Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 10)
10.
What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
0 
2
3
5
Answer: Option
Explanation:

Unit digit in (6374)1793 = Unit digit in (4)1793

    = Unit digit in [(42)896 x 4]

    = Unit digit in (6 x 4) = 4

Unit digit in (625)317 = Unit digit in (5)317 = 5

Unit digit in (341)491 = Unit digit in (1)491 = 1

Required digit = Unit digit in (4 x 5 x 1) = 0.

Discussion:
125 comments Page 4 of 13.

Ahankar said:   8 years ago
Simply, We have to take last digit of every number so by taking last number as 4, 5, 1. Now multiply these 4*5*1=20 so now take last digit of answer so it is 0 (zero).

Himanshi said:   8 years ago
Consider this:

For,x=Odd, the unit place for 4^x is 4. The unit place for 5^x is 5, The unit place for 1^x is 1.
and x=Even, the unit place for 4^x is 6. The unit place for 5^x is 0, The unit place for 1^x is 1.

=>unit place means the digit present at the one's place(rightmost digit) of a number.

Sabu said:   8 years ago
Understand the answer, Thank you, @Seema.

Harshal said:   9 years ago
In simpler manner for 4^x.
For,x=Odd unit place is 4.
and x=Even unit place is 6.

Raj said:   9 years ago
Thanks @Jhansi.

Teju said:   9 years ago
Thanks @Sowjanya.

Sowjanya said:   9 years ago
There is simply way to get this answer.

{(6374)1793*(625)317*(314 )491)}.
Unit place is the last number.
4 * 5 * 1 = 20.
Last digit is 0.

Hemant said:   10 years ago
How - (5)^317 = 5?

I solved - (5^2)^158 * 5 it gives unit digit 0.

Reshma said:   10 years ago
Thank you @Nidhin M Z.

Apurva Raj said:   10 years ago
Anybody can find the remainder of this question (5^625) /7?


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