When integer p is divided by 7, the remainder is 2. Is p divisible by 8?
(1) p is divisible by 2 and 3
(2) p < 100[/list]
Answer is E
Numbers which satisfy the condition of "remainder 2 when divided by 2" are
9,16,23,30,37,44,51,58,
1) P is divisible by 2 and 3..
It can be 30,72
30 is not divisible by 8 whereas 72 is .
Insuff
2) Insuff
Is p divisible by 8?
This topic has expert replies
Source: Beat The GMAT — Data Sufficiency |
Same reasoning as above..
1) P divided by 2 and 3 is similar to saying the number is divisible by 6. Without a range here, there is more than one possibility that P is divisible by 6 when the remainder will be 2 when divided by 7. Insufficient.
2) P < 100. Not enough information.
Together: Same as the above, yet there are two numbers under 100 that are divisible by 6 and have remainder 2 when it is divided by 7 (i.e. 30 and 72). Insufficient.
I choose E.
1) P divided by 2 and 3 is similar to saying the number is divisible by 6. Without a range here, there is more than one possibility that P is divisible by 6 when the remainder will be 2 when divided by 7. Insufficient.
2) P < 100. Not enough information.
Together: Same as the above, yet there are two numbers under 100 that are divisible by 6 and have remainder 2 when it is divided by 7 (i.e. 30 and 72). Insufficient.
I choose E.
"If you fail to plan,..then you plan to fail"
1) p is divisible by 2 and 3. so it is a multiple of 64meonly wrote:When integer p is divided by 7, the remainder is 2. Is p divisible by 8?
(1) p is divisible by 2 and 3
(2) p < 100
6,12,18,24,30,36,42,48,54,60,66,72...
here 30/7 and 72/7 both give reminder 2
30 is not divisible by 8 but 72 is...
so insuff
2) insuff as there are several numbers
combing both too we will have same problem as in (1)
Insuff
so E
any simple method??
--------------------------
i am back!
i am back!
