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If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths

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Math Expert
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If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths  [#permalink]

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New post 28 Apr 2016, 01:18
2
6
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

59% (02:23) correct 41% (02:15) wrong based on 162 sessions

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Re: If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths  [#permalink]

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New post 28 Apr 2016, 02:49
Ans is d..
Statment 1 is insufficient by itself as no unique sol is generated. a can be 1,2 and b can be 0-9 depending on value of a.
Statment 2 is insufficient by itself. However we can deduce that a+b = 4, 13.
On combining both statments a unique sol is obtained

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Re: If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths  [#permalink]

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New post 23 May 2017, 01:31
Bunuel wrote:
If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths digits, respectively, what is the value of b?

(1) If 5a.b were rounded to the nearest whole number, the new number would be 52.
(2) 5a.b/9 converts to a terminating decimal.


from (1), it could be any no. for eg-51.6, 51.7, 51.8, 51.9 =>not sufficient.
from (2), it could be any no. for eg-58.5, 50.4, 54.9, etc (the sum of digits should be divisible by 9 as the decimal is terminating) =>not sufficient
from (1) & (2), it could 52.2 only (the no. 51.3 if you are thinking can be rounded to 51 & not 52).
So, b=2 =>(1) & (2) together sufficient.
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Re: If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths  [#permalink]

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New post 25 Dec 2018, 01:56
VeritasKarishma amanvermagmat Bunuel chetan2u gmatbusters Abhishek009 Gladiator59

Can you advise if below line of thoughts is correct:
for a fraction to reduce to terminating decimal, I need either 2 or 5 OR BOTH
in the denominator, since st 2 has 9 in the denominator and WE ARE GIVEN that the
fraction reduces to terminating decimal, we need to cancel out 9 i.e. we must have
multiple of 9 in the numerator.

Let me know our thoughts choosing on B vs C
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Re: If 5a.b is a decimal with 5, a, and b as the tens, ones, and tenths   [#permalink] 25 Dec 2018, 01:56
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