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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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msk0657, I will suggest you to download GMAT Club Math Book and refer to the same for fundamentals. It will definitely help you to close loops in your understanding. It did for mine.
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Bunuel
Any decimal that has a finite number of nonzero digits is a terminating decimal. For example, 16, 12.43, and 0.26 are all terminating decimals. If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?

(1) b = 5
(2) 70 < a < 80


What's the use of line in bold? And does that not mean that integers will not be considered decimal? Anyway the questions mentions that 16 is a terminating decimal too so we take the set of all integers as well.

Statement 1- Any number divided by 5 will always end up terminating. Sufficient

Statement 2- a can be any integer from 71 to 79 and b can be anything. Not sufficient.

Guess it's A
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KarishmaParmar
Bunuel
Any decimal that has a finite number of nonzero digits is a terminating decimal. For example, 16, 12.43, and 0.26 are all terminating decimals. If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?

(1) b = 5
(2) 70 < a < 80


What's the use of line in bold? And does that not mean that integers will not be considered decimal? Anyway the questions mentions that 16 is a terminating decimal too so we take the set of all integers as well.

Statement 1- Any number divided by 5 will always end up terminating. Sufficient

Statement 2- a can be any integer from 71 to 79 and b can be anything. Not sufficient.

Guess it's A

The purpose of bolded statements is nothing but just to explain what terminating decimals are. :-D
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In any fraction N/D, if D is a multiple of only 2 or 5 or both then fraction is terminating.

So now A says b=5 which is sufficient as fraction is having just 5 as prime factors .

In option B this is not the case as We don't know anything about b

So A is sufficient but B alone is not.

Thanks


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