Page 40 - Numbertheory
P. 40
@ @@Hßìÿa@ö§aI@†a‡Èÿa@óî‹Åä@
4n [Mathcounts 1984] ( )
5 7 35 2
140 ( ) 138 ( ) 130 ( ) 128 ( )
. 5b 9 2a3 [AHSME 1967, MAӨ 2009] ( )
326
a +b 9 5b 9
8( ) 6( ) 4( ) 2 ()
20 [Mathcounts 2010] ( )
.
110 ( ) 108 ( ) 106 ( ) 104 ( )
18 ( ) 564 × 825 ( )
)
9 14 ( ) 10 ( ) 6 () )
)
AB9 [Mathcounts 2010] (
7 BA7
86 ( ) 62 ( ) 34 ( ) 31 ( )
.12b × 51b ×16b = (3146)b [AHSME 1967] (
.sb sb = 12b + 15b +16b
44 ( ) 42 ( ) 40 ( ) 38 ( )
AMC12 AMC10 [AMC10A 2003] (
. AMC 10 + A MC 12 = 123422
٢٧