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Remainder problem
Source: Beat The GMAT — Problem Solving |
I hope i can explain this....PGMAT wrote:What is the remainder when you divide 2^200 by 7?
A. 1
B. 2
C. 3
D. 4
E. 5
This mgmat Q.
Number remainder
2^3 1
2^4 2
2^5 4
2^6 1
2^7 2
2^8 4
So this 1,2,4 pattern repeats... and it repeats after every 3 numbers..means
Number remainder
2^3 1
2^6 1
2^9 1
2^12 1
Now lets find the biggest multiple of 3 below 200 its 198..so
2^198 1
2^199 2
2^200 4
Answer:D
Hope u understood...All the best..... It took some time for me to figure out but will not forget now this problem...thanks....
