A terminating decimal is defined as a decimal that has a finite number

Question

A terminating decimal is defined as a decimal that has a finite number of nonzero digits. Examples of terminating decimals are 0.24, 52, and 6.0314. x and y are positive integers. If x/y is expressed as a decimal, is it a terminating decimal?

(1) 50 < x < 60

(2) y = 9

(1) 50 < x < 60

(2) y = 9

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Sagart21 · Answer

1 and 2 individually are clearly insufficient as only numerator and denominator is given.
If considered together, all fractions are non terminating. 
Answer - C

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Bryan180599 · Answer

A terminating decimal is defined as a decimal that has a finite number of nonzero digits. Examples of terminating decimals are 0.24, 52, and 6.0314. x and y are positive integers. If x/y is expressed as a decimal, is it a terminating decimal?

(1) 50 < x < 60

(2) y = 9

(1) 50 < x < 60
Insufficient, says nothing about y. So if x = 51 and y=9 we have an infinite number of decimals while x=54 y=9, x/y=6

(2) y = 9
Insufficient, says nothing about x. The same example of (1) can be used.

(1)+(2). Insufficient. The same example can be used again.

Answer E

abhishekmayank · Answer

Answer should be B:

A :

x=52, y=8; x/y = 6.5. A terminating decimal - True
x=52, y=9; x/y = 5.777.... A non terminating number - False

B:

Any number we choose for the value of x and y=9

x/y = An integer or non terminating decimal number.

CEdward · Answer

I think E is the answer.

Statement 1: Insufficient. We know nothing about y.
e.g. 51/51 = 1 Terminating
e.g. 59/7 Non terminating
Statement 2: Insufficient. We know nothing about x.
Combined:
x = 54/9 = 6 Terminating
x = 53/9 = <6 Non-terminating

rajatchopra1994 · Answer

Explanation:

x and y are positive integers

Statement 1: 50 < x < 60
we don't know anything about y. 
x/y can be terminating or non-terminating.
Not Sufficient

Statement 2: y = 9
we don't know anything about x. 
x/y can be terminating or non-terminating.
Not Sufficient.

From 1 & 2,
x can be between 51 to 59 & y = 9
when x = 54 , x/y will be terminating
when x is between 51 to 59 except 54, x/y will be non-terminating.
Not Sufficient

IMO-E

chetan2u · Answer

Terminating decimals : The fractions in their simplest form that have ONLY powers of 2 and 5 in the denominator result in terminating decimals.
Other than that,  if a fraction in its simplest form has denominator other than 1, 2, 5 and their powers, the resulting decimal is non terminating decimal

(1) 50 < x < 60
Nothing about y.

(2) y = 9
If x has 9 as a factor, it will be a terminating decimal. Else no.

Combined
when x=54 and y=9.....x/y=6, a terminating decimal
When x is anything else, 51, 53, 57 etc, it will result in non-terminating decimal

E

GCMEMBER · Answer

If x/y is expressed as a decimal, is it a terminating decimal?

(1) 50 < x < 60
51/9 = 5.666666.... 
non terminating
54/9 = 6
terminating

Not sufficient

(2) y = 9
51/9 = 5.666666.... 
non terminating
54/9 = 6
terminating

Not sufficient

(1) + (2)

51/9 = 5.666666.... 
non terminating
54/9 = 6
terminating

Not sufficient

Option E

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exc4libur · Answer

(1) insufic

(2) insufic

(1/2) insufic

x/y=54/9=6=terminating
x/y=51/9=17/3=not-terminating

(E)

HASTOWINGMAT · Answer

Answer should be E.
1. gives no information about y. therefore difficult to determine whether terminating or non-terminating
2. gives no information of x.therefore difficult to determine whether terminating or non-terminating

Together: given that y=9; if x=54 then x/y=6.0
if x=55 then x/y=6.11111111

akadiyan · Answer

The question asks whether  \frac{x}{y}  is a terminating decimal

So we need vaues for both X and Y to solve this question, so we can eliminate A,B and D as answers.

Lets look at answer choices below

(1) 50 < x < 60
 Not sufficient . We need both X and Y

(2) y = 9
 Not sufficient . We need both X and Y

(1) + (2) together

X can have any value between 50 and 60 and X = 54 and Y=9,  \frac{x}{y}  is a terminating decimal.

But when X = 57 or 58,  \frac{x}{y}  is not a terminating decimal.

So we get 2 different values. 1 and 2 together not sufficient.

Ans:   E

abhishekmayank · Answer

Hi  Bunuel ,

Given the definition of terminating decimal number :

"A terminating decimal is defined as a decimal that has a finite number of nonzero digits"

I don't think that any integer value will be called "terminating decimal". So why not B is the right answer ?

A terminating decimal is defined as a decimal that has a finite number

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A terminating decimal is defined as a decimal that has a finite number

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