UPSC Exam > UPSC Questions > Which of the following is a perfect cube ?a)1...
Start Learning for Free
Which of the following is a perfect cube ?
- a)125
- b)135
- c)145
- d)115
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is a perfect cube ?a)125b)135c)145 d)115...
Most Upvoted Answer
Which of the following is a perfect cube ?a)125b)135c)145 d)115...
Identifying a Perfect Cube
A perfect cube is a number that can be expressed as the product of three identical factors. For example, 27 is a perfect cube because it can be expressed as 3 x 3 x 3. To determine whether a number is a perfect cube, we need to find the cube root of that number. Here, we are given four options, and we can use the cube root method to identify the perfect cube.
Solution
a) 125
The cube root of 125 is 5. Since 125 can be expressed as 5 x 5 x 5, it is a perfect cube. Therefore, option A is the correct answer.
b) 135
The cube root of 135 is approximately 5.5. Since 5.5 is not a whole number, 135 is not a perfect cube.
c) 145
The cube root of 145 is approximately 5.7. Since 5.7 is not a whole number, 145 is not a perfect cube.
d) 115
The cube root of 115 is approximately 4.8. Since 4.8 is not a whole number, 115 is not a perfect cube.
Therefore, the only perfect cube among the given options is 125, which is option A.
A perfect cube is a number that can be expressed as the product of three identical factors. For example, 27 is a perfect cube because it can be expressed as 3 x 3 x 3. To determine whether a number is a perfect cube, we need to find the cube root of that number. Here, we are given four options, and we can use the cube root method to identify the perfect cube.
Solution
a) 125
The cube root of 125 is 5. Since 125 can be expressed as 5 x 5 x 5, it is a perfect cube. Therefore, option A is the correct answer.
b) 135
The cube root of 135 is approximately 5.5. Since 5.5 is not a whole number, 135 is not a perfect cube.
c) 145
The cube root of 145 is approximately 5.7. Since 5.7 is not a whole number, 145 is not a perfect cube.
d) 115
The cube root of 115 is approximately 4.8. Since 4.8 is not a whole number, 115 is not a perfect cube.
Therefore, the only perfect cube among the given options is 125, which is option A.
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following is a perfect cube ?a)125b)135c)145 d)115...
5^3=125
hence option a is right
hence option a is right
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer?
Question Description
Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. 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 Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer?.
Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. 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 Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer?.
Solutions for Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following is a perfect cube ?a)125b)135c)145 d)115Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup