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(36^3 + 36) / 36 =

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Joined: 02 Sep 2009
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Kudos [?]: 135613 [0], given: 12705

(36^3 + 36) / 36 = [#permalink]

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New post 29 Feb 2016, 12:19
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (00:31) correct 18% (00:49) wrong based on 214 sessions

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Kudos [?]: 135613 [0], given: 12705

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Joined: 11 Sep 2015
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Kudos [?]: 2749 [3], given: 364

Location: Canada
Re: (36^3 + 36) / 36 = [#permalink]

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New post 29 Feb 2016, 13:02
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Bunuel wrote:
(36³ + 36)/36 =

A) 216
B) 1216
C) 1297
D) 1333
E) 1512


(36³ + 36)/36 = 36³/36 + 36/36
= 36² + 1
= some number ending in 6 + 1
= some number ending in 7

Answer: C (since it's the only answer that has 7 as its units digit)

Cheers,
Brent
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Re: (36^3 + 36) / 36 = [#permalink]

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New post 29 Feb 2016, 20:25
Bunuel wrote:
(36^3 + 36)/36 =

A) 216
B) 1216
C) 1297
D) 1333
E) 1512


\((36^3 + 36)/36\)
= \([36(36^2 + 1)]/36\)
= \(36^2 + 1\)
We know that when the units digit of the base is \(6\) and the exponent is \(2\), then the unit digit of the square of the base will also be \(6\).
hence, the unit digit of \((36^2 + 1)\) will be \(7\) (i.e. \(6 + 1\)).
Looking at the answer choices, we observe that only answer choice C has \(7\) in the units digit.
The correct answer, therefore, is C

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Re: (36^3 + 36) / 36 = [#permalink]

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New post 16 Oct 2017, 06:00
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Kudos [?]: 287 [0], given: 0

Re: (36^3 + 36) / 36 =   [#permalink] 16 Oct 2017, 06:00
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