If n is an integer and 100 < n <200, what is the value : DS Archive
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# If n is an integer and 100 < n <200, what is the value

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If n is an integer and 100 < n <200, what is the value [#permalink]

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01 Oct 2007, 05:39
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If n is an integer and 100 < n <200, what is the value of n?
(1) n/36 is an odd integer.
(2) n/45is an even integer.
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01 Oct 2007, 06:28
100 < n <200 what is the value of n ?

statement I

n/36 is an odd integer.

n = 1*36 = too small
n = 3*36 = 108
n = 5*36 = 180
n = 7*36 = too big

insufficient

statement II

n/45 is an even integer.

n = 2*45 = too small
n = 4*45 = 180
n = 6*45 = too big

sufficient

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01 Oct 2007, 06:36
St1:
n/36 = (2k+1)
n = 36(2k+1)

If k = 1, n = 108
If k = 2, n = 180

more than 1 possibility. Insufficient.

St2:
n/45 = 2k
n = 45(2k)

If k = 1, n = 90 (out of range)
If k = 2, n = 180
If k = 3, n = 270 (out of range)
So n must be 180. Sufficient.

Ans B
01 Oct 2007, 06:36
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# If n is an integer and 100 < n <200, what is the value

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