GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 21:35

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# A is the set of positive integers that when divided by 2,3,4,5,6,

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 10 Apr 2018
Posts: 266
Location: United States (NC)
A is the set of positive integers that when divided by 2,3,4,5,6,  [#permalink]

### Show Tags

11 Apr 2019, 13:15
4
00:00

Difficulty:

65% (hard)

Question Stats:

50% (02:28) correct 50% (02:05) wrong based on 20 sessions

### HideShow timer Statistics

A is the set of positive integers that when divided by 2,3,4,5,6, leave reminder 1,2,3,4,5 respectively . How many such integers between 50 and 500 belong to set A.?
(A) 1
(B) 2
(C)5
(D)6
(E)8

59, 119,179,239, 299, 359, 419, 479

_________________
Probus

~You Just Can't beat the person who never gives up~ Babe Ruth
Intern
Joined: 31 Aug 2016
Posts: 5
Location: India
Concentration: Finance, Economics
GMAT 1: 600 Q49 V25
WE: Analyst (Consulting)
Re: A is the set of positive integers that when divided by 2,3,4,5,6,  [#permalink]

### Show Tags

11 Apr 2019, 14:34
Take simple LCM of the divisors 2,3,4,5,6 which will give you 60 and did -1 to get to the number which can give me the reminders needed.

The set of A will be for all 60x - 1
50 < 60x - 1< 500
will give 8 so the answer is E
Re: A is the set of positive integers that when divided by 2,3,4,5,6,   [#permalink] 11 Apr 2019, 14:34
Display posts from previous: Sort by