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Is the number y between 0.1 and 0.6? (1) 720y < 360 (2) 500y > 100

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Is the number y between 0.1 and 0.6? (1) 720y < 360 (2) 500y > 100  [#permalink]

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New post 22 Oct 2019, 00:11
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (00:45) correct 14% (01:18) wrong based on 22 sessions

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Is the number y between 0.1 and 0.6? (1) 720y < 360 (2) 500y > 100  [#permalink]

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New post Updated on: 22 Oct 2019, 22:59
1) 720Y<360
Y<360/720
Y<0.5
Not sufficient

2) 500Y>100
Y>0.2
Not sufficient

1 & 2 together. 0.2<y<0.5
Sufficient since y lies between 0.1 and 0.6

Answer: C

Originally posted by nakulmk on 22 Oct 2019, 09:46.
Last edited by nakulmk on 22 Oct 2019, 22:59, edited 1 time in total.
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Re: Is the number y between 0.1 and 0.6? (1) 720y < 360 (2) 500y > 100  [#permalink]

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New post 22 Oct 2019, 11:48
Dividing by 720 on both sides in Statement 1, we learn y < 0.5. That's not sufficient, because y might be 0.4, and might be in between 0.1 and 0.6, or y might be -1,000,000, and might not be. Dividing by 500 on both sides in Statement 2, we learn y > 0.2. That's not sufficient because y might be 0.4 or y might be 1,000,000. Using both Statements, we know 0.2 < y < 0.5, so it's certainly true that 0.1 < y < 0.6, and the answer is C.
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Re: Is the number y between 0.1 and 0.6? (1) 720y < 360 (2) 500y > 100   [#permalink] 22 Oct 2019, 11:48
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Is the number y between 0.1 and 0.6? (1) 720y < 360 (2) 500y > 100

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