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27 Apr 2016, 23:35
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:22) correct
37%
(01:19)
wrong
based on 513
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following values will convert into a terminating decimal?
A. 77/510
B. 21/6,000
C. 98/1,800
D. 79/1,233
E. 235/350
A. 77/510
B. 21/6,000
C. 98/1,800
D. 79/1,233
E. 235/350
20 Jun 2019, 20:59
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I don't see a detailed explanation so I'll contribute in order to make it clear to anyone who may not understand.
The rule is that a decimal equivalent of a fraction will terminate if and only if the denominator of the reduced fraction has a prime factorization of only 2's or 5's or both.
Going through the answer choices:
A) 77/510 = [(7)(11)]/[(2)(3)(5)(17)]
Nothing cancels out and the denominator has digits in addition to 2 and 5, this will not terminate
B) 21/6000 = [(3)(7)]/[(2^4)(3)(5^3)] = 7/[(2^4)(5^3)]
The 3 cancels out in the numerator and denominator leaving only 2's and 5's in the denominator. This fraction will terminate.
The correct answer is B.
Please send kudos if this helped!
The rule is that a decimal equivalent of a fraction will terminate if and only if the denominator of the reduced fraction has a prime factorization of only 2's or 5's or both.
Going through the answer choices:
A) 77/510 = [(7)(11)]/[(2)(3)(5)(17)]
Nothing cancels out and the denominator has digits in addition to 2 and 5, this will not terminate
B) 21/6000 = [(3)(7)]/[(2^4)(3)(5^3)] = 7/[(2^4)(5^3)]
The 3 cancels out in the numerator and denominator leaving only 2's and 5's in the denominator. This fraction will terminate.
The correct answer is B.
Please send kudos if this helped!
General Discussion
Balajikarthick1990
28 Apr 2016, 00:11
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Bunuel
go with B...checked for base to get reduced to 2^m*5^n
