# NUMBER SYSTEM - CAT 2013

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{We are what we repeatedly do. Excellence, therefore, is not an act but a habit.}
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@shattereddream
@shattereddream said:
151

can u please explain how you got that? I am raking my brains out yet I am no where near an answer!

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@praveen2010p said:
Q2: Find the 69th digit from the right in the expansion of 275!.
2
हिम्मत न हार मांजी तू जवानी में , ले चल अपनी नाव तू ग्हेहरे पानी में
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@praveen2010p said:
Q3: What is the maximum number that one cannot obtain as a linear combination of 9 and 20?
151
हिम्मत न हार मांजी तू जवानी में , ले चल अपनी नाव तू ग्हेहरे पानी में
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thanks vai, this was really good!! Appreciate it!

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@mitrakaushi 37 * 3 = 111

111 * 9 = 999

so take an small example like

123123

123 * 1000 + 123
= { 123 (999 +1) + 123 } / 37

so remainder wil be {123 *2 } / 37

in same manner

when 300 digits total pairs are 100

( 123 * 100) / 37

= 12 * -11 /37
= -132 /37

= -21

= 16

so remainder will be 16
all i know is sky is the limit....
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@praveen2010p
lekin kaise? hum ek aisa qstn kiya tha jaha pe 123123....(300 digits) ko 504(ya aisa hi kuch) number se divide karke remainder nikalna tha! waha 504=9*8*7 karke, fir sabko us prime factors se divide karke remainder nikala tha. Lekin 37 toh kuch zyaada ho gaya!!!
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@mitrakaushi i am sorry..it was my mistake ..but answer for the 123123.....wala question ka 16 hoga
all i know is sky is the limit....
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@praveen2010p
i thought of that too initially, correct me if i am worng but every even 123 when divided by 37 do not yield 0 as remainder!
eg: 123123/37 gives 24 as remainder!
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@mitrakaushi well, what i did..i grouped them into 3 so in total (123) will come 100 time...now for every even 123 you will get rem 0. so rem will be zero....
all i know is sky is the limit....
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