A number. if it is divided by 2 reminder 1,
if it is divided by 3 reminder 1,
if it is divided by 4 reminder 1,
if it is divided by 5 reminder 1,
if it is divided by 6 reminder 1,
if it is divided by 7 reminder 1,
if it is divided by 8 reminder 1,
if it is divided by 9 reminder 1,
if it is divided by 10 reminder 1,
and if it is divided by 11 reminder 0.
its greater then 100. which is that number.
this puzzle has been appeared in one of written
test(aptitude for 20 marks).
Answers were Sorted based on User's Feedback
Answer / manish
for(int i=10;i<10000;i++){
int num=11*i,j=10;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
j--;
if(num%j==1){
System.out.println(num);
}
}
}
}
}
}
}
}
}
}
======================================================
Ans:
25201
52921
80641
108361
etc..
Is This Answer Correct ? | 0 Yes | 0 No |
Answer / shri1609
hi Mitulpanchal...
can you show your solution in detail.....
Is This Answer Correct ? | 2 Yes | 3 No |
Answer / aditya.sriavstava@gmail.com
the answer is 2521 its simple LCM comes out to be 2520 add one to it.
I have checked it by making a simple C program
#include<stdio.h>
#include<conio.h>
void main()
{
int i,c=0,num=100;
clrscr();
for(i=2;i<=10;i++)
{
c=num%i;
if(c!=1)
{
num++;
i=2;
}
printf("%d\n",c);
}
printf("%d",num);
getch();
}
this program reported 2521. and then i manually checked it. IT is correct.
Is This Answer Correct ? | 1 Yes | 2 No |
Answer / goodhood
Not to be a spoilsport. But for those it helps
25201, 52921, 80641, 108361, 136081, 163801, 191521, 219241, 246961, 274681, 302401, 330121, 357841, 385561, 413281, 441001, 468721, 496441, 524161, 551881, 579601, 607321, 635041, 662761, 690481, 718201, 745921, 773641, 801361, 829081, 856801, 884521, 912241, 939961, 967681, 995401, 1023121, 1050841, 1078561, 1106281, 1134001, 1161721, 1189441, 1217161, 1244881, 1272601, 1300321, 1328041, 1355761, 1383481, 1411201, 1438921, 1466641, 1494361, 1522081, 1549801, 1577521, 1605241, 1632961, 1660681, 1688401, 1716121, 1743841, 1771561, 1799281, 1827001, 1854721, 1882441, 1910161, 1937881, 1965601, 1993321, 2021041, 2048761, 2076481, 2104201, 2131921, 2159641, 2187361, 2215081, 2242801, 2270521, 2298241, 2325961, 2353681, 2381401, 2409121, 2436841, 2464561, 2492281, 2520001, 2547721, 2575441, 2603161, 2630881, 2658601, 2686321, 2714041, 2741761, 2769481, 2797201, 2824921, 2852641, 2880361, 2908081, 2935801, 2963521, 2991241, 3018961, 3046681, 3074401, 3102121, 3129841, 3157561, 3185281, 3213001, 3240721, 3268441, 3296161, 3323881, 3351601, 3379321, 3407041, 3434761, 3462481, 3490201, 3517921, 3545641, 3573361, 3601081, 3628801, 3656521, 3684241, 3711961, 3739681, 3767401, 3795121, 3822841, 3850561, 3878281, 3906001, 3933721, 3961441, 3989161, 4016881, 4044601, 4072321, 4100041, 4127761, 4155481, 4183201, 4210921, 4238641, 4266361, 4294081, 4321801, 4349521, 4377241, 4404961, 4432681, 4460401, 4488121, 4515841, 4543561, 4571281, 4599001, 4626721, 4654441, 4682161, 4709881, 4737601, 4765321, 4793041, 4820761, 4848481, 4876201, 4903921, 4931641, 4959361, 4987081, 5014801, 5042521, 5070241, 5097961, 5125681, 5153401, 5181121, 5208841, 5236561, 5264281, 5292001, 5319721, 5347441, 5375161, 5402881, 5430601, 5458321, 5486041, 5513761, 5541481, 5569201, 5596921, 5624641, 5652361, 5680081, 5707801, 5735521, 5763241, 5790961, 5818681, 5846401, 5874121, 5901841, 5929561, 5957281, 5985001, 6012721, 6040441, 6068161, 6095881, 6123601, 6151321, 6179041, 6206761, 6234481, 6262201, 6289921, 6317641, 6345361, 6373081, 6400801, 6428521, 6456241, 6483961, 6511681, 6539401, 6567121, 6594841, 6622561, 6650281, 6678001, 6705721, 6733441, 6761161, 6788881, 6816601, 6844321, 6872041, 6899761, 6927481, 6955201, 6982921, 7010641, 7038361, 7066081, 7093801, 7121521, 7149241, 7176961, 7204681, 7232401, 7260121, 7287841, 7315561, 7343281, 7371001, 7398721, 7426441, 7454161, 7481881, 7509601, 7537321, 7565041, 7592761, 7620481, 7648201, 7675921, 7703641, 7731361, 7759081, 7786801, 7814521, 7842241, 7869961, 7897681, 7925401, 7953121, 7980841, 8008561, 8036281, 8064001, 8091721, 8119441, 8147161, 8174881, 8202601, 8230321, 8258041, 8285761, 8313481, 8341201, 8368921, 8396641, 8424361, 8452081, 8479801, 8507521, 8535241, 8562961, 8590681, 8618401, 8646121, 8673841, 8701561, 8729281, 8757001, 8784721, 8812441, 8840161, 8867881, 8895601, 8923321, 8951041, 8978761, 9006481, 9034201, 9061921, 9089641, 9117361, 9145081, 9172801, 9200521, 9228241, 9255961, 9283681, 9311401, 9339121, 9366841, 9394561, 9422281, 9450001, 9477721, 9505441, 9533161, 9560881, 9588601, 9616321, 9644041, 9671761, 9699481, 9727201, 9754921, 9782641, 9810361, 9838081, 9865801, 9893521, 9921241, 9948961, 9976681
Is This Answer Correct ? | 0 Yes | 1 No |
Answer / paul
I have an excel macro solution for this problem.....The
answer will be displayed on A1 cell which is 2519....try it
and verify yourself...
Sub calculate()
Dim answer As Integer, z As Integer
z = 0
For x = 1 To 10000
For y = 1 To 10
a = x Mod y
If a = y - 1 Then
z = z + 1
End If
If y = 10 And z = 10 Then
answer = x
z = 0
x = 10001
End If
If y = 10 And z < 10 Then
z = 0
End If
If z < y Then
y = 10
z = 0
End If
Next y
Next x
Range("A1").Value = answer
End Sub
Is This Answer Correct ? | 1 Yes | 2 No |
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