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29 Oct 2019, 21:48
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Is the integer p divisible by 6 ?
(1) p + 3 is divisible by 3
(2) p - 3 is an odd number
(1) p + 3 is divisible by 3
(2) p - 3 is an odd number
29 Oct 2019, 22:34
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Is the integer p divisible by 6 ?
So, p should be divisible by 2 and 3 both.
(1) p + 3 is divisible by 3
Since p+3 is divisible by 3, p will also be divisible by 3. But we cannot say anything about divisibility by 2.
9+3....no, but 6+3..yes.
(2) p - 3 is an odd number
we can say that p is even, so divisible by 2. But nothing about divisibility by 3..
6-3..yes, but 8-3..no
Combined..
p is divisible by both 2 and 3
Suff
So, p should be divisible by 2 and 3 both.
(1) p + 3 is divisible by 3
Since p+3 is divisible by 3, p will also be divisible by 3. But we cannot say anything about divisibility by 2.
9+3....no, but 6+3..yes.
(2) p - 3 is an odd number
we can say that p is even, so divisible by 2. But nothing about divisibility by 3..
6-3..yes, but 8-3..no
Combined..
p is divisible by both 2 and 3
Suff
sampriya
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30 Oct 2019, 01:21
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Is the integer p divisible by 6 ?
for p to be divisible by 6 it must be divisible by 2 and 3
(1) p + 3 is divisible by 3
p+ 3= 3q
p=3(q-1)
therefore p is divisible by 3
we don't know whether p is divisible by 2
A is insufficient
(2) p - 3 is an odd number
therefore p is any even integer
p=10 not divisible by 6
p=6 divisible by 6
no unique answer; B is insufficient
Both A and B together
P is divisible by 3 since P is an even integer divisible by 3
C is the correct answer
for p to be divisible by 6 it must be divisible by 2 and 3
(1) p + 3 is divisible by 3
p+ 3= 3q
p=3(q-1)
therefore p is divisible by 3
we don't know whether p is divisible by 2
A is insufficient
(2) p - 3 is an odd number
therefore p is any even integer
p=10 not divisible by 6
p=6 divisible by 6
no unique answer; B is insufficient
Both A and B together
P is divisible by 3 since P is an even integer divisible by 3
C is the correct answer
