any decimal that has only a finite numbers of non zero digits is a terminating decimal.for example 24,0.82 and 5.096 are three terminating decimals. if r and s are positive integers and the ratio r/s is expressed as a decimal, is r/s a terminating decimal?
1.90<r<100
2.s=4
terminating decimal
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- pradeepkaushal9518
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any decimal that has only a finite numbers of non zero digits is a terminating decimal.for example 24,0.82 and 5.096 are three terminating decimals. if r and s are positive integers and the ratio r/s is expressed as a decimal, is r/s a terminating decimal?
1.90<r<100
2.s=4
St (1):
r/s could be 91/2, in which case it would be a terminating decimal (i.e. 45.5)
r/s could be 91/3, in which case it would NOT be a terminating decimal (i.e. 30.333333...)
INSUFFICIENT
St (2):
It doesn't matter what r is, because when you divide an integer by 4, the result is either a whole number or a number whose decimal part is 0.25, 0.50, or 0.75. In all of these cases, you have a terminating decimal.
SUFFICIENT
1.90<r<100
2.s=4
St (1):
r/s could be 91/2, in which case it would be a terminating decimal (i.e. 45.5)
r/s could be 91/3, in which case it would NOT be a terminating decimal (i.e. 30.333333...)
INSUFFICIENT
St (2):
It doesn't matter what r is, because when you divide an integer by 4, the result is either a whole number or a number whose decimal part is 0.25, 0.50, or 0.75. In all of these cases, you have a terminating decimal.
SUFFICIENT
Rich Zwelling
GMAT Instructor, Veritas Prep
GMAT Instructor, Veritas Prep