Latest Elitmus Aptitude Question SOLUTION: what will be the sum of (202020202)^4 considering last 5 digits

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(#M40155448) ELITMUS Numerical Ability question Elitmus for accenture 14feb/16 Keep an EYE

what will be the sum of (202020202)^4 considering last 5 digits

Asked In Elitmus sugandha (8 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

dipikabhagat  (8 years ago)

2^4 (101010101)^4
Now Take last 5 digits 10101

10101^2= take last 5 digits of the result =30201 again 30201*10101=60301 last 5 digit
60301*10101=00401 last 5

Now 06416*2^4=06416 last 5 (ans)

Is this solution Helpfull? Yes (8) | No (3)  

Mallikarjuna Reddy  (8 years ago)

last five digits is remainder dividing 10^5
(202020202)^4 mod10^5
=>(20202)^4 mod10^5
=>(20202)^2(20202)^2 mod10^5
=>20804*20804 mod 10^5 since ABmodN=(AmodN*BmodN)modN
=>432806416 mod 10^5
06416 is the remainder and they are the last five digits
sum is 17

Is this solution Helpfull? Yes (7) | No   

nand  (8 years ago)

the ans. is = 17

Is this solution Helpfull? Yes (4) | No (1)  

ishant verma  (8 years ago)

considering last 5 digits and multiplying again with the last 5 digits of answer finally we get 62416 in last 5 digs as result which sums to 19 hence ans

Is this solution Helpfull? Yes (2) | No (1)  

N K jain  (8 years ago)

ans is 60960

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

Dunger lal  (8 years ago)

2^4 (101010101)^4
Now Take last 5 digits 10101

10101^2= take last 5 digits of the result =30201 again 30201*10101=60301 last 5 digit
60301*10101=00401 last 5

Now 004011*2^4=06416 last 5 (ans)

Is this solution Helpfull? Yes (1) | No (2)  

pratibha pandey  (7 years ago)

17 is the right ans
2^4*(101010101)^4 then after solving this eq. we get last 5 digit will be 06416.
after that the sum of last digit will be 17.

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sandeep  (7 years ago)

By the calculator ==1.6656325684300937290963763216064e+33
So answer is :1+6+0+6+4=17
according to trick---
202020202^4 = 2^4(101010101)^4
choose last five digits for 101010101=>10101^4
10101*10101=30201(take only last five digit)
30201*30201= 00401(take only last five digit)
so 16*00401=6416
->6+4+1+6=17

Is this solution Helpfull? Yes | No (1)  

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