jaspelinho wrote:
S is the set of all integer multiples of 999
T is the set of all integer multiples of 9999
Quantity A |
Quantity B |
The number of elements in the intersection of sets S and T |
9 |
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Notice that (999)(9999) is an integer multiple of 999
ALSO, (999)(9999) is an integer multiple of 9999
So, sets S and T have this value in common.
Now notice that (2)(999)(9999) is an integer multiple of 999, AND it's an integer multiple of 9999. So, sets S and T have this value in common.
Also, (3)(999)(9999) is an integer multiple of 999, AND it's an integer multiple of 9999. So, sets S and T have this value in common.
And (4)(999)(9999) is an integer multiple of 999, AND it's an integer multiple of 9999. So, sets S and T have this value in common.
As you can see, we can continue this line of reasoning FOREVER.
So, we get:
Quantity A: INFINITY
Quantity B: 9
Answer: