sandy wrote:
Which of the following integers has both 12 and 17 as factors?
A. 34
B. 84
C. 120
D. 204
E. 217
One approach is to start checking whether each answer choice is a multiple of 12
A. 34 is NOT a multiple of 12 (i.e., 12 is NOT a factor of 34). ELIMINATE
B. 84 IS a multiple of 12 KEEP
C. 120 IS a multiple of 12 KEEP
D. 204 IS a multiple of 12 KEEP
E. 217 is NOT a multiple of 12 (i.e., 12 is NOT a factor of 217). ELIMINATE
Now check the remaining answer choices and see if they're multiples of 17
B. 84 is NOT a multiple of 17. ELIMINATE
C. 120 is NOT a multiple of 17. ELIMINATE
By the process of elimination, the correct answer is D