3 consecutives

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 150
Joined: Tue Mar 08, 2011 4:38 am
Thanked: 5 times

3 consecutives

by finance » Wed Jul 27, 2011 3:32 am
If p is a positive integer and
r = p(p + 1) (p + 2), then which of the
following could not be a value of r?
A. 6
B. 36
C. 116
D. 156
E. 180
Source: — Problem Solving |

User avatar
Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Mon Jul 25, 2011 1:32 am

by Kay_LAL » Wed Jul 27, 2011 5:03 am
1*2*3=6

hence its A....just my view.

Junior | Next Rank: 30 Posts
Posts: 29
Joined: Tue Jul 12, 2011 1:07 pm
Thanked: 8 times
Followed by:1 members

by beatthegmat.garry » Wed Jul 27, 2011 6:57 am
Among any 3 consecutive integers you will find either 2 numbers one of them a multiple of 2 and the other a multiple of 3 or one number which is multiple of 6. Hence when you multiple 3 consecutive numbers the product will be a multiple of 6.

From the above list 116 is the only number which is not a multiple of 6.
Hence the answer is C.

Thanks !

Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Wed Jul 27, 2011 5:41 am
Thanked: 1 times

by MarkMeier20 » Wed Jul 27, 2011 7:30 am
If p is a positive integer and
r = p(p + 1) (p + 2), then which of the
following could not be a value of r?
A. 6
B. 36
C. 116
D. 156
E. 180
B,C,D and E could not be a value of r. 6 could be a value of r.

User avatar
Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Mon Jul 25, 2011 1:32 am

by Kay_LAL » Wed Jul 27, 2011 7:43 am
Kay_LAL wrote:1*2*3=6

hence its A....just my view.
Sorry... I didnt notice that 'it could not be '

Master | Next Rank: 500 Posts
Posts: 150
Joined: Tue Mar 08, 2011 4:38 am
Thanked: 5 times

by finance » Wed Jul 27, 2011 11:51 am
beatthegmat.garry wrote:Among any 3 consecutive integers you will find either 2 numbers one of them a multiple of 2 and the other a multiple of 3 or one number which is multiple of 6. Hence when you multiple 3 consecutive numbers the product will be a multiple of 6.

From the above list 116 is the only number which is not a multiple of 6.
Hence the answer is C.

Thanks !
Hi!

Thank you for your explanation. Can you please tell me what are the three consecutive numbers that give 36 when multiplied.