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Arrange the following terms in the increasing order of their units digits:
I. 75
II. 86
III. 123
- a)I < II < III
- b)I < III < II
- c)II < III < I
- d)II < I < III
- e)III < I < II
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Arrange the following terms in the increasing order of their units dig...
Given: 3 terms: 75, 86 and 123
To find: The correct increasing order of the units digits of the 3 terms
Approach:
- We will first find the units digit of each term by using the cyclicity of units digits
- Then, we will arrange the units digits in increasing order.
Working Out:
- Finding the units digit of Term I - 75
- We know that 7 has a cyclicity of 4
- Now, 5 = 4 + 1
- So, the units digit of 75 will be the same as the units digit of 71 = 7
- So, units digit of Term I is 7
- Finding the units digit of Term II - 86
- We know that 8 has a cyclicity of 4
- Now, 6 = 4 + 2
- So, the units digit of 86 will be the same as the units digit of 82 = 64
- So, units digit of Term II is 4
- Finding the units digit of Term III - 123
- The units digit of 123 will come from 23 = 8
- So, units digit of Term III is 8
- Getting to the answer
- Arranging the units digits in increasing order, we get: 4 < 7 < 8
- That is, II < I < III
- Looking at the answer choices, we see that the correct answer is Option D
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Arrange the following terms in the increasing order of their units digits:I. 75II. 86III. 123a)I < II < IIIb)I < III < IIc)II < III < Id)II < I < IIIe)III < I < IICorrect answer is option 'D'. 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 Arrange the following terms in the increasing order of their units digits:I. 75II. 86III. 123a)I < II < IIIb)I < III < IIc)II < III < Id)II < I < IIIe)III < I < IICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arrange the following terms in the increasing order of their units digits:I. 75II. 86III. 123a)I < II < IIIb)I < III < IIc)II < III < Id)II < I < IIIe)III < I < IICorrect answer is option 'D'. Can you explain this answer?.
Arrange the following terms in the increasing order of their units digits:I. 75II. 86III. 123a)I < II < IIIb)I < III < IIc)II < III < Id)II < I < IIIe)III < I < IICorrect answer is option 'D'. 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 Arrange the following terms in the increasing order of their units digits:I. 75II. 86III. 123a)I < II < IIIb)I < III < IIc)II < III < Id)II < I < IIIe)III < I < IICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arrange the following terms in the increasing order of their units digits:I. 75II. 86III. 123a)I < II < IIIb)I < III < IIc)II < III < Id)II < I < IIIe)III < I < IICorrect answer is option 'D'. Can you explain this answer?.
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