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Jamboree and GMAT Club Contest: [N] denotes the greatest integer less

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Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

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New post 14 Nov 2015, 00:42
1
[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

We are given that [N] denotes the greatest integer less than or equal to N. SO if N is 1.2 [N] = 1 or if N = 0.2 then [N] = 0 or if N = -0.2 then [N] = -1

so if [5N] = 0, 0<= 5N <1 or 0 <= N < 0.2. So N should be in this range.

(1) [4N] = 0
It means 0 <= 4N < 1 or 0 <= N < 0.25. This range is a superset of the range 0 <= N < 0.2. Therefore for some numbers, [5N] = 0 while for some other [5N] is not 0. Insufficient.

(2) [6N] = 0
It means 0 <= 6N < 1 or 0 <= N < 0.1666. This range is a subset of the range 0 <= N < 0.2. Therefore for all of the numbers in this range , [5N] = 0.Sufficient.

Ans. B
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Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

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New post 14 Nov 2015, 09:41
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Bunuel wrote:

Jamboree and GMAT Club Contest Starts



QUESTION #6:

[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0


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To participate, you will have to reply with your best answer/solution to the new questions that will be posted on Saturday and Sunday at 9 AM Pacific.
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JAMBOBREE OFFICIAL SOLUTION:

As [N] denotes the greatest integer less than or equal to N, then for [5N] = 0, must be true that 0 ≤ 5N < 1, or whether 0 ≤ N < 0.2.

Statement 1: given [4N] = 0 --> 0 ≤ 4N < 1 --> 0 ≤ N < 0.25. Not sufficient.
Statement 2: given [6N] = 0 --> 0 ≤ 6N < 1 --> 0 ≤ N < 0.16666..... Sufficient.

Answer: B.
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Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

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New post 15 Nov 2015, 10:17
[N] denotes the greatest integer less than or equal to N. is [5N] = 0?

(1) [4N] = 0
(2) [6N] = 0

Soln:
1. [4N] = 0.
a. Let, 4N = 0.04, or, N = 0.01, or 5N = 0.05, or [5N] = 0.
b. Let, 4N = 0.88, or, N = 0.22, or, 5N = 1.10, or, [5N] = 1. NOT SUFFICIENT.

2. [6N] = 0.
a. 6N = 0.00006 or, 5N = 0.00005 or, [5N] = 0.
b. 6N = 0.999 still 5N has to be <1, or, [5N] = 0. SUFFICIENT.

Answer: B.
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Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less  [#permalink]

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New post 27 Jun 2018, 07:01
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Re: Jamboree and GMAT Club Contest: [N] denotes the greatest integer less &nbs [#permalink] 27 Jun 2018, 07:01

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