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Sub 505 (Easy)|   Arithmetic|      
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Bunuel
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(36^3 + 36) / 36 = 29 Feb 2016, 13:19
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

84% (00:49) correct 16% (01:14) wrong based on 564 sessions

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(36^3 + 36)/36 =

A) 216
B) 1216
C) 1297
D) 1333
E) 1512
ShowHide Answer
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C
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(36^3 + 36) / 36 = Updated on: 02 Jul 2022, 08:25
Originally posted by BrentGMATPrepNow on 29 Feb 2016, 14:02.
Last edited by BrentGMATPrepNow on 02 Jul 2022, 08:25, edited 1 time in total.
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Bunuel
\(\frac{36^3 + 36}{36} =\)

A) 216
B) 1216
C) 1297
D) 1333
E) 1512
Show more
Useful property: \(\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}\)


So, \(\frac{36^3 + 36}{36} = \frac{36^3}{36} + \frac{36}{36} \)

\(= 36^2 + 1 \)

= 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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(36^3 + 36) / 36 = 29 Feb 2016, 21:25
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Bunuel
(36^3 + 36)/36 =

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

\((36^3 + 36)/36\)
= \([36(36^2 + 1)]/36\)
= \(36^2 + 1\)
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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(36^3 + 36) / 36 = 11 Jan 2019, 11:20
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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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(36^3 + 36) / 36 = 11 Jan 2019, 11:23
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Bunuel
(36^3 + 36)/36 =

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

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

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

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

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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(36^3 + 36) / 36 = 17 Dec 2025, 19:21
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