Latest self Aptitude Question SOLUTION: Consider a number as follows..... 12345678910111213141516......37383940. This is nothing but numbers from 1 to 40 are written side by side to form a single number. Now what is

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(#M40017949) SELF question Apttude Keep an EYE

Consider a number as follows.....

12345678910111213141516......37383940. This is nothing but numbers from 1 to 40
are written side by side to form a single number.
Now what is the remainder when the number given above is divided by 36.

glory agarwal (11 years ago)

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Dr.Dipin Singh  (11 years ago)

24

In number
12345678910111213141516......37383940. This is nothing but numbers from 1 to 40
are written side by side to form a single number.

number is divisible by 4 as last 2 digits are 40.

sum of digits = 45*4 +1+2+3=186

For number to be divisible by 36, sum of digits should be divisible by 9 and last 2 digits should be divisible by 4.
To meet these conditions,
divisible number will be 24 less than
12345678910111213141516......37383940. so that last 40 is replaced by 16
and hence sum of digit becomes 189 and last 16 is divisible by 4 also.

so 24 will be remainder when 12345678910111213141516......37383940 is divided by 36.

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Vinay Sipani   (11 years ago)

sum of digits is not 186

sum of digits = (45*4) + (1+ 2 + 3)*10 + 4 = 244

244 / 9 => 1 is the remainder

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Vinay Sipani   (11 years ago)

6 will be the remainder

The nearest number to 123456....383940 which is divisible by 36 is
123456.....3637383934
Here 40 is replaced by 34
sum of all numbers = 189

=> remainder = (123456...37383940) - (123456...37383934) = 6

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