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(36^3 + 36) / 36 =

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Math Expert
Joined: 02 Sep 2009
Posts: 47220
(36^3 + 36) / 36 =  [#permalink]

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29 Feb 2016, 13:19
00:00

Difficulty:

5% (low)

Question Stats:

83% (00:31) correct 17% (00:46) wrong based on 262 sessions

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(36^3 + 36)/36 =

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

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Joined: 12 Sep 2015
Posts: 2637
Re: (36^3 + 36) / 36 =  [#permalink]

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29 Feb 2016, 14:02
3
2
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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29 Feb 2016, 21:25
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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16 Oct 2017, 07:00
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Re: (36^3 + 36) / 36 = &nbs [#permalink] 16 Oct 2017, 07:00
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