isn't it 16?
0<=3n+1<=50
n<=16
Interger
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
-
orel
- Master | Next Rank: 500 Posts
- Posts: 247
- Joined: Sun Jul 27, 2008 1:39 am
- Thanked: 2 times
- GMAT Score:660
hi!4meonly wrote:the least integer that will satisfy given options is 1
the greates - 49
49-1 /3 = 16
do not forget to add 1
16+1 = 17
how the remainder can be 1 when 1 is devided by 3? so, the least integer satisfying the option is 4.
but even if we count one by one, the integers satisfying the option are:
4, 7,10,13,16,19,22,25,28,31,34,37,40,43,46,49
so, 16
am i missing smth???
please, explain!!!
-
4meonly
- Legendary Member
- Posts: 891
- Joined: Sat Aug 16, 2008 4:21 am
- Thanked: 27 times
- Followed by:1 members
- GMAT Score:660(
Yes, u still miss 1
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?
n=3q+1
where n - your integer
3 - factor
Q- quotent
1 - remainder
you should find the number of n that are 0<n<50
4=3*1 +1
7=3*2 +1
10 = 3*3 +1
and 1 = 3*0 +1
OK?
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?
n=3q+1
where n - your integer
3 - factor
Q- quotent
1 - remainder
you should find the number of n that are 0<n<50
4=3*1 +1
7=3*2 +1
10 = 3*3 +1
and 1 = 3*0 +1
OK?
- logitech
- Legendary Member
- Posts: 2134
- Joined: Mon Oct 20, 2008 11:26 pm
- Thanked: 237 times
- Followed by:25 members
- GMAT Score:730
if you divide X with Y
and
X < Y
The remainder is X itself.
Ex:
3 is divided by 4
the remainder is 3
1 is divided by 3
the remainder is 1
and
X < Y
The remainder is X itself.
Ex:
3 is divided by 4
the remainder is 3
1 is divided by 3
the remainder is 1
LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"
-
GMATCHPOINT
- Senior | Next Rank: 100 Posts
- Posts: 51
- Joined: Wed Oct 08, 2008 12:50 pm












