hard factorisation question

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 203
Joined: Wed Jun 04, 2008 1:01 am
Location: Windsor
Thanked: 5 times
GMAT Score:650

hard factorisation question

by jsl » Wed Oct 29, 2008 1:57 pm
If a and b are positive integers, is 3(a^2)b divisible by 60?

1) a is divisible by 10
2) b is divisible by 18

OA to follow shortly but I'll tell you that it isn't E!!

Master | Next Rank: 500 Posts
Posts: 496
Joined: Sun May 04, 2008 11:01 pm
Location: mumbai
Thanked: 7 times
GMAT Score:640

by stubbornp » Wed Oct 29, 2008 2:21 pm
stmt 1: a is divisible by 10

Min value for A is 10..

3(10)^2.b/60 = 300*b/60 = 5*b-----sufficient

Stmt 2:

b is divisible by 18

but we need atleast one factor of 5..---insufficient

A is answer

User avatar
Legendary Member
Posts: 2134
Joined: Mon Oct 20, 2008 11:26 pm
Thanked: 237 times
Followed by:25 members
GMAT Score:730

Re: hard factorisation question

by logitech » Wed Oct 29, 2008 4:41 pm
jsl wrote:If a and b are positive integers, is 3(a^2)b divisible by 60?

1) a is divisible by 10
2) b is divisible by 18

OA to follow shortly but I'll tell you that it isn't E!!
if something is divisible by 60: you need to have 2x2x3x5 prime numbers in it

1) a is divisible by 10 means it has 2x5

the question can be simplified to is a^2b divisible by 20 ( 2x2x5)

so 1 is sufficient since a^2 will have 2x2x5x5 SUF

2) INSUF because 18 has no 5 as a prime factor

A
LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"