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2 Find the greatest common divisor of 504 and 385. Marks 1 of 45 7 Notes (+ Unsure 1 Is there an integer y such that 504y = 10 (mod 385) and 0 < y...
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These are some low level math questions 1-6 from MAT1830 (Monash)  Discrete Mathematics for Computer Science, only answers required as soon as possible pls, if answers correct I will give good feedback, thank you!

6.jpg45.jpg13.jpg

13.jpg
2
Find the greatest common divisor of 504 and 385.
Marks
1
of 45
7
Notes (+
Unsure
1
Is there an integer y such that 504y = 10 (mod 385) and 0 < y < 385? If there is, enter such an integer y. If there isn't, enter NA.
Mark
2 of 45
write your answer here
Notes (+
Unsure
3
Is there an integer z such that 504z = 7 (mod 385) and 0 < < < 385? If there is, enter such an integer z. If there isn't, enter NA.
Marks
3 of 45
write your answer here
Notes
+
Unsure
45.jpg
2
Consider a function f : N -> R. Which of the following guarantees that "_=1 2 < 2 - f(n) for all integers n 2 1" can be proved by induction?
Marks
(If (F) is true you must select it rather than any other answer. If (F) is false but (E) is true, you must select (E) rather than (A) or (B).)
Select one:
O (A): f(1) = 5 and f(k + 1) < f(k) - for all integers k 2 1
4 of 45
O (B): f(1) = 3 and f(k + 1) < f(k) - for all integers k 2 1
O (c): f(1) = ; and f(k + 1) < f(k) + for all integers k 2 1
O (D): f(1) = 1 and f(k + 1) < f(k) + for all integers k 2 1
O (E): both (A) and (B)
O (F): all of (A), (B), (C) and (D)
Notes (+)
Unsure
3
Consider the sentences -((p - -q) A r) and (p / q) V -r. There are 8 possible interpretations for these sentences according to the truth values of p, q
Marks
and r. Under how many of these interpretations do the two sentences have the same truth value?
5
of 45
write your answer here
Notes (+)
Unsure
6.jpg
1
Let A and B be sets. If p is the proposition "x E A" and q is the proposition "x ( B", which of the following is logically equivalent to "x E A U B"?
Mark
Select one:
O PVq
Ophq
6
of 45
OpV q
Op + q
OPA -q
Notes
+
|Unsure

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