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

 It is currently 19 Oct 2018, 04:44

### 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

# If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50001
If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)  [#permalink]

### Show Tags

24 Apr 2018, 05:47
00:00

Difficulty:

65% (hard)

Question Stats:

41% (01:53) correct 59% (01:37) wrong based on 81 sessions

### HideShow timer Statistics

If r is greater than 120 percent of s, is r > 70?

(1) 60 < s < 80
(2) r - s = 40

_________________
Senior Manager
Joined: 21 Jan 2015
Posts: 346
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28
GMAT 2: 690 Q49 V35
WE: Sales (Consumer Products)
Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)  [#permalink]

### Show Tags

24 Apr 2018, 06:02
And: D
Both statement alone sufficient to ans the question..

given r > 120% of s

from 1: minimum value of s is 60 so r must be greater than 120 % of 60 which is = 72 (Sufficient)
from 2: given r-s= 40 means 1.20s-s=40 so .2s=40: so s=200 thus r>70 (sufficient)

Both alone sufficient to ans.
_________________

--------------------------------------------------------------------
The Mind is Everything, What we Think we Become.
Kudos will encourage many others, like me.
Thanks

Intern
Joined: 18 Jul 2016
Posts: 34
Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)  [#permalink]

### Show Tags

24 Apr 2018, 12:30
Given that
$$r > \frac{120}{100} s$$ ; $$r > 70 ?$$

Statement 1

$$60 < s < 80$$

For min value of s = 60, $$\frac{120}{100}* 60$$ => r > 72

Sufficient

Statement 2

$$r - s = 40$$

=> $$s = r- 40$$

=> $$r > \frac{120}{100}* (r-40)$$

=> $$r > \frac{6}{5} r - 48$$

=> $$r < 48 * 5$$

But we don't know if r > 70, hence Insufficient

IMO A
Manager
Joined: 05 Dec 2017
Posts: 52
Location: India
WE: Analyst (Commercial Banking)
Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)  [#permalink]

### Show Tags

24 Apr 2018, 12:37
1
St1 : 60 < s < 80

Since r>1.2s, considering the lowest value of s,
r>1.2*60 or r >72
is r>70 with 60 < s < 80 => Yes
Sufficient

St2 : r - s = 40

Now r>1.2s
or r-s>0.2s
or 40>.2s
or s<200

Since there is no lower limit, and s can be zero also, r can take values on both side of 70

Hence insufficient

Correct Option A
Director
Joined: 02 Oct 2017
Posts: 649
Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)  [#permalink]

### Show Tags

11 May 2018, 23:29
Given r>6s/5

I) for s=60
r>6*60/5
r>72
So for other values r is surely greater than 70
Sufficient

II) r-s=40

R can be 30 s can be -10
Or
R can be 80 and s be 40
Many possibilities
So insufficient

Posted from my mobile device
_________________

Give kudos if you like the post

Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2) &nbs [#permalink] 11 May 2018, 23:29
Display posts from previous: Sort by