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# (36^3 + 36) / 36 =

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Math Expert
Joined: 02 Sep 2009
Posts: 64249
(36^3 + 36) / 36 =  [#permalink]

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29 Feb 2016, 12:19
1
2
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:49) correct 15% (01:06) wrong based on 358 sessions

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(36^3 + 36)/36 =

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

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##### Most Helpful Expert Reply
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4879
Location: Canada
GMAT 1: 770 Q49 V46
Re: (36^3 + 36) / 36 =  [#permalink]

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29 Feb 2016, 13:02
5
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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Manager
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Posts: 114
Location: Hong Kong
GMAT 1: 750 Q50 V41
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Re: (36^3 + 36) / 36 =  [#permalink]

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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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11 Jan 2019, 10:20
The equation can be written as 36*(36^2+1)/36= 36^2+1
Now, without performing any calculation, we know that the unit digit of any no. ending in 6 is 6.
and since we have to add 1 to the no., the final no. will be having 7 as unit's digit.Thus, 1297,the only option.
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Re: (36^3 + 36) / 36 =  [#permalink]

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11 Jan 2019, 10:23
Bunuel wrote:
(36^3 + 36)/36 =

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

$$\frac{(36^3 + 36)}{36}$$

$$= \frac{36(36^2 + 1 )}{36}$$

$$= (36^2 + 1 )$$

Now, we don't even need to calculate, the units digit of 36^2 will be 6 add 1 to it, units digit will be 7 , Among the given options only (C) fits in perfectly, hence Answer must be (C)
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Thanks and Regards

Abhishek....

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Re: (36^3 + 36) / 36 =   [#permalink] 11 Jan 2019, 10:23

# (36^3 + 36) / 36 =

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