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kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Last visit: 27 Jul 2022
Posts: 706
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
01 May 2019, 09:21
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E
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If x is a 7-digit positive integer, what is the thousandths digit of x/10000 ?
(i) Units digit of x/100 is 2
(ii) x/100 when rounded to nearest integer, units digit of the newly obtained rounded value is 3
(i) Units digit of x/100 is 2
(ii) x/100 when rounded to nearest integer, units digit of the newly obtained rounded value is 3
02 May 2019, 00:11
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If x is a 7-digit positive integer, what is the thousandths digit of x/10000 ?
Let the number be abcdefg, where each alphabet stands for a digit...
\(\frac{abcdefg}{10000}=abc.defg\)...Here, g is the thousandths digit.
So, we are looking for the units digit of x.
(i) Units digit of x/100 is 2.
\(\frac{abcdefg}{100}=abcde.fg\), so e is 2.
But, we cannot find the value of g.
(ii) x/100 when rounded to nearest integer, units digit of the newly obtained rounded value is 3.
\(\frac{abcdefg}{100}=abcde.fg=abcd(e+1)\).
But, we cannot find the value of g.
Combined..
e is 2, so f is greater than 4...\(f\geq{5}\)..
But, we cannot find the value of g.
E
Let the number be abcdefg, where each alphabet stands for a digit...
\(\frac{abcdefg}{10000}=abc.defg\)...Here, g is the thousandths digit.
So, we are looking for the units digit of x.
(i) Units digit of x/100 is 2.
\(\frac{abcdefg}{100}=abcde.fg\), so e is 2.
But, we cannot find the value of g.
(ii) x/100 when rounded to nearest integer, units digit of the newly obtained rounded value is 3.
\(\frac{abcdefg}{100}=abcde.fg=abcd(e+1)\).
But, we cannot find the value of g.
Combined..
e is 2, so f is greater than 4...\(f\geq{5}\)..
But, we cannot find the value of g.
E
23 Jan 2020, 13:46
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x = abcdefg
x/10000 = abc.defg
To find:
The thousandths digit of x/10000 is f
We need to get a unique value for ‘f’(d= tenth digit , e=hundradth digit f=thousandth digit )
statement 1:
x/100 = abcde.fg
unit digit i.e e is 2 ..No information about f
not sufficient
Statement 2:
abcde.fg when rounding to nearest integer will be
1)abcde if f < 5 and the rounded value will be less than the original value
2) abcd(e+1) if f = 5 and the rounded value will be greater than original value
Units digit of the newly obtained rounded value will be
e when f < 5 or e+1 when f = 5
So, e could be 3 or e+1 could be 3, but no information about F
Not sufficient
Combining both 1 and 2 we cannot infer any value.
So E will be the correct answer .
Posted from my mobile device
x/10000 = abc.defg
To find:
The thousandths digit of x/10000 is f
We need to get a unique value for ‘f’(d= tenth digit , e=hundradth digit f=thousandth digit )
statement 1:
x/100 = abcde.fg
unit digit i.e e is 2 ..No information about f
not sufficient
Statement 2:
abcde.fg when rounding to nearest integer will be
1)abcde if f < 5 and the rounded value will be less than the original value
2) abcd(e+1) if f = 5 and the rounded value will be greater than original value
Units digit of the newly obtained rounded value will be
e when f < 5 or e+1 when f = 5
So, e could be 3 or e+1 could be 3, but no information about F
Not sufficient
Combining both 1 and 2 we cannot infer any value.
So E will be the correct answer .
Posted from my mobile device
