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USE CODE: chait6

				   

the last digit of 2137^754 is.....


a) 1

b)3

c)7

d) 9

6 years ago

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Answers : (5)

										

8

6 years ago
										

bhaiya yeh toh option hi nahi hai !!!!!!!!!  please also explain how you reached that answer whenever you post a reply.

6 years ago
										Dear mihir
2137^754=(2130+7)^754
on binomial expansion,we find that the first teram is not divisible by 10 while others are divisible by 10..
SO only first term will contribute to last digit..
the first term is 7^754
the last digit of this will be the last digit of given question.'
now observe the last digit in following arguments.
7^1=7,
7^2=49,
7^3=513
7^4=last digit being 1
and then the last digits repeat
the last digits are 7,9,3,1,7,9,3,1,
SO 7^(4n+1)---last digit is 7
7^(4n+2)---- last digit is 9
so on dividing 754 by 4 we get 2 as remainder...
so the last digit will be 9...
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All the best mihir !!!
Regards,
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Sahil Arora
IIT Delhi
6 years ago
										
units of 7754=7377*72​​                                                                                                                          therefore 72=49 and the units digit of it is 9
2 years ago
										Since we can see the 7^1=7 7^2=49 7^3=343=7^4has it`s unit digit 1 so now see for 752 the unit digit=1 now for 753unitdigit=7 754unit digit =9
										
2 months ago

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