## Gayatri Vidya Parishad student Interview Question for Students

Country: India
Interview Type: In-Person

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of 0 vote

If I understand the question correctly, then such a number does not exist.
2*3*4*5*6 = 720, and the number (X*720) will have more digits than the original number (X).

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the no. exists I got it. i think you didn't get the question. suppose take an example no. as 128. if we multiply 128 with 2 to 6 numbers i.e.., 128*2 or 128*3 or 128*4 or 128*5 128*6 then we have to get either 281 or 182 or 812 or 218 or 821 means permutations of 128.

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Yeah, this is not an easy problem to solve outright by logic. So far all I've determined is that this number would have to have a fair amount of digits and begin with 1. Also, if one such number exists, infinitely many do, as you could add any number of zeros at the end.

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22/7=3.142857142857142857142857142857

1 × 142,857 = 142,857
2 × 142,857 = 285,714
3 × 142,857 = 428,571
4 × 142,857 = 571,428
5 × 142,857 = 714,285
6 × 142,857 = 857,142

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it can be 1/7 also. i.e.., 1/7=0.142857142857142857

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the value of pie also same like 3.14

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of 0 vote

I thought the question was asking for multiplication with ALL numbers 2..6.

Yes, such number exists.
142857 (1428570, 14285700, 142857000) is a good example, anyone can share a way to logically find such numbers (like a rule with pen and paper).

here are some more:
142857
142857 x 2 = 285714
142857 x 3 = 428571
142857 x 4 = 571428
142857 x 5 = 714285
142857 x 6 = 857142

1428570
1428570 x 2 = 2857140
1428570 x 3 = 4285710
1428570 x 4 = 5714280
1428570 x 5 = 7142850
1428570 x 6 = 8571420

1429857
1429857 x 2 = 2859714
1429857 x 3 = 4289571
1429857 x 4 = 5719428
1429857 x 5 = 7149285
1429857 x 6 = 8579142

14285700
14285700 x 2 = 28571400
14285700 x 3 = 42857100
14285700 x 4 = 57142800
14285700 x 5 = 71428500
14285700 x 6 = 85714200

14298570
14298570 x 2 = 28597140
14298570 x 3 = 42895710
14298570 x 4 = 57194280
14298570 x 5 = 71492850
14298570 x 6 = 85791420

14299857
14299857 x 2 = 28599714
14299857 x 3 = 42899571
14299857 x 4 = 57199428
14299857 x 5 = 71499285
14299857 x 6 = 85799142

142857000
142857000 x 2 = 285714000
142857000 x 3 = 428571000
142857000 x 4 = 571428000
142857000 x 5 = 714285000
142857000 x 6 = 857142000

142985700
142985700 x 2 = 285971400
142985700 x 3 = 428957100
142985700 x 4 = 571942800
142985700 x 5 = 714928500
142985700 x 6 = 857914200

142998570
142998570 x 2 = 285997140
142998570 x 3 = 428995710
142998570 x 4 = 571994280
142998570 x 5 = 714992850
142998570 x 6 = 857991420

142999857
142999857 x 2 = 285999714
142999857 x 3 = 428999571
142999857 x 4 = 571999428
142999857 x 5 = 714999285
142999857 x 6 = 857999142

1428570000
1428570000 x 2 = 2857140000
1428570000 x 3 = 4285710000
1428570000 x 4 = 5714280000
1428570000 x 5 = 7142850000
1428570000 x 6 = 8571420000

1429857000
1429857000 x 2 = 2859714000
1429857000 x 3 = 4289571000
1429857000 x 4 = 5719428000
1429857000 x 5 = 7149285000
1429857000 x 6 = 8579142000

1429985700
1429985700 x 2 = 2859971400
1429985700 x 3 = 4289957100
1429985700 x 4 = 5719942800
1429985700 x 5 = 7149928500
1429985700 x 6 = 8579914200

1429998570
1429998570 x 2 = 2859997140
1429998570 x 3 = 4289995710
1429998570 x 4 = 5719994280
1429998570 x 5 = 7149992850
1429998570 x 6 = 8579991420

1429999857
1429999857 x 2 = 2859999714
1429999857 x 3 = 4289999571
1429999857 x 4 = 5719999428
1429999857 x 5 = 7149999285
1429999857 x 6 = 8579999142

Looks like 142xxxx857 is a pattern, where xxxx can be any number of 9 (digit 9).

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