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24 Aug 2020, 03:28
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:11) correct
20%
(01:22)
wrong
based on 66
sessions
History
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Time
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Not Attempted Yet
If \(a\) and \(b\) are integers, is the fraction \(\frac{a}{b}\) a terminating decimal?
(1) \(b\) is a prime numbers less than 7
(2) \(a\) and \(b\) are integers with no common factors other than 1.
(1) \(b\) is a prime numbers less than 7
(2) \(a\) and \(b\) are integers with no common factors other than 1.
24 Aug 2020, 03:38
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Explanation:
(I) b is a prime numbers less than 7
Prime number less than 7 : 2,3,5
a can be any value ,let a= 1
So, a/b when b =2 : 0.5
a/b when b=3 : 0.3333
Not Sufficient
(II) a and b are integers with no common factors other than 1.
means a,b are both prime numbers.
Let a=2, b=3
a/b = 0.6666
let a=3, b =5
a/b = 0.6
Not Sufficient
From Statement 1 & 2,
Let a=2, b=3
a/b = 0.6666
let a=2, b =5
a/b = 0.4
Not Suffcient
IMO-E
(I) b is a prime numbers less than 7
Prime number less than 7 : 2,3,5
a can be any value ,let a= 1
So, a/b when b =2 : 0.5
a/b when b=3 : 0.3333
Not Sufficient
(II) a and b are integers with no common factors other than 1.
means a,b are both prime numbers.
Let a=2, b=3
a/b = 0.6666
let a=3, b =5
a/b = 0.6
Not Sufficient
From Statement 1 & 2,
Let a=2, b=3
a/b = 0.6666
let a=2, b =5
a/b = 0.4
Not Suffcient
IMO-E
24 Aug 2020, 06:58
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rajatchopra1994
If a and b have no common factor besides 1, that only means their Greatest Common Divisor is 1. It is certainly possible that a and b are different prime numbers, but that does not need to be true -- it could be that a = 10 and b = 21, for example.
Otherwise your solution is perfect.
