simplified, the result is $a\sqrt[3]{b}$, where $a$ is an integer, and $b$ is a positive integer. If $b$ is as small as possible, then what is $a+b$? Answer Choice: (A) 2 (B) -4 (C) 6 (D) -2

answer: The answer is (D). #### D


question: Given that $a(a+2b) = \frac{104}3$, $b(b+2c) = \frac{7}{9}$, and $c(c+2a) = -7$, find $|a+b+c|$. Answer Choice: (A) \frac{23}{3} (B) \frac{5}{3} (C) \frac{16}{3} (D) \frac{10}{3}

answer: The answer is (C). #### C


question: Let $f(x) = (x+2)^2-5$. If the domain of $f$ is all real numbers, then $f$ does not have an inverse function, but if we restrict the domain of $f$ to an interval $[c,\infty)$, then $f$ may have an inverse function. What is the smallest value of $c$ we can use here, so that $f$ does have an inverse function? Answer Choice: (A) -2 (B) -5 (C) 3 (D) -8

answer: The answer is (A). #### A


question: A circle passes through the points (3, 4) and (5, 7). Which of the following points CANNOT lie on the circle? Answer Choice: (A) (–2, –1) (B) (–1, –2) (C) (5, 5) (D) (6, 4)

answer: The answer is (B). #### B


question: How many square units are in the region satisfying the inequalities $y \ge |x|$ and $y \le -|x|+3$? Express your answer as a decimal. Answer Choice: (A) 4.5 (B) 2.25 (C) 6.6 (D) 3.3

answer: The answer is (A). #### A


question: Andy wants to read several books from the required summer reading list. He must read one each from fiction, nonfiction, science, and history. There are 15 fiction, 12 nonfiction, 5 science, and 21 history books listed. How many different summer reading programs could he select? Answer Choice: (A) 53 (B) 265 (C) 8910 (D) 18,900

answer: The answer is (D). #### D


question: When a spaceship full of scientists landed on Planet Q, they found that $\frac{17}{40}$ of the $160$ aliens had $3$ eyes. How many aliens had $3$ eyes? Answer Choice: (A) 67 (B) 35 (C) 36 (D) 68

answer: The answer is (D). #### D


question: If the point $(3,6)$ is on the graph of $y=g(x)$, and $h(x)=(g(x))^2$ for all $x$, then there is one point that must be on the graph of $y=h(x)$. What is the sum of the coordinates of that point? Answer Choice: (A) 3 (B) 6 (C) 39 (D) 36

answer: The answer is (C). #### C


question: What is the minimum value of $a^2+6a-7$? Answer Choice: (A) -30 (B) -12 (C) -7 (D) -16

answer: The answer is (D). #### D


question: Simplify $\frac{2+2i}{-3+4i}$. Express your answer as a complex number in the form $a+bi$, where $a$ and $b$ are real numbers. Answer Choice: (A) 2-14i (B) \frac{2}{25} + \frac{-14}{25}i (C) 1+0i (D) 0-1i

answer: The answer is (B). #### B


question: Compute $i+i^2+i^3+\cdots+i^{258}+i^{259}$. Answer Choice: (A) -1 (B) 1 (C) i (D) 0

answer: The answer is (A). #### A


question: For what value of c on 0 < x < 1 is the tangent to the graph of f (x) = e^x - x^2 parallel to the secant line on the interval [0,1]? Answer Choice: (A) -0.248 (B) 0.351 (C) 0.5 (D) 0.693

answer: The answer is (B). #### B


question: Let $h(4x-1) = 2x + 7$. For what value of $x$ is $h(x) = x$? Answer Choice: (A) 420 (B) 69 (C) 7 (D) 15

answer: The answer is (D). #### D


question: If f : (x, y) → (x + y, 2y – x) for every coordinate pair in the xy-plane, for what points (x, y) is it true that f : (x, y) → (x, y)? Answer Choice: (A) (0, 0) only (B) The set of points (x, y) such that x = 0 (C) The set of points (x, y) such that y = 0 (D) The set of points (x, y) such that x = y

answer: The answer is (A). #### A


question: Find the sum of the primes between 100 and 200, inclusive, that are 1 or 2 more than a perfect square. Answer Choice: (A) 298 (B) 126 (C) 592 (D) 396

answer: The answer is (A). #### A


question: Solve for $x$: $(-\frac{1}{3})(-4 -3x)=\frac{1}{2}$ Answer Choice: (A) -\frac{5}{6} (B) \frac{7}{6} (C) \frac{5}{3} (D) \frac{1}{6}

answer: The answer is (A). #### A


question: There are three real numbers $x$ that are not in the domain of $$f(x) = \frac{1}{1+\frac{1}{1+\frac 1x}}.$$ What is the sum of those three numbers? Answer Choice: (A) 0.5 (B) 0 (C) -1 (D) -1.5

answer: The answer is (D). #### D


question: How many positive cubes divide $3!\cdot 5!\cdot 7!\,$? Answer Choice: (A) 6 (B) 4 (C) 3 (D) 1

answer: The answer is (A). #### A


question: Joe's batting average is .323. (That is, he averages 0.323 hits per at bat.) What is the probability that he will get three hits in three at-bats? Express your answer as a decimal to the nearest hundredth. Answer Choice: (A) 0.03 (B) 0.01 (C) 0.3 (D) 0.1

answer: The answer is (A). #### A


question: A teacher can grade 20 papers during an uninterrupted planning period and 10 papers for each hour he spends at home grading. What function models the number of papers he can grade given that he has 2 uninterrupted planning periods and x full hours devoted to grading at home? Answer Choice: (A) 20 + 2x (B) 20x + 10 (C) 40x + 10 (D) 40 + 10x

answer: The answer is (D). #### D


question: What is the smallest two-digit integer $n$ such that switching its digits and then adding 3 results in $2n$? Answer Choice: (A) 6 (B) 12 (C) 96 (D) 102

answer: The answer is (B). #### B