[Math Center]

1.

Quantity A Quantity B
{ 950 }^{ 2000 }   { 10 }^{ 2000 }

 

2. Which of the following integers are multiples of both 2 and 3 ?
Indicate all such integers.

(A) 8
(B) 9
(C) 12
(D) 18
(E) 21
(F) 36

 

3. If  \frac { 1 }{ \left( { 2 }^{ 11 } \right) \left( { 5 }^{ 17 } \right) } is expressed as a terminating decimal, how many nonzero digits will the decimal have?

(A) 1
(B) 2
(C) 4
(D) 6
(E) 11

 

4.  What is the least positive integer that is not a factor of and is not a 25 ! prime number? 

(A) 26
(B) 28
(C) 36
(D) 56
(E) 58

 

5.  If the least common multiple of m and n is 24 , then what is the first integer larger than 3070 that is divisible by both m and n ?

(A) 3072 
(B) 3078
(C) 3084   
(D) 3088
(E) 3094

 

6. If x is divisible by both 3 and 4 , then the number x must be a multiple of which one of the following?

(A) 8
(B) 12
(C) 15
(D) 18
(E) 21

 

7.

Quantity A Quantity B
The first number larger than 300 that is a multiple of both 6 and 8 324

 

8.

Quantity A Quantity B
Least common multiple of the two positive integers m and n mn

 

9.  Let P stand for the product of the first 5 positive integers.  What is the greatest possible value of m if \frac{ P }{ { 10 }^{ m } } is an integer?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 10

 

10. What is the greatest prime factor of  ({ 2 }^{ 4 })^{ 2 }-1 ?

(A) 3
(B) 5
(C) 11
(D) 17
(E) 19

 

 

Answer:

1 B
2 C,D,F
3 B
4 E
5 A
6 B
7 B
8 D
9 A
10 D

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