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.
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Question: Question: which no. need to add to 859622 to get a number exactly divisible by 456?

 Option A: 345652

 Option B: 547678

 Option C: 356789

 Option D: 778990

 Option E: 859622

Answer: Option E


Question: Question: If x and y are negative integers, which of the following statements must be true?
I. (-x)^y is positive.
II. (-x)^(-y) is positive.
III. x^(-y) is positive.

 Option A: None

 Option B: II only

 Option C: I and II

 Option D: I and III

 Option E: I, II and III

Answer: Option C


Question: Question: A group of three women and three men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?

 Option A:  7! – 2!3!2!

 Option B: 6! – 4!3!

 Option C:  7! – 5!3!

 Option D:  7 × 2!3!2!

 Option E:  2!3!2!

Answer:
Option B