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# How many integers from 0 to 50, inclusive, have a remainder

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Senior Manager
Joined: 08 Jun 2004
Posts: 499
Location: Europe
Followers: 1

Kudos [?]: 20 [0], given: 0

How many integers from 0 to 50, inclusive, have a remainder [#permalink]  30 Apr 2006, 07:05
00:00

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(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?

A. 15
B. 16
C. 17
D. 18
E. 19

It an easy question, but I'm not sure in the OA.
Later explain my approach.
VP
Joined: 28 Mar 2006
Posts: 1384
Followers: 2

Kudos [?]: 19 [0], given: 0

50 = 3*m +1 (Since 50 is the max value)

m max is value = 16

B
Manager
Joined: 23 Jan 2006
Posts: 192
Followers: 1

Kudos [?]: 10 [0], given: 0

there are 16 multiples of three that are less than 50
3*16 = 48
but 1/3 = 0 remainder 1
so 17
VP
Joined: 28 Mar 2006
Posts: 1384
Followers: 2

Kudos [?]: 19 [0], given: 0

kook44 wrote:
there are 16 multiples of three that are less than 50
3*16 = 48
but 1/3 = 0 remainder 1
so 17

My problem continues....I try to read the question fast and forget the stem...

It has got to be 17
Intern
Joined: 28 Jan 2005
Posts: 18
Followers: 0

Kudos [?]: 0 [0], given: 0

a=1, d=3 and last term=49

49=1+(n-1)3
51/3=17=n(ANS)
Senior Manager
Joined: 08 Jun 2004
Posts: 499
Location: Europe
Followers: 1

Kudos [?]: 20 [0], given: 0

OA is 17, but where do you find 1 more
as we have only 16 (from 4 to 49 inclusive)?
VP
Joined: 06 Jun 2004
Posts: 1059
Location: CA
Followers: 2

Kudos [?]: 46 [0], given: 0

M8 wrote:
OA is 17, but where do you find 1 more
as we have only 16 (from 4 to 49 inclusive)?

don't forget 1, when it divides by 3, it also has a remainder of 1
_________________

Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

Manager
Joined: 27 Mar 2006
Posts: 136
Followers: 1

Kudos [?]: 1 [0], given: 0

Agree it is 17
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