Latest TCS Aptitude Question SOLUTION: find the last two digits of 1831^4382+1871^3826?

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(#M40157152) TCS Numerical Ability question last two digits Keep an EYE

find the last two digits of 1831^4382+1871^3826?

Asked In TCS suba (7 years ago)

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Partha Sarathi Biswas  (7 years ago)

1831^4382 + 1871^3826 last two digits of this expression is equal to last two digits of
31^4382 + 71^3826 ( by using the concept of binomial theorem.)
=(30+1)^4382 + (70 +1)^3826
last two digits are formed by (4382*30) %100 + 1+ (3826*70) % 100 + 1 { again by the use of binomial theorem}
= 60 +1 + 20 + 1 = 82

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Haider Ali Siddiquee  (7 years ago)

ans will be 82.
1831*1831=last two digit will be 61 (don't need to multiply whole thing just multiply last two digits)
similarly
yyyy61*1831=zzzzzz91
zzzzzz91*1831= mmmmmmmm 21
nd so on
that make second last digit table of three
so 4382/10 remainder will be 2
from above easly we can see last two digit will be 61 from 1831^4382
similar for other one last two digit will be 21
therefore ans will be 21+61=82.

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Priyaj  (7 years ago)

ans= 82
rule for 1
31^4382=3*2,1=61
71^3826=7*2,1=21
61+21=82

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Prince jain  (7 years ago)

82
because in 1831 ^4382 last digit is always 1 then we multiply 3(second last digit of the number) with 2(last digit of the power) to find the second last digit so 3*2= 6
similarly we can find the last 2 digit of 1871^3826 (7*6 =42 so we take only 2 ) which is 21
now add these two last digit
61+21=82

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Vivek kumar sahoo  (7 years ago)

(first we take last digit of 1831=1 then last second digit multiply with power (4382) is 2 3*2=6)=61
similarly 21
61+21=82

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tasmir sahu  (7 years ago)

explain please

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Madhurima Kadakuntla  (7 years ago)

Answer :
82

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BALA SUBRAMANI.M  (7 years ago)

how it is 82?
explane it plz....................!!!!!!!!!!!!

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md samir  (7 years ago)

we can solve with cylindrical pattern.. the cylindrical pattern of 3,8,7 is 4. so ans will be 82.

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MARIAMMAL@MANJU.B  (7 years ago)

unit digit is 1 then one power anything is always one.then 1+1=2
ans:2

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mutyala surya prakash reddy  (7 years ago)

answer is 2.as the final unit is 1..and we kniw that 1^(any thing)is 1....in the both cases the last digit will be 1,,,,1+1=2

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supriya  (7 years ago)

use binomial here

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pallavi kumari  (7 years ago)

Ans is 2
Anything to the power 1 is 1,So 1+1=2

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