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02 Oct 2017, 23:57
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C
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Difficulty:
65%
(hard)
Question Stats:
50% (01:47) correct
50%
(01:50)
wrong
based on 166
sessions
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If a = c*10^b and a and b are integers, what is the value of b?
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
(2) 1 < b < 4
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
(2) 1 < b < 4
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
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Bunuel
Statement 1: \(c=0.xyz\), where \(x,y,z\) are digits in tenths, hundredths, and thousandths places but nothing mentioned about \(a\) or \(b\). Hence \(insufficient\)
Statement 2: \(b\) can be \(2\) or \(3\). Hence insufficient
Combining 1 & 2. \(a = c*10^b\),
or \(a= 0.xyz*10^b\) we know that \(a\) is an integer, hence \(b=3\) because if \(b=2\) then \(a=xy.z\) which is not an integer. Hence sufficient
Option C
03 Oct 2017, 02:39
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If \(a = c*10^b\)and a and b are integers, what is the value of b?
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
=> This tells us that c is a 3 digit decimal number => c = 0.pqr ( p,q,and r are single digit integers)
to make 'a' as an integer 'c' need to be multiplied by 1000 => minimum value of a => \(a = c*10^3\)
Here as we don't know value of a => b can take any value greater or equal to 3 => \(b\geq{3}\)
Insufficient
(2) 1 < b < 4
as b is an integer => b = 2 or 3
Insufficient
1+2
=>by statement 1=> \(b\geq{3}\)
by statement 2 => b = 2 or 3
=> b=3
Answer: C
(1) c has nonzero digits in only the tenths, hundredths, and thousandths places.
=> This tells us that c is a 3 digit decimal number => c = 0.pqr ( p,q,and r are single digit integers)
to make 'a' as an integer 'c' need to be multiplied by 1000 => minimum value of a => \(a = c*10^3\)
Here as we don't know value of a => b can take any value greater or equal to 3 => \(b\geq{3}\)
Insufficient
(2) 1 < b < 4
as b is an integer => b = 2 or 3
Insufficient
1+2
=>by statement 1=> \(b\geq{3}\)
by statement 2 => b = 2 or 3
=> b=3
Answer: C
