adi_800 wrote:A line of people is divided into groups. Each group consists of a continuous section of the line. Samantha was the 27th person in line. Each group has a minimum of 2 people, and a maximum of 6. If the groups are numbered from the front of the line to the back, and Samantha is in group x , which of the following must be true?

Samantha's group number, i.e. x will be maximum when all the groups before x contains the minimum allowed, i.e. 2 people. Hence, x will be equal to the smallest integer greater than or equal to (27/2), i.e. 14

Now, x will be minimum when all the groups before x contains the maximum allowed, i.e. 6 people. Hence, x will be equal to the smallest integer greater than or equal to (27/6), i.e. 5

Hence, 5 ≤ x ≤ 14

The correct answer is D.