P Q Integers

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members; Thanked: 165 times

by karthikpandian19 » Mon Dec 26, 2011 9:51 pm

If p and q are positive integers, what is the value of p/(q^2)?

(1) p is a multiple of q^2.

(2) q is a multiple of p.

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Source: Beat The GMAT — Data Sufficiency | Mon Dec 26, 2011 9:51 pm

arpan20690: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Thu Dec 08, 2011 10:39 pm

by arpan20690 » Tue Dec 27, 2011 12:33 am

1) If P is multiple of q^2, (p,q) will have a plenty no of values. So, single value of
the answer is not possible. So, NOT SUFFICIENT
2) if q is multiple of P, then scenario is same as previous one. So, NOT SUFFICIENT

Both 1) and 2) can not be true. So, together 1) and 2) is also NOT SUFFICIENT

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members; Thanked: 165 times

by karthikpandian19 » Tue Dec 27, 2011 5:34 pm

When combining both statements, what about the value of 1 which is possible

Answer should be C

???? Any thoughts???

arpan20690 wrote:1) If P is multiple of q^2, (p,q) will have a plenty no of values. So, single value of
the answer is not possible. So, NOT SUFFICIENT
2) if q is multiple of P, then scenario is same as previous one. So, NOT SUFFICIENT

Both 1) and 2) can not be true. So, together 1) and 2) is also NOT SUFFICIENT

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user123321: Master | Next Rank: 500 Posts; Posts: 385; Joined: Fri Sep 23, 2011 9:02 pmFollowed by: 6 members; Thanked: 62 times

by user123321 » Tue Dec 27, 2011 6:12 pm

I think you are right.

1)p is mul of q^2 => p >= q^2
2)q is mul of p => q >= p

combining both q >= p >= q^2
=> q >= q^2
if q is a +ve integer, then only value possible for q is 1 and no other value possible, so p should be 1 as well.

so p/q^2 = 1 hence sufficient.

user123321

Just started my preparation

Want to do it right the first time.

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karthikpandian19: Legendary Member; Posts: 1665; Joined: Thu Nov 03, 2011 7:04 pmFollowed by: 70 members; Thanked: 165 times

by karthikpandian19 » Tue Dec 27, 2011 9:29 pm

OA is C

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