Logic Puzzles

11. Try This

A number has 2 at its unit place ,when it is doubled we get the same number but 2 shifted from unit place to starting of number. Find the number

Submitted by birju · Added 22 March 2010

Solution:

The smallest number that satisfies the condition of having a 2 at its unit place and, when doubled, results in the same digits with the 2 shifted to the front is 105263157894736842. When this number is multiplied by 2, it becomes 210526315789473684, which confirms the condition.


Comments (5)

PrasadMullangi 4 May 2010

10875492 X 2 = 21750984

Result having same digits as the original number.

cheers,
Prasad.

birju 5 May 2010

the number will be same as it was only 2 shifted frm unit place to starting of number.... wat u gave is number with same digits bt in some random order which is not correct

chandler 1 July 2010

Answer: 105263157894736842

Multiply this number by 2

105263157894736842 * 2 = 210526315789473684

Is there a number smaller than this which satisfies the condition?

puzzler123 5 November 2010

Isn't 12 * 2 = 24 the answer ??.

cat 6 July 2011

105263157894736842 is the smallest number that works, because 526315789473684 is the smallest number which when multiplied by 19 equals a number that is all nines followed by a six (9999999999999996 in this case).

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