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MATH 035 Midterm 2 Practice
[ 5 ] 1. Which of the following numbers are composite?
i) 213.
ii) 121.
iii) 191.
A) i) only;
B) ii) only;
C) iii) only;
D) i) and ii) only;
E) i) and iii) only;
F) ii) and iii) only;
G) all;
H) none.
[ 5 ] 2. List all the primes from a to b and decide in which of the following 3 cases less than 2 twin
prime pairs occur.
i) a = 3 and b = 11.
ii) a = 11 and b = 31.
iii) a = 43 and b = 57.
A) i) only;
B) ii) only;
C) iii) only;
D) i) and ii) only;
E) i) and iii) only;
F) ii) and iii) only;
G) all;
H) none.
[ 5 ] 3. Which of the following 3 statements are true?
i) If 2 divides a
product
of two numbers then 2 divides one of the numbers.
ii) If 2 divides the
sum
of two numbers then 2 must divide one of the numbers.
iii) If two numbers are divisible by 2 then their
product
is divisible by 4.
A) i) only;
B) ii) only;
C) iii) only;
D) i) and ii) only;
E) i) and iii) only;
F) ii) and iii) only;
G) all;
H) none.
[ 5 ] 4. Let a = 2^6X 7^5X 11² and b = 3^5X 5³X 13³ Which of the following 3 statements are true?
i)
a
is divisible by 64 and
b
is divisible by 65.
ii)
a
and
b
are not relatively prime.
iii)
ab
= LCM(a, b).
A) i) only;
B) ii) only;
C) iii) only;
D) i) and ii) only;
E) i) and iii) only;
F) ii) and iii) only;
G) all;
H) none.
[ 5 ] 5. Which of the following 3 statements are true?
i) The Fundamental Theorem of Arithmetic says that there is only one way to factor a natural number into
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 Spring '07
 FABBRI,MARC
 Math

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