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What will be the unit digit of ∛216
- a)3
- b)6
- c)4
- d)2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What will be the unit digit of∛216a)3b)6c)4 d)2Correct answer is...
We can find it by Prime Factorization method
³√216 = 2×2×2×3×3×3
= 2 and 3 are making triplets i.e. 2 and 3
= 2×3 = 6 Thus, we can say that 6 i.e option 'B' is correct.
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What will be the unit digit of∛216a)3b)6c)4 d)2Correct answer is...
Finding the Unit Digit of 2¹⁶
To find the unit digit of 2¹⁶, we need to understand the concept of cyclicity of unit digits. The unit digit of a number is the digit in the ones place, or the rightmost digit.
Cyclicity of Unit Digits
The unit digits of the powers of 2 follow a cyclic pattern. The cyclicity of the unit digits of powers of 2 is as follows:
2¹: 2
2²: 4
2³: 8
2⁴: 6
2⁵: 2
2⁶: 4
2⁷: 8
2⁸: 6
2⁹: 2
2¹⁰: 4
...and so on
This pattern repeats every 4 powers of 2.
Finding the Unit Digit of 2¹⁶
To find the unit digit of 2¹⁶, we need to divide 16 by 4 to find the remainder:
16 ÷ 4 = 4, with a remainder of 0
Since the remainder is 0, we can look at the unit digit of 2⁴, which is 6. Therefore, the unit digit of 2¹⁶ is also 6.
Answer: (B) 6
To find the unit digit of 2¹⁶, we need to understand the concept of cyclicity of unit digits. The unit digit of a number is the digit in the ones place, or the rightmost digit.
Cyclicity of Unit Digits
The unit digits of the powers of 2 follow a cyclic pattern. The cyclicity of the unit digits of powers of 2 is as follows:
2¹: 2
2²: 4
2³: 8
2⁴: 6
2⁵: 2
2⁶: 4
2⁷: 8
2⁸: 6
2⁹: 2
2¹⁰: 4
...and so on
This pattern repeats every 4 powers of 2.
Finding the Unit Digit of 2¹⁶
To find the unit digit of 2¹⁶, we need to divide 16 by 4 to find the remainder:
16 ÷ 4 = 4, with a remainder of 0
Since the remainder is 0, we can look at the unit digit of 2⁴, which is 6. Therefore, the unit digit of 2¹⁶ is also 6.
Answer: (B) 6
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What will be the unit digit of∛216a)3b)6c)4 d)2Correct answer is option 'B'. 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 will be the unit digit of∛216a)3b)6c)4 d)2Correct answer is option 'B'. 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 will be the unit digit of∛216a)3b)6c)4 d)2Correct answer is option 'B'. Can you explain this answer?.
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