what is the least possible value of x?

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apoorva.srivastva: Master | Next Rank: 500 Posts; Posts: 146; Joined: Wed Aug 27, 2008 5:41 am; Thanked: 3 times

by apoorva.srivastva » Wed Jan 13, 2010 8:21 am

If 10^x is multiple of 40, what is the least possible value of x?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

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Source: Beat The GMAT — Problem Solving | Wed Jan 13, 2010 8:21 am

Bryant@VeritasPrep: MBA Admissions Consultant; Posts: 1090; Joined: Wed May 27, 2009 4:06 amFollowed by: 68 members; Thanked: 175 times; GMAT Score:750

by Bryant@VeritasPrep » Wed Jan 13, 2010 9:45 am

A good way to find a quick solution to straighforward math questions can sometimes be to plug-and-chug. Since you know in this case that your answer must be a multiple of 40, you can instantly eliminate choices A and B, since 10^1 = 10 and 10^2 = 100, neither of which are multiples of 40. Also, since they want to know the least value for x, you should continue in this fashion until you find the first multiple of 40. In this case, 10^3 = 1000 and 40 goes into 1000 25 times, so answer is C.

Bryant Michaels
MBA Admissions Consultant

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