Latest TCS Aptitude Question SOLUTION: What will be the unit digit of 1122^1122!

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What will be the unit digit of 1122^1122!

Asked In TCS TargetTCS 2014 (11 years ago)

Unsolved Read Solution (11)

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Kundan Kumar  (11 years ago)

1122! is a multiple of 4 as it contains 00 at the last two digit.
Now, using 4n rule.
4n+1 = ..2 (2^1=2)
4n+2=.. 4 (2^2=4)
4n+3=.. 8 (2^3=8)
4n= ... 6(2^4=16)
AS 1122! is multiple of 4
Hence unit digit will be 6

Is this solution Helpfull? Yes (23) | No (9)  

akash M  (11 years ago)

ans is 4
bcoz 1122^1122 is similar if we take 2^1122
now 2 has only 4 digits as last digits
i.e. 2
4
8
6
then these digits are repeated so divide 1122 by 4 and remainder is 2 therefore
ans is 4

Is this solution Helpfull? Yes (16) | No (14)  

abhinav  (11 years ago)

the last digit is playing around in the way like 2, 4, 8, 6
so all we fellas gonna doo is jst divide 1122 by 4 and viola!!! the remainder is the last term number which is 4

Is this solution Helpfull? Yes (6) | No (3)  

Kundan Kumar  (11 years ago)

1122! is a multiple of 4 as it contains 00 at the last two digit.
Now, using 4n rule.
4n+1 = 2 (2^1=2)
4n+2= 4
4n+3= 8
4n=6

Is this solution Helpfull? Yes (1) | No (6)  

Anuja Singh  (11 years ago)

ans will be 4.....

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Akhil Sharmaq  (11 years ago)

4 is the answer

Is this solution Helpfull? Yes | No (2)  

Dipanjana Dutta  (11 years ago)

the unit will be 4..

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Guru Pranav  (11 years ago)

cycle of power of 2 ,

Thus the unit digit is 2.

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varalakshmi  (10 years ago)

1122%4 remainder is 2
unit place is = 2^2=4

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GOWRABATHUNI RAJESH  (10 years ago)

1122^1122! can be written as (4^3!)^187!
when compared to the unit digit 4^3 the the 4 is obtained.

so answer is 4

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jiten choudhary  (10 years ago)

There is a property of factorial. Is that all the number greater then 4! Always divisible by 4 and always will be even. So 1122!%4 =0 that means repeation in 2 power is 2,4,8,6 means there is 0 remainder in 1122%4 so when there is no remainder in power of a number then we choose last repeated digit of 2 so 6 is last repeated digit

Hence ans is 6

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