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)}?
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:
123 comments Page 5 of 13.
Nataraj said:
9 years ago
Please give the clarity to solve the problem.
Sravanthi said:
9 years ago
@Seema, you have done a good job.
RADHAKRISHNAN E said:
9 years ago
yes you are good @Seema.
RAGH said:
9 years ago
Find the product of the first 8 terms of a 15 number sequence whose 1st, 3rd, 5th numbers are 60, 45 and 30?
Renu said:
9 years ago
Thank you @Seema.
Bhavani said:
9 years ago
Thank you @Seema.
Karishma said:
9 years ago
896 * 2 = 1792.....?
Amrutha p nair said:
9 years ago
Friends. There is a simple way to get this answer.
Consider the unit digit means the last digit. Here in this question, 4 is the unit digit of 6374 and 5 is the unit digit of 625 and 1 is the unit digit of 341.
We want to find the unit digit. So avoid the other numbers.
So, the next step is a simple method we only using the logic behind the multiplication.
(4)^any odd no = 4.
(4)^any even no = 6.
(5)^any no = 5.
(1) any no =1 what I meant that.
4^1 = 4.
4^2 = 16.
4^3 = 64.
i.e, the unit digit are 4 & 6 and this is repeating. Did you get my point?
So by using this method.
(4) ^1793 * (5) ^317 * (1) ^491 = ?
4 * 5 * 1 = 20.
So the unit digit is 0.
Hope, this help you. Thank you.
Consider the unit digit means the last digit. Here in this question, 4 is the unit digit of 6374 and 5 is the unit digit of 625 and 1 is the unit digit of 341.
We want to find the unit digit. So avoid the other numbers.
So, the next step is a simple method we only using the logic behind the multiplication.
(4)^any odd no = 4.
(4)^any even no = 6.
(5)^any no = 5.
(1) any no =1 what I meant that.
4^1 = 4.
4^2 = 16.
4^3 = 64.
i.e, the unit digit are 4 & 6 and this is repeating. Did you get my point?
So by using this method.
(4) ^1793 * (5) ^317 * (1) ^491 = ?
4 * 5 * 1 = 20.
So the unit digit is 0.
Hope, this help you. Thank you.
Sai chandana said:
9 years ago
@Hemanth.
Your explanation was clear and good. Thanks!
Your explanation was clear and good. Thanks!
Shital said:
10 years ago
(209*144) ^2+ (209*209) + (209*144) + (144*144) =?
Please tell me.
Please tell me.
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