Number Theory

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 62
Joined: Tue Mar 16, 2010 8:27 am
Thanked: 1 times

Number Theory

by raunakrajan » Wed Jun 16, 2010 10:41 pm
What is the least possible product of 4 different integers, each of which has a value between -5 and 10 inclusive?

(A) -5040
(B) -3600
(C) -720
(D) -600
(E) -120
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 294
Joined: Wed May 05, 2010 4:01 am
Location: india
Thanked: 57 times

by amising6 » Wed Jun 16, 2010 10:45 pm
we will give least product by taking one smallest negative number and 3 large positive number
so we will take -5,10,9,8
so product=-3600
Ideation without execution is delusion

User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pm
Thanked: 215 times
Followed by:7 members

by kvcpk » Thu Jun 17, 2010 1:19 am
max negative * max positive = max negative

so -5 * 10 * 9 * 8 bcos numbers shud be different..

therefore -3600