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Bunuel
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If a and b are positive integers and the ratio a/b is expressed as a 06 Jan 2020, 06:16
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57% (00:59) correct 43% (01:13) wrong based on 75 sessions

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If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?

(1) 50 < a < 60
(2) b = 3


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If a and b are positive integers and the ratio a/b is expressed as a Updated on: 08 Jan 2020, 07:43
Originally posted by freedom128 on 06 Jan 2020, 06:46.
Last edited by freedom128 on 08 Jan 2020, 07:43, edited 9 times in total.
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1)
If a=51 and b=3, then a/b=17 is a terminating decimal.
If a=52 and b=3, then a/b=17.3333... is a non-terminating decimal.
NOT SUFFICIENT

2) b = 3
Same explanation as above
NOT SUFFICIENT

1)+2)
Same explanation as above
NOT SUFFICIENT


FINAL ANSWER IS (E)

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If a and b are positive integers and the ratio a/b is expressed as a Updated on: 07 Jan 2020, 06:28
Originally posted by exc4libur on 06 Jan 2020, 07:56.
Last edited by exc4libur on 07 Jan 2020, 06:28, edited 1 time in total.
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Quote:
If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?

(1) 50 < a < 60
(2) b = 3
Show more

Terminating decimals are those in which the denominator is a multiple of 2, 5 or both.
(note: an integer is a terminating decimal)

(1) 50 < a < 60 insufic

(2) b = 3 sufic

b=3 and a=9, a/b=3 terminating
b=3 and a=1, a/b=1/3 repeating

Ans (E)
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If a and b are positive integers and the ratio a/b is expressed as a 06 Jan 2020, 15:46
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If a and b are positive integers and the ratio \(\frac{a}{b}\) is expressed as a decimal, is \(\frac{a}{b}\) a terminating decimal?

(Statement1): 50 < a < 60
Let's say that a = 51,
--> if b=102, then \(\frac{a}{b}=\frac{51}{102}= 0.5\)(terminating decimal -YES)
--> if b=153, then \(\frac{a}{b} =\frac{51}{153} =\frac{1}{3}=0.333\)... (not terminating decimal -NO)
Insufficient

(Statement2): b = 3
\(\frac{a}{b}\) -decimal --> a cannot be the multiple of 3
--> \(\frac{a}{b}\) is never be terminating decimal (Always NO)
Sufficient

The answer is B.
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If a and b are positive integers and the ratio a/b is expressed as a Updated on: 07 Jan 2020, 19:01
Originally posted by Archit3110 on 06 Jan 2020, 17:30.
Last edited by Archit3110 on 07 Jan 2020, 19:01, edited 1 time in total.
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If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?

(1) 50 < a < 60
(2) b = 3

Terminating decimal we get integer is divisible by 5 or 2.
#1 insufficient as b not know
#2 b=3 insufficient as a not know
From 1&2
Sufficient as decimal will be terminating and non terminating
a=52,53,54...

IMO E

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If a and b are positive integers and the ratio a/b is expressed as a 06 Jan 2020, 23:53
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(1) 50 < a < 60
(2) b = 3

clearly they are insufficient individually....
combining both we get a=51-59,b=3 then except for 51,54,57(a/b is an int) ....others whose result is a decimal is non-terminating....

OA:C
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If a and b are positive integers and the ratio a/b is expressed as a 07 Jan 2020, 03:57
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Quote:
If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal?

(1) 50 < a < 60
(2) b = 3
Show more

(1) Not sufficiency
(2) Not sufficiency
Combine (1) and (2)
if a = 51; b = 3 => 51/3 = 17
if a = 52; b=3 => 52/3 = 17.33333
=> Not sufficiency
=> Choice E
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If a and b are positive integers and the ratio a/b is expressed as a 07 Jan 2020, 07:09
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exc4libur
Hey, is an integer a terminating decimal?
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Yes, an integer can be considered as terminating decimal.
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