GMAT Changed on April 16th - Read about the latest changes here

 It is currently 26 May 2018, 20:29

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is positive integer x divisible by 70?

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 45455
Is positive integer x divisible by 70? [#permalink]

Show Tags

06 Feb 2018, 05:52
00:00

Difficulty:

25% (medium)

Question Stats:

92% (00:25) correct 8% (00:19) wrong based on 25 sessions

HideShow timer Statistics

Is positive integer x divisible by 70?

(1) x is divisible by 2 and 5.

(2) x is divisible by 2 and 7.

_________________
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1118
Location: India
GPA: 3.82
Is positive integer x divisible by 70? [#permalink]

Show Tags

06 Feb 2018, 10:00
Bunuel wrote:
Is positive integer x divisible by 70?

(1) x is divisible by 2 and 5.

(2) x is divisible by 2 and 7.

$$70=2*5*7$$

for $$x$$ to be divisible by $$70$$ it must have all $$2$$, $$5$$ & $$7$$ as factors

Statement 1: nothing mentioned about $$7$$. Insufficient

Statement 2: Nothing mentioned about $$5$$. Insufficient

Combining 1 & 2: we know $$x$$ is divisible by $$2$$, $$5$$ & $$7$$, hence $$x$$ must be divisible by $$70$$. Sufficient

Option C
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2579
Location: India
GPA: 3.12
Re: Is positive integer x divisible by 70? [#permalink]

Show Tags

06 Feb 2018, 10:04
Bunuel wrote:
Is positive integer x divisible by 70?

(1) x is divisible by 2 and 5.

(2) x is divisible by 2 and 7.

70 when prime-factorized gives us 2*5*7.
So we need to check if the number is divisible by 2,5, and 7.

1. x being divisible by 2 and 5 is not enough, since
we don't know if x is divisible by 7 (Insufficient)

2. x being divisible by 2 and 7 is not enough, since
we don't know if x is divisible by 5 (Insufficient)

On combining the information given in both the statements,
we can clearly tell that x is divisible by 70 (Sufficient - Option C)
_________________

You've got what it takes, but it will take everything you've got

Re: Is positive integer x divisible by 70?   [#permalink] 06 Feb 2018, 10:04
Display posts from previous: Sort by