Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 121)
121.
What is the unit digit in the product (365 x 659 x 771)?
Answer: Option
Explanation:
Unit digit in 34 = 1 
Unit digit in (34)16 = 1
Unit digit in 365 = Unit digit in [ (34)16 x 3 ] = (1 x 3) = 3
Unit digit in 659 = 6
Unit digit in 74 Unit digit in (74)17 is 1.
Unit digit in 771 = Unit digit in [(74)17 x 73] = (1 x 3) = 3
Required digit = Unit digit in (3 x 6 x 3) = 4.
Discussion:
39 comments Page 1 of 4.
Himanahu said:
3 years ago
I think the answer is 1.
(1)
A.Nithish said:
4 years ago
@All.
According to me, the solution is;
3^65 * 6^59 * 7^71=?
The cycle city of 3 is 4=1
The cycle city of 6 is 1=6
The cycle city of 7 is 4=3
1* 6 * 3,
6 * 3 = 18 = 8/2 = 4.
According to me, the solution is;
3^65 * 6^59 * 7^71=?
The cycle city of 3 is 4=1
The cycle city of 6 is 1=6
The cycle city of 7 is 4=3
1* 6 * 3,
6 * 3 = 18 = 8/2 = 4.
(3)
Arun Kumar Behera said:
4 years ago
Thank you @Jyoti.
Helpful explanations create value for me.
Helpful explanations create value for me.
Anonymous said:
4 years ago
Thanks @Jyothi.
Nikki said:
4 years ago
Can you please explain step by step how 6^59=6?
(1)
Mons said:
5 years ago
Thanks @Jyothi.
Aparna said:
5 years ago
What is the unit digit in the product (4)^{66} x (6)^{59} x (5)^{71} ?
Sonu kumar said:
6 years ago
Nice, thanks all.
Havish said:
7 years ago
@All.
Any number to the power of 6 gives unit digit as 6. Right?
Any number to the power of 6 gives unit digit as 6. Right?
(2)
Havish said:
7 years ago
Unit digit of 7^71wxplantion:
7^7=49 in dis unit digit is 9
Then 7 multiplied by 49 leaves unit digit as 3,
Then 7 multiplied again gives 1,
Again 7 multiplied gives 7.
Repaet d order like : 9,3,1,7,9,3,1,7,9,3,1,7
In the order, 11th place gives 1 which would be identical to 7^71.
Ex: lf it's 7^ 72 then the unit place would be 7.
7^7=49 in dis unit digit is 9
Then 7 multiplied by 49 leaves unit digit as 3,
Then 7 multiplied again gives 1,
Again 7 multiplied gives 7.
Repaet d order like : 9,3,1,7,9,3,1,7,9,3,1,7
In the order, 11th place gives 1 which would be identical to 7^71.
Ex: lf it's 7^ 72 then the unit place would be 7.
(1)
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