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: A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number N is

 Option A: 74

 Option B: N=75

 Option C: N=175

 Option D: N=680

 Option E: 690

Answer: Option B


Question: Question: 5, 9, 17, 29, 45, ?

 Option A: 65

 Option B: 56

 Option C: 74

 Option D: 57

 Option E: 32

Answer: Option A


Question: Question: In how many ways can the letters of the word AGENDA be rearranged such that the vowels always appear together?

 Option A: 6!/2!

 Option B: 3!*3!

 Option C: 4!/2!

 Option D: (4! *3!

 Option E: 3!*3!/2

Answer:
Option D