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

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
If R = M/N, is R ≤ M? (1) M > 40 (2) 0 < N ≤ 15  [#permalink]

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01 Nov 2018, 00:20
00:00

Difficulty:

65% (hard)

Question Stats:

57% (01:38) correct 43% (01:47) wrong based on 37 sessions

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If R = M/N, is R ≤ M?

(1) M > 40
(2) 0 < N ≤ 15

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

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01 Nov 2018, 00:56
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.

Hence, Option (E) is our choice.

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

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02 Nov 2018, 07:45
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   [#permalink] 02 Nov 2018, 07:45
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