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

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

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New post 24 Apr 2018, 05:47
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

44% (01:17) correct 56% (01:16) wrong based on 54 sessions

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GMAT 1: 620 Q48 V28
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Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2) [#permalink]

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New post 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.
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Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2) [#permalink]

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New post 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
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Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2) [#permalink]

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New post 24 Apr 2018, 12:37
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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
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Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2) [#permalink]

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New post 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

A is answer

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Re: If r is greater than 120 percent of s, is r > 70? (1) 60 < s < 80 (2)   [#permalink] 11 May 2018, 23:29
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