2 കൊണ്ട് ഹരിച്ചാൽ ശിഷ്ടം 4വരുന്ന എത്ര 3 അക്ക സംഖ്യകൾ ഉണ്ട്?
Answers
Given : 3 Digit number on Dividing by 4 leaves remainder 2
To Find : How many numbers
Solution:
Number N on Dividing by 4 leaves remainder 2
=> N = 4A + 2 where N & A are integers
3 Digit number
=> 100 ≤ N ≤ 999
Substitute N = 4A + 2
=> 100 ≤ 4A + 2 ≤ 999
=> 98 ≤ 4A ≤ 997
=> 98 /4 ≤ A ≤ 997/4
=> 24.5 ≤ A ≤ 249.25
A is integer
=> 25 ≤ A ≤ 249
Numbers of A = 249 - 25 + 1 = 225
There are 225 , 3 digits numbers which on dividing by 4 leaves remainder 2
102 , 106 , ......................................................., 994 , 998
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