How to find the Units Digit  
Re: How to find the Units Digit  
I am a new entrant to TG group .Beautiful! is what I have to say for all the articles I have read till now. Thank yoy TG sir 
Re: How to find the Units Digit  
Dear TG, I could not understand, how U solved the final problem. Could U please explain. ThankU Jagadish

Re: How to find the Units Digit  
Awsome dude ! Wish I was in Delhi. Could you plz explain the last problem. Thanks 
Re: How to find the Units Digit  
The last one can it be explained again through more examples ..please 
Re: How to find the Units Digit  
FUNDOO 
Re: How to find the Units Digit  
hi..article is good bt can u tell me hw find the unit digit of 7^{7^7^7^7^7^7^7......} plz do reply......... ^{} 
Re: How to find the Units Digit  
Hi Shuchi 7^{7^7...} = (8  1)^{odd} = 4k + (1)^{odd} = 4k  1 = 4k + 3. => 7^{4k + 3} = 7^{3} = 3 I hope i've not made any mistake this time. 
Re: How to find the Units Digit  
its good stuff.... 
Re: How to find the Units Digit  
Hi Vikas I got an easier approach 7^8^8^8... Now as the power of 7 is divisible by 4 so the power is in 4k format. 7^4k gives unit digit 7.. So 7 is the answer.. Cheers 
Re: How to find the Units Digit  
Yes you are correct with both answers.. Silly mistakes are integral part of my QA. Another eye opener.. Thank you Sharon 
Re: How to find the Units Digit  
you r most welcome dipanjan..........................

Re: How to find the Units Digit  
hi vikas, thankyou for the explanation....................i actually understood the solution only after reading your explanation............. 
Re: How to find the Units Digit  
Hi Sharon, Thanks for the response and appreciation, its good to hear that you understood my explaination. Thanks again 
Re: How to find the Units Digit  
Hi kamal, i have one query with ur soln i.e suppose k=1111 then 4*1111 = 4444 now 4444+3 = 4447 which implies last digit is 7 
Re: How to find the Units Digit  
thank you sir for wonderful information 
Re: How to find the Units Digit  
na na. 4447 is exponent . so our no. is 7^4447. and as explaind in theory unit digit will be that of 763. i.e. 3 
Re: How to find the Units Digit  
Can anybody tell me how to find out the unit digit of 7^18^18^18 using concept used in last example of theory... 
Re: How to find the Units Digit  
Hi Dipanjan 7^8^8^8....unit digit should be 1.....as 8^8^8...(4.2+0)^8^8...gives the reminder 0 once divisible by 4 . so 7^0...1 ans.. 
Re: How to find the Units Digit  
Hi Dipanjan
This is clearly mentioned in the theory abve when 7 is raised to power which is multiple of 4 gives units digit 1 
Re: How to find the Units Digit  
dipanjan and sharon u both have understood vikas wrongly. it would help u to read it again 
Re: How to find the Units Digit  
Kudos TG you Rock! 
Re: How to find the Units Digit  
hi sibsankar can you explain how 2^even number will give 0. thanks 
Re: How to find the Units Digit  
can you explain how 2^even number will give 0. thanks 
Re: How to find the Units Digit  
Hi.......... can any one post chapter wise questions for practice. to utilize the given methods. Regards Hussain 
Re: How to find the Units Digit  
Hi susmitha If you divide 2^even by 4 ; remainder will be 0; have u got it.... Thanks 
Re: How to find the Units Digit  
can u pls tell if at place of 11 there is 14 in question ^{} 
Re: How to find the Units Digit  
14 is even. So, 14^(any number greater than 1) leaves a remainder 0 when divided by 4. So, required units digit: 1 
Re: How to find the Units Digit  
Thanks seshu p after ur explaination now its clear thanks a lot 
Re: How to find the Units Digit  
@ sibsanakar....... plzz tell us how can 2^even no. (in ques 7^18^18^18) will @ last become 0???? plz reply.... 
Re: How to find the Units Digit  
I CAN"T UNDERSTAND YOUR LAST EXAMPLE. PLEASE EXPLAIN IT. I AM NEW TO TG AND IT IS STUPENDOUS.

Re: How to find the Units Digit  
I jus want to be clear wid one thing.. Will each and every number in the theorem ( i.e x ) will follow a cycle of 4??

Re: How to find the Units Digit  
hi kamal...I am new in TG.. could you please explain how came 4k+(1)odd from (81)odd 
Re: How to find the Units Digit  
Thanks sir.Plz post me number system1:remainder 
Re: How to find the Units Digit  
nice one fundoo bro keep pondering more articles 4 da students of gadha .com cheers. tg rockzzzzzzzzzzz 
Re: How to find the Units Digit  
If in case dere is no + sign in the last term den dere r total 3 terms in the expression accordin to which the ans wud b... 3+3+5 = 11 Hence unit digit 1... 
Re: Logic Based Quant Question  
Hi Pallav!!! Is d answer to ur question 15 ie option e ??? Do tell me the correct answer... Netra 
Re: Logic Based Quant Question  
e) 15 is it correct??? 
Re: How to find the Units Digit  
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Re: How to find the Units Digit  
Hello Netra..could you pls. help me understand, how did u get unit digit of 73249819367)^443^2153815365^27186872136876 as 1 ? Thanks! Moksh 
Re: Logic Based Quant Question  
Hi Pallav It must be 15 only. 
Re: Logic Based Quant Question  
HI Pallav, Can u plese provide me the solution.. 
Re: How to find the Units Digit  
Ya, 15 is correct : ) Kamal Sir, I have learned so much from you at the workshop. Looking forward to the next one .. 
Re: How to find the Units Digit  
thanx a lot for explaining. this is the best explaination that helped me understand the concept once and for all. 
Re: How to find the Units Digit  
sir here is 7^odd which means it may be 7^1 or 7^3 both give different results then how can we say that it would be 3. 
How to find the Units Digit  
What is unit's digit of (2^3^4^5^6) + (3^4^5^6^7)? I got answer as a 3.. but i am not confirm 
Re: How to find the Units Digit  
Gayatri, Your answer is correct. 
Re: How to find the Units Digit  
Can You please provide the solution for 8^10^12^14 unit digit by above method 
Re: How to find the Units Digit  
Richa is from Infosys? 
Re: How to find the Units Digit  
Can You please provide the solution for 8^10^12^14 unit digit by above method Is the answer 6? :s 
Re: How to find the Units Digit  
and how did u get the ans? yup.. from infy 
Re: How to find the Units Digit  
sir this article is really good i wanted to know the solution for8^10^^12^14 
Re: How to find the Units Digit  
A small doubt on case 1 and case 2 conditions: Y or X which one we need to check whether it is odd or even ? I think it is X. 
Re: How to find the Units Digit  
Hi Gayatri, Can u please elaborate on how did u get 3 as an answer to What is unit's digit of (2^3^4^5^6) + (3^4^5^6^7)? 
Re: How to find the Units Digit  
12^13^14^15 find unit digit of above expression 