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.

[Q]: Question: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?

 Option A: (x + y

 Option B: (y + z

 Option C: yz/x

 Option D: (2y + 3z

 Option E: (xy + z
[A]: Option A


[Q]: Question: In measuring the sides of a rectangle, one side is taken 6% in excess, and the other 5% in deficit. Find the error percent in the area calculated from these measurements.

 Option A: 0.11%

 Option B: 0.7%

 Option C: 0.4%

 Option D: 0.6%

 Option E: 0.8%
[A]: Option B


[Q]: Question: A train , having a length of 275 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train

 Option A: 10 sec

 Option B: 8 sec

 Option C: 15 sec

 Option D: 4 sec

 Option E: 2 sec
[A]:
Option C