PROBLEM & SOLUTION OF NUMBER SYSTEM
Example.2) Write all possible three-digit numbers using the digits 0, 1, 2, 3, 4 & 5 when the digits are a) not repeated, b) repeated
Example.3) Find the smallest seven-digit numbers which is exactly divisible by 377
Ans.) as per the given condition, we can say that Seven digit number which is exactly divisible by 377 is = 1000000
377 ) 1000000 ( 3652
754
---------------
2460
2262
---------------
1980
1885
--------------
950
754
-------------
196
1000000 divided by 377 gives the remainder 196, so the required number must be greater than 1000000 by ( 377 – 196 ) = 181
Hence, the required number is ( 1000000 + 181 ) = 1000181 (Ans.)
Example.4) Find the largest/biggest five digit number which is exactly divisible by 377
Ans.) As per the given condition the five-digit largest/biggest number is 99999
377 ) 99999 ( 267
754
------------
2549
2262
-------------
2879
2639
-------------
240
99999 divided by 459 gives the remainder 240, hence the required number = 99999 – 240 = 99759 (Ans.)