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Any decimal that has only a finite number of non-zero digits is a term 03 Jul 2017, 05:12
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63% (01:24) correct 37% (01:07) wrong based on 337 sessions

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Any decimal that has only a finite number of non-zero digits is a terminating decimal. If p and q are positive integers and the ratio p/q is expressed as a decimal, is p/q a terminating decimal?

(1) 14 ≤ p ≤ 23

(2) q = 12
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Any decimal that has only a finite number of non-zero digits is a term 03 Jul 2017, 05:18
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Any decimal that has only a finite number of non-zero digits is a terminating decimal. If p and q are positive integers and the ratio p/q is expressed as a decimal, is p/q a terminating decimal?

(1) 14 ≤ p ≤ 23

(2) q = 12

This is a copy of the following OG question: https://gmatclub.com/forum/any-decimal- ... 44328.html

Other similar questions:
https://gmatclub.com/forum/any-decimal- ... 24648.html
https://gmatclub.com/forum/any-decimal- ... 01964.html
https://gmatclub.com/forum/if-a-b-c-d-a ... 25789.html
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Any decimal that has only a finite number of non-zero digits is a term 06 Jul 2017, 01:52
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Any decimal that has only a finite number of non-zero digits is a terminating decimal. If p and q are positive integers and the ratio p/q is expressed as a decimal, is p/q a terminating decimal?

(1) 14 ≤ p ≤ 23
Not sufficient as we have no information about q

(2) q = 12
q= 2^2 *3
Not sufficient as if the numerator p contains a factor of 3 , then p/q will be a terminating decimal.

Combining 1 and 2, we get
If p = 14 , then p/q = 14/12 = 7/6 is non-terminating decimal
If p= 15 , then p/q = 15/12 = 5/4 = 1.25 is a terminating decimal

Answer E
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Any decimal that has only a finite number of non-zero digits is a term 04 Oct 2024, 23:31
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We have been asked to check if p/q is a terminating decimal or not

Let's look at Statement 1

Here the value of p is greater than equal to 14 and less than and equal to 23 which means p= 14,15,16.......23. This alone is not sufficent in determining the value of p/q.

According to statement 2

q=12. This also not sufficient in determing the value of p/q.

If we combine the two staements together we get

14/12= 1.16666.....
15/12=1.25
16/12=1.3333....
17/12=1.41666....
18/12= 1.5

After combining the two statements together, some values are terminating and some are not terminating. Hence this is also not sufficient. The answer is E.
GGMU
Any decimal that has only a finite number of non-zero digits is a terminating decimal. If p and q are positive integers and the ratio p/q is expressed as a decimal, is p/q a terminating decimal?

(1) 14 ≤ p ≤ 23

(2) q = 12
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