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What is the number that is divided by 2 the remainder is 1, divided by 3 the remainder is 2, divided by 4 the remainder is 3 ...............................divided by 10 remainder is 9.


note; it is only one number

2006-11-08 21:44:33 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

If you observe,the difference between divisors(i.e.,2,3,4 and 10) and their respective remainders(1,2,3,9) is 1.(2-1=1, 3-2=1,4-3=1 and 10-9=1).
In such cases take LCM of 2,3,4 and 10,i.e.,60 and subtract the difference,i.e.,1. So,60-1 = 59.You can also get the subsequent numbers by multiplying 60 by a +ve integer and subtracting the common difference(i.e.,1).So next number is (60*2) - 1 and the one next to it is (60*3)-1

Regards,

2006-11-08 23:06:12 · answer #1 · answered by megh 1 · 0 0

Guess the number is n.
If n divided by 2, the remainder is 1, means n is odd.

Divided by 3 and remainder is 2. n belongs to the collection {2,5,8,11,14,...}
Since n is odd you get only: n is in A = {5,11,17,23,29,...}

divided by 4 the remainder is 3 gives the collection B = {3,7,11,15,19,23,...}
The common elements of the collections A and B is the collection
C = {11,23,35,47,59,...}

... by 10 remainder is 9 is the collection D = {9,19,29,39,49,59,...}

The smallest common number in C and D is 59.
That is the number you want, I guess. You can check it is alright.

Th

2006-11-09 07:09:20 · answer #2 · answered by Thermo 6 · 0 0

59 mod 2 = 1
59 mod 3 = 2
59 mod 4 = 3
59 mod 5 = 4
59 mod 6 = 5
59 mod 10 = 9

2006-11-09 06:56:34 · answer #3 · answered by safrodin 3 · 0 0

the answer is 59.

Because
59/2 = 29 r 1
59/3 = 19 r 2
59/4 = 14 r 3
59/10= 5 r 9

2006-11-09 06:42:21 · answer #4 · answered by natalie v 1 · 0 1

59

i give up

2006-11-09 05:48:46 · answer #5 · answered by tma 6 · 0 0

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