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If R = M/N, is R ≤ M? (1) M > 40 (2) 0 < N ≤ 15

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If R = M/N, is R ≤ M? (1) M > 40 (2) 0 < N ≤ 15  [#permalink]

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New post 31 Oct 2018, 23:20
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

45% (01:04) correct 55% (01:28) wrong based on 31 sessions

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Re: If R = M/N, is R ≤ M? (1) M > 40 (2) 0 < N ≤ 15  [#permalink]

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New post 31 Oct 2018, 23:56
Bunuel wrote:
If R = M/N, is R ≤ M?

(1) M > 40
(2) 0 < N ≤ 15


R = M/N can we re-written as...
R*N = M

Now, if N = 1 -> R = M.

N>1 -> R <M ... ( R multiplied by something larger than 1 is equal to M means R was less than M to begin with)

So for R ≤ M -> N >= 1

St1. Not sufficient as no info about N.

St2. Not sufficient as N could be less than 1 or greater than 1.

(1) + (2) together gives no more information.

Hence, Option (E) is our choice.

Best,
Gladi
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Re: If R = M/N, is R ≤ M? (1) M > 40 (2) 0 < N ≤ 15  [#permalink]

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New post 02 Nov 2018, 06:45
Statement 1) Let's take M as 45.

R = \(\frac{45}{N}\)

If N = 1, then R = 45 --> \(R\leq{M}\) --> True

If N = \(\frac{1}{3}\), then R = 130 --> \(R\leq{M}\) --> Not True. INSUFFICIENT

Statement 2) No M value. So clearly INSUFFICIENT

1) + 2) Both the values of N = 1 and \(\frac{1}{3}\) fall in the range of \(0<N\leq{15}\). Still we dont have a unique answer.

OPTION : E
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Chaitanya


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Re: If R = M/N, is R ≤ M? (1) M > 40 (2) 0 < N ≤ 15 &nbs [#permalink] 02 Nov 2018, 06:45
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