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n is divided by 90

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by sanju09 » Wed May 02, 2012 4:21 am
If n is divided by 90, the remainder is 1. What are the remainders, respectively if n + 179 and n + 182 are each divided by 90?
(A) 89 and 3
(B) 89 and 2
(C) 0 and 3
(D) 0 and 2
(E) 2 and 3



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Source: — Problem Solving |

by neelgandham » Wed May 02, 2012 9:59 am
n is the form 90x + 1, where x is an integer greater than 0.
n + 179 = 90x + 1 + 179 = 90x + 180 = 90(x+2) = Multiple of 90.and
n + 182 = 90x + 1 + 182 = 90x + 183 = 90(x+2) + 3.

So, the answer is C 0 and 3
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by transfer9858 » Wed May 02, 2012 10:24 am
Here I just picked a random number for N, in this case 91.
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