,
and
are positive integers such that when
is divided by
the remainder is 3, and when
is divided by
, the remainder is 8. What is the smallest possible value of
?<\/p>\n
A. 12
\nB. 20
\nC. 24
\nD. 29
\nE. 33<\/p>\n
Question Discussion & Explanation<\/a><\/p>\n Correct Answer<\/strong>\u00a0- B<\/span>\u00a0-\u00a0(click and drag your mouse to see the answer)<\/p>\n The executive committee of the shopping mall announced that more officers will be added to the mall security force for the holiday shopping season in an effort to keep shoppers safe from violent crimes. The mall security force, which currently consists of 10 officers, was deemed too small after 44 armed robberies were committed in the mall's parking lots during last year's holiday shopping season. Although most of those armed robberies occurred in the mall's northern parking lot, none of the additional officers will be assigned to the northern parking lot.<\/p>\n Which of the following, if true, most helps to explain the apparent discrepancy described above?<\/strong><\/p>\n (A) All of the mall security force's current officers already spend much of their time patrolling the northern parking lot.<\/p>\n (B) Mall shoppers will feel safer if they see an increase in the number of officers inside the mall.<\/p>\n (C) All mall areas and parking lots aside from the northern lot will be patrolled exclusively by the newly added officers, allowing the security force's existing team of experienced officers to focus entirely on patrolling the northern lot.<\/p>\n (D) The mall's northern parking lot is only open during the holiday shopping season to accommodate the significant increase in mall traffic.<\/p>\n (E) The majority of the crimes that occurred during last year's holiday shopping season took place inside the mall and consisted mostly of non-violent crimes such as petty theft and vandalism.<\/p>\n
\nVerbal<\/h2>\n