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Moderator - Masters Forum
Joined: 18 Feb 2019
Posts: 716
Given Kudos: 276
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Is (p - 2)(q - 2) square of an integer?
[#permalink]
29 Mar 2019, 12:42
29 Mar 2019, 12:42
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Is (p - 2)(q - 2) square of an integer?
(1) pq = 2(p+q)
(2) p – q = 0
(1) pq = 2(p+q)
(2) p – q = 0
Re: Is (p - 2)(q - 2) square of an integer?
[#permalink]
29 Mar 2019, 14:17
29 Mar 2019, 14:17
5
Kudos
Statement 1
pq = 2(p+q)
So for only value of 4 for both p and q, the condition satisfy.
i.e. 4*4 = 2(4+4)
16 = 16
Statement 1 is sufficient.
Statement 2:
p - q = 0
This implies that p and q are of same value and same sign.There can be any range of values for p and q, i.e. (2,2), (4,4), (100,100).
But for p and q having value 2, the condition (p-2)(q-2)=square of an integer doesn't satisfy, as 0*0 is not a perfect square.
Statement 2 is insufficient condition.
Answer is A
Posted from my mobile device
pq = 2(p+q)
So for only value of 4 for both p and q, the condition satisfy.
i.e. 4*4 = 2(4+4)
16 = 16
Statement 1 is sufficient.
Statement 2:
p - q = 0
This implies that p and q are of same value and same sign.There can be any range of values for p and q, i.e. (2,2), (4,4), (100,100).
But for p and q having value 2, the condition (p-2)(q-2)=square of an integer doesn't satisfy, as 0*0 is not a perfect square.
Statement 2 is insufficient condition.
Answer is A
Posted from my mobile device
Re: Is (p - 2)(q - 2) square of an integer?
[#permalink]
29 Mar 2019, 14:19
29 Mar 2019, 14:19
1
Kudos
Statement 1
pq = 2(p+q)
So for only value of 4 for both p and q, the condition satisfy.
i.e. 4*4 = 2(4+4)
16 = 16
Statement 1 is sufficient.
Statement 2:
p - q = 0
This implies that p and q are of same value and same sign.There can be any range of values for p and q, i.e. (2,2), (4,4), (100,100).
But for p and q having value 2, the condition (p-2)(q-2)=square of an integer doesn't satisfy, as 0*0 is not a perfect square.
Statement 2 is insufficient condition.
Answer is A
Posted from my mobile device
pq = 2(p+q)
So for only value of 4 for both p and q, the condition satisfy.
i.e. 4*4 = 2(4+4)
16 = 16
Statement 1 is sufficient.
Statement 2:
p - q = 0
This implies that p and q are of same value and same sign.There can be any range of values for p and q, i.e. (2,2), (4,4), (100,100).
But for p and q having value 2, the condition (p-2)(q-2)=square of an integer doesn't satisfy, as 0*0 is not a perfect square.
Statement 2 is insufficient condition.
Answer is A
Posted from my mobile device
