HI the below problems have to have either fundamentals im missing or a less time consuming way. Please help
1. If x,y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is not necessarily an integer
A. x+z/z
B. y+z/x
C. x+y/z
D. xy/z
E. yz/x
2. What is the greatest possible length of a positive integer less than 1,000?
Note: For any positive integer n, n>1, the "length" of n is the number of positive primes whose product is n. For example, the length of 50 is 3 since 50= (2) (5) (5)
A. 10
B. 9
C. 8
D. 7
E. 6
3. If the product of the integers w,x,y, and z is 770, and if 1 < w < x < y < z, what is the value of w + z?
A. 10
B. 13
C. 16
D. 18
E. 21
What fundamentals am i missing with these three questions? I am finding it very hard to answer the variable type problems like the last problem above. How can I solve these using my basic fundamentals? Or do they just require a little more thought and work?
[/u]
1. If x,y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is not necessarily an integer
A. x+z/z
B. y+z/x
C. x+y/z
D. xy/z
E. yz/x
2. What is the greatest possible length of a positive integer less than 1,000?
Note: For any positive integer n, n>1, the "length" of n is the number of positive primes whose product is n. For example, the length of 50 is 3 since 50= (2) (5) (5)
A. 10
B. 9
C. 8
D. 7
E. 6
3. If the product of the integers w,x,y, and z is 770, and if 1 < w < x < y < z, what is the value of w + z?
A. 10
B. 13
C. 16
D. 18
E. 21
What fundamentals am i missing with these three questions? I am finding it very hard to answer the variable type problems like the last problem above. How can I solve these using my basic fundamentals? Or do they just require a little more thought and work?
[/u]
