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A/B is a fraction such that A and B are co-prime positive integers. What can be the value of B such that A/B is not a non-terminating decimal?
- a)28
- b)42
- c)84
- d)128
- e)More than two answers are correct
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A/B is a fraction such that A and B are co-prime positive integers. Wh...
For AB to be a terminating decimal b must have the form 2a ∗ 5b.
Every option except 128 contains a 77, and since A and B do not share any factor (are co-prime) 7 will not cancel out of the denominator.
So B can only be 128 = 27.
Every option except 128 contains a 77, and since A and B do not share any factor (are co-prime) 7 will not cancel out of the denominator.
So B can only be 128 = 27.
Most Upvoted Answer
A/B is a fraction such that A and B are co-prime positive integers. Wh...
Explanation:
Co-prime Positive Integers:
When two numbers are co-prime, it means that they have no common factors other than 1. In this case, A and B are co-prime positive integers.
Non-Terminating Decimal:
A non-terminating decimal is a decimal number that goes on forever without repeating. For a fraction to be a non-terminating decimal, its denominator must have prime factors other than 2 and 5.
Analysis:
To ensure that the fraction A/B is not a non-terminating decimal, we need to choose a value of B that only has prime factors of 2 and 5 in its prime factorization.
Possible Values:
- 28 = 2^2 * 7 (not acceptable as it has a prime factor other than 2 and 5)
- 42 = 2 * 3 * 7 (not acceptable as it has a prime factor other than 2 and 5)
- 84 = 2^2 * 3 * 7 (not acceptable as it has a prime factor other than 2 and 5)
- 128 = 2^7 (acceptable as it only has prime factor 2)
Therefore, the value of B that ensures A/B is not a non-terminating decimal is 128 (option D).
Co-prime Positive Integers:
When two numbers are co-prime, it means that they have no common factors other than 1. In this case, A and B are co-prime positive integers.
Non-Terminating Decimal:
A non-terminating decimal is a decimal number that goes on forever without repeating. For a fraction to be a non-terminating decimal, its denominator must have prime factors other than 2 and 5.
Analysis:
To ensure that the fraction A/B is not a non-terminating decimal, we need to choose a value of B that only has prime factors of 2 and 5 in its prime factorization.
Possible Values:
- 28 = 2^2 * 7 (not acceptable as it has a prime factor other than 2 and 5)
- 42 = 2 * 3 * 7 (not acceptable as it has a prime factor other than 2 and 5)
- 84 = 2^2 * 3 * 7 (not acceptable as it has a prime factor other than 2 and 5)
- 128 = 2^7 (acceptable as it only has prime factor 2)
Therefore, the value of B that ensures A/B is not a non-terminating decimal is 128 (option D).
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A/B is a fraction such that A and B are co-prime positive integers. What can be the value of B such that A/B is not a non-terminating decimal?a)28b)42c)84d)128e)More than two answers are correctCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A/B is a fraction such that A and B are co-prime positive integers. What can be the value of B such that A/B is not a non-terminating decimal?a)28b)42c)84d)128e)More than two answers are correctCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A/B is a fraction such that A and B are co-prime positive integers. What can be the value of B such that A/B is not a non-terminating decimal?a)28b)42c)84d)128e)More than two answers are correctCorrect answer is option 'D'. Can you explain this answer?.
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