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# (36^3 + 36) / 36 =

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