instruction:
You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
question:
Question: In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue?

 Option A:  7%

 Option B:  14%

 Option C:  21%

 Option D:  28%

 Option E:  35%
answer:
Option C


question:
Question: When p is divided by 9, the remainder is 7. All of the following are possible values of p, except for which of the following?

 Option A: 16

 Option B: 34

 Option C: 52

 Option D: 60

 Option E: 70
answer:
Option D


question:
Question: At a dinner party, 8 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?

 Option A: 5

 Option B: 10

 Option C: 24

 Option D: 32

 Option E: 5040
answer:

Option E