Latest TCS Aptitude Question SOLUTION: remainder when 1212121212.......(upto 300 digits) is divided by 99?

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remainder when 1212121212.......(upto 300 digits) is divided by 99?

Asked In TCS Arun Patel (9 years ago)

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Krishnendu Dutta  (9 years ago)

Taking 1st 4 digits
1212/99 and the remainder is 24

now 12121212/99 = remainder 48 = 2*24

so for 300/4 digits = remainder = 75*24 =1800/99=18
so, 18 is the answer

Is this solution Helpfull? Yes (31) | No (1)  

riya  (9 years ago)

121212.......... 300
means 12 is repeating 150 times
12*150 is 1800
while dividing by 99 we get 18

Is this solution Helpfull? Yes (12) | No   

ankit  (9 years ago)

The we first start from the right hand side of the number taking two digits at a time and find their sum.

So, we get: 67 + 45 + 23 + 01 = 136.

Now, when 136 is divided by 99, the remainder is 37.

So, the remainder when 1234567 is divided by 99, the remainder is 37.

We use the similar method for finding the remainder when the number 121212......300 times is divided by 99.

Note that if we take two digits at a time, starting from the right hand side, then everytime we will get the number 12 and since the given number is a 300 digit number, 12 will be added 150 times and so the sum obtained will be (12) * (150) = 1800 and this number, when divided by 99, the remainder will be 18, which is the required remainder.

Hence, when the number 1212121212 ............. 121212 (300 times) is divided by 99, the remainder is 18.

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karthiga  (9 years ago)

12/99 remainder is 12
upto 300 digits so 12 is 150
12*150 = 1800/99 =remainder is 18

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Tamal Chakraborty  (9 years ago)

Ans- 14

12121212...................212 (up to 300th digit)

212/99 gives reminder 14

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Mragendra  (5 years ago)

Answer is 23..

Remainders from 3rd digit onwards will be 22, 23, 32, 23, 32, 23 and so on.. thereby ending at 23 on 300th Digit..

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