UPSC Exam > UPSC Questions > What is the unit digit in 7105?a)1b)5c)7d)9Co...
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What is the unit digit in 7105 ?
- a)1
- b)5
- c)7
- d)9
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C...
Explanation:
Unit digit in 7105 = Unit digit in [ (74)26 x 7 ]
But, unit digit in (74)26 = 1
Unit digit in 7105 = (1 x 7) = 7Most Upvoted Answer
What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C...
Solution:
To find the unit digit of 7105, we need to look at the pattern of the unit digits of powers of 7.
Power | Unit digit
------|-----------
7^1 | 7
7^2 | 9
7^3 | 3
7^4 | 1
7^5 | 7
7^6 | 9
7^7 | 3
7^8 | 1
7^9 | 7
7^10 | 9
As we can see from the pattern, the unit digit of 7^n repeats after every four powers. Since 7105 is one more than a multiple of four (7104), its unit digit will be the unit digit of 7^1, which is 7.
Therefore, the correct answer is option C, 7.
To find the unit digit of 7105, we need to look at the pattern of the unit digits of powers of 7.
Power | Unit digit
------|-----------
7^1 | 7
7^2 | 9
7^3 | 3
7^4 | 1
7^5 | 7
7^6 | 9
7^7 | 3
7^8 | 1
7^9 | 7
7^10 | 9
As we can see from the pattern, the unit digit of 7^n repeats after every four powers. Since 7105 is one more than a multiple of four (7104), its unit digit will be the unit digit of 7^1, which is 7.
Therefore, the correct answer is option C, 7.
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What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C...
The difference between the local value and the face value of 6 in the numerical 586723
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What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C'. Can you explain this answer?.
What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the unit digit in 7105?a)1b)5c)7d)9Correct answer is option 'C'. Can you explain this answer?.
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