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Number Theory Related Questions by Balaji
Number Theory Related Questions by Balaji
2
Balaji
Senior Member
Posts:
107
Threads:
71
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43
08-08-2014, 10:24 PM
Düzenlendi
#1
(55555.......2013 times ) divided by 440, what is the remainder ?
a) 5
b) 155
c) 115
d) 125
answer choice c
solution
N/8 remainder =3
N/5 remainder =0
N=8k+3
N can take -27,115,203,291,379
N=440c + 115
Balaji
Senior Member
Posts:
107
Threads:
71
Reputation:
43
08-08-2014, 10:29 PM
Düzenlendi
#2
The product of two non-coprime number is 1080. how many such pairs are possibles ?
a) 16
b) 4
c) 12
d) 15
answer choice c
solution
a*b=1080
no of factors =4*4*2=32
no of ways of writing 1080 as a product of two non coprime no = 16-4=12
Balaji
Senior Member
Posts:
107
Threads:
71
Reputation:
43
08-08-2014, 10:37 PM
Düzenlendi
#3
(234)
n
(1ab)
n
/(b21)
n
find (a+b)
a) 11
b) 8
c) 7 or 11
d) 9
answer choice d
solution
4+b=n+1
where b=4
8=n+1
n=7
4+a=n+2
4+a=9
a=5
a+b=9
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