least possible value of n

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abhi332: Master | Next Rank: 500 Posts; Posts: 117; Joined: Wed Dec 30, 2009 1:57 pmFollowed by: 1 member; Location: India; Thanked: 4 times

by abhi332 » Wed Feb 24, 2010 11:18 am

If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n?

A) 10
B) 11
C) 12
D) 13
E) 14

ANS: B

What you think, you become.

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Source: Beat The GMAT — Problem Solving | Wed Feb 24, 2010 11:18 am

Pedros: Senior | Next Rank: 100 Posts; Posts: 40; Joined: Thu Mar 26, 2009 3:02 pm; Thanked: 3 times; GMAT Score:410

by Pedros » Wed Feb 24, 2010 11:29 am

abhi332 wrote:If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n?

A) 10
B) 11
C) 12
D) 13
E) 14

ANS: B

The product of all integers from 1 to N inclusive is a multiple of 990

Prime factorization of 990 yields 2,3,3,5, and 11.

so the numbers from 1 to N must include 11 . So N's least possible value is 11

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