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Unformatted text preview: HW for TEST #3: 1 Marks: 1 Sally is deathly afraid of snakes and especially of boa constrictors. So she decides to make an association between the set N of all natural numbers and the set Z of all integers without the help of a boa constrictor, as follows: associate each even natural number n with the integer n/2, and associate each odd natural number n with onehalf of n1. Has Sally described a onetoone correspondence between N and Z? Choose one answer. a. Yes b. No c. You can't do it without a boa constrictor d. If she's afraid of boa constrictors, why doesn't she just use a giraffe? Correct Marks for this submission: 1/1. Question 2 Marks: 1 A survey of 41 students in our class revealed that 29 like inductive reasoning, 21 like deductive reasoning, 27 like cardinalities, 12 like inductive and deductive reasoning, 17 like inductive reasoning and cardinalities, 10 like deductive reasoning and cardinalities, and 1 student likes all three topics. How many like none of the three? Choose one answer. a. 0 b. 1 c. 2 d. 3 Correct Marks for this submission: 1/1. Question 3 Marks: 1 Which is larger: the binary number 1000000 or the hexidecimal number 4A ? Choose one answer. a. Neither; they are equal b. 1000000 in binary is larger than 4A in hex c. 4A in hex is larger than 1000000 in binary d. A hex number is always larger than a binary number since base sixteen is greater than base two. Correct Marks for this submission: 1/1. Question 4 Marks: 1 Find a rational number between 1/7 and 1/8 Choose one answer. a. 1/9 b. If I saw a pattern I could use inductive reasoning c. Rename the fractions: 1/7 = 10/70 and 1/8 = 10/80 so 10/75 lies between 1/7 and 1/8 d. I don't get it. Correct Marks for this submission: 1/1. Question 5 Marks: 1 The set of students in our class participating in servicelearning has cardinality 32. Student government needs to form one thousand committees. Can all these committees be formed using only servicelearning students in our class? Choose one answer. a. No. One thousand is much larger than 32. b. No. I do not support Student Government. c. No. We could figure this out using binary. d. Yes. The number of committees is one less than 2^{32} (2 raised to the power thirty two). This is much larger than 2^{10} minus 1, and = 1024. Correct Marks for this submission: 1/1....
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 Spring '10
 Briganti,Gustan,Perlis,Namikas,Wheeler
 George Cantor

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