Latest TCS Aptitude Question SOLUTION: A 10 digit positive number is said to be a“LearnHub”number if its digits are alldistinct and it is a multiple of 11111. Howmany “LearnHub” numbers are there?

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(91) TCS Company Profile

(#M40011906) TCS question unsolved Keep an EYE

A 10 digit positive number is said to be a“LearnHub”number if its digits are alldistinct and it is a multiple of 11111. Howmany “LearnHub” numbers are there?

Asked In TCS surajit nag (12 years ago)

Unsolved Read Solution (3)

Is this Puzzle helpful?   (3)   (1) Submit Your Solution

Read Solution (3) :

Rituraj  (12 years ago)

10 digit number and all digits distinct
Sum of digits = 45
Number is divisible by 9

Number is divisible by 99999
If number is of form abcdefghij, then

abcde + fghij = 99999
a + f = b + g = c + h = d + i = e + j = 9
We have 5 such pairs (0, 9), (1, 8 ), (2, 7), (3, 6), (4, 5)

So, we can choose abcde in 9*8*6*4*2 = 3456 ways as leading zero is not permitted.
a can have value from 1 to 9 and corresponding value of f is also fixed.
b can have value from balance 8 values ( leaving values fixed for a and f from 0 to 9) and corresponding value of g is also fixed.
..
..
Once abcde is chosen, fghij is automatically chosen

So, 3456 such numbers

Is this solution Helpfull? Yes (4) | No   

Archana   (12 years ago)

plz type the question properly

Is this solution Helpfull? Yes (1) | No (3)  

juhi sharma  (12 years ago)

type ques crctly..

Is this solution Helpfull? Yes (1) | No (3)  

Please Login to Read Solution.