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Bunuel
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In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees 09 Dec 2019, 00:53
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

65% (01:47) correct 35% (01:49) wrong based on 62 sessions

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In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees are Birches. What is the number of birch trees in the forest?

(1) The difference between the number of Walnut trees and the number of Birch trees is greater than 10

(2) There are fewer than 350 total trees


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C
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In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees 09 Dec 2019, 03:07
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given
W= x/5 and B= x/6
#1
x/5-x/6 >10
x>300
insufficient
#2
total trees <350
insufficient
from 1 &2
LCM = 30 ; multiple of 300 ; >300 and < 350 ; 330
IMO C; W= 65 and B = 55
sufficient

Bunuel
In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees are Birches. What is the number of birch trees in the forest?

(1) The difference between the number of Walnut trees and the number of Birch trees is greater than 10

(2) There are fewer than 350 total trees


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LevanKhukhunashvili
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In a certain forest 1/5 of the trees are Walnuts and 1/6 of the trees 09 Dec 2019, 09:36
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Let the total trees be x
W=x/5
B=x/6

We have to find B

1 stm -- x/5-x/6=x/30; x/30>10 --> x>300. Not Sufficient
2 stm -- x<350; x can be 30, 60 so on untill x<350. Not sufficinet

Together 300<x<350 and the only integer divisible by 30 is 330. Sufficient

IMO
Ans: C
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Bunuel
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