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Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]
- a)72
- b)64
- c)216
- d)1000
- e)128
Correct answer is option 'B,C,D'. Can you explain this answer?
Most Upvoted Answer
Which of the following integers satisfies this condition: It is a mul...
(A) 72 and (E) 128 are multiples of 8 but are not cubes of any integer. The following satisfy the given condition
(B) 64 is a multiple of 8 (8 x 8) and the cube of 4 (4 x 4 x 4)
(C) 216 is a multiple of 8 (8 x 27) and the cube of 6 (6 x 6 x 6)
(D) 1000 is a multiple of 8 (8 x 125) and the cube of 10 (10 x 10 x 10)
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Which of the following integers satisfies this condition: It is a mul...
Question Analysis:
We are given a condition that the integer should be a multiple of 8 and the cube of an even number. We need to identify the integers that satisfy this condition from the given options.
Options Analysis:
Let's analyze each option to determine if it satisfies the given condition.
a) 72:
72 is a multiple of 8, but it is not the cube of an even number. The cube root of 72 is approximately 4.16, which is not an integer. Therefore, option a) does not satisfy the given condition.
b) 64:
64 is a multiple of 8 and it is the cube of an even number. The cube root of 64 is 4, which is an even number. Therefore, option b) satisfies the given condition.
c) 216:
216 is a multiple of 8 and it is the cube of an even number. The cube root of 216 is 6, which is an even number. Therefore, option c) satisfies the given condition.
d) 1000:
1000 is a multiple of 8, but it is not the cube of an even number. The cube root of 1000 is approximately 10, which is not an integer. Therefore, option d) does not satisfy the given condition.
e) 128:
128 is a multiple of 8, but it is not the cube of an even number. The cube root of 128 is approximately 5.03, which is not an integer. Therefore, option e) does not satisfy the given condition.
Conclusion:
From the given options, options b), c), and d) satisfy the given condition. Therefore, the correct answer is options b), c), and d).
We are given a condition that the integer should be a multiple of 8 and the cube of an even number. We need to identify the integers that satisfy this condition from the given options.
Options Analysis:
Let's analyze each option to determine if it satisfies the given condition.
a) 72:
72 is a multiple of 8, but it is not the cube of an even number. The cube root of 72 is approximately 4.16, which is not an integer. Therefore, option a) does not satisfy the given condition.
b) 64:
64 is a multiple of 8 and it is the cube of an even number. The cube root of 64 is 4, which is an even number. Therefore, option b) satisfies the given condition.
c) 216:
216 is a multiple of 8 and it is the cube of an even number. The cube root of 216 is 6, which is an even number. Therefore, option c) satisfies the given condition.
d) 1000:
1000 is a multiple of 8, but it is not the cube of an even number. The cube root of 1000 is approximately 10, which is not an integer. Therefore, option d) does not satisfy the given condition.
e) 128:
128 is a multiple of 8, but it is not the cube of an even number. The cube root of 128 is approximately 5.03, which is not an integer. Therefore, option e) does not satisfy the given condition.
Conclusion:
From the given options, options b), c), and d) satisfy the given condition. Therefore, the correct answer is options b), c), and d).
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Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer?.
Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer? for GRE 2025 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for GRE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer?.
Solutions for Which of the following integers satisfies this condition: It is a multiple of 8 and it is the cube of an even number? Indicate all such integers. [Multiple Seelct Answers]a)72b)64c)216d)1000e)128Correct answer is option 'B,C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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