Latest self Aptitude Question SOLUTION: Find the Unit’s digit in the product (76^41) * (41^14) * (14^87) * (87^76)

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(#M40001313) SELF question Keep an EYE

Find the Unit’s digit in the product (76^41) * (41^14) * (14^87) * (87^76)

Solution

units digit of 87^76 = 1 because 87^3n+1 has units place as 1
units digit of 14^87 = 4 because 14^(some odd no.) has units place as 4
units digit of 41^14 = 1 because 41^(some even no. )has units place as 1
units digit of 76^41 = 6 because 76^(any positive no.)has units place as 6
so , units digit of the product is = " 4 " (units digit of 1*4*1*6)
Answer of ATMAKURI JAGADISH is correct except one mistake

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suneil (13 years ago)

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atmakuri jagadish  (13 years ago)

units digit of 87^76 = 1 because 87^3n+1 has units place as 1
units digit of 14^87 = 4 because 14^(some odd no.) has units place as 4
units digit of 14^14 = 6 because 14^(some even no. )has units place as 6
units digit of 76^41 = 6 because 76^(any positive no.)has units place as 6
so , units digit of the product is = " 4 " (units digit of 1*4*6*6)

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smith kumar saha  (10 years ago)

unit digit of 87^76 is 7
@ atmakuri jagadish ,how it is coming 1....plzz explain

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