Latest self Aptitude Question SOLUTION: I take a four-digit number and subtract from it the sum of its digits. In the result I strike off one of the digits and the remaining three digits of the result are 2, 4 and 6 (not

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(#M40020935) SELF question Keep an EYE

I take a four-digit number and subtract from it the sum of its digits. In the result I strike off one of the digits and the remaining three digits of the result are 2, 4 and 6 (not necessarily in that order). Find the digit struck off by me.

vikash singh (10 years ago)

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mohan lal garg  (10 years ago)

Let us assume the four digit number as wxyz. Then in base system 10 it can written as 1000w + 100x + 10y + z. Now given that,

new number = 1000w + 100x + 10y + z - (w + x + y + z) = 999w + 99x + 9y which is a multiple of 9
Hence the sum of digits must be a multiple of 9.
Hence 2 + 4 + 6 + x is equal to either 9, 18, 27 ...
But if the sum is equal to 9 then x is negative number. Therefore x = 6

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BHANU SETHI  (10 years ago)

6 is the digit struck off bcoz if the 4 digit number is 4281 then the sum of its digits is 15 and 4281-15 is 4266 ,so if we struck off the units place digit i.e. 6,the remaining 3 digits are 2,4,6.

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