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# If a = c • 10^b and a and b are integers, what is the value of b? (1

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Manager
Joined: 02 Jun 2015
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If a = c • 10^b and a and b are integers, what is the value of b? (1  [#permalink]

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26 Oct 2016, 02:17
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Difficulty:

75% (hard)

Question Stats:

47% (01:50) correct 53% (01:56) wrong based on 112 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

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If a = c • 10^b and a and b are integers, what is the value of b? (1  [#permalink]

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26 Oct 2016, 05:53
duahsolo wrote:
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

Stat 1: Let c = 123.xyz ( here x,y and z tenths, hundredths, and thousandths places respectively)

c • 10^b = a , in order to get a as an integer then b has to be 3, but we don't have such clear information about b...NS.

Stat 2 : b can be 2 or 3...but here we aren't told about c value...NS.

Both: When b = 2 we get a = 123x.yz and this is not a integer.

When b = 3 we get a as integer...Sufficient.

Option C.
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Re: If a = c • 10^b and a and b are integers, what is the value of b? (1  [#permalink]

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11 Mar 2017, 00:11
i think the question should be reworded. I interpreted 'tenths, hundreds, and thousands' places as 12345 (e.g., not as decimals). or am i just slow?
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If a = c • 10^b and a and b are integers, what is the value of b? (1  [#permalink]

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29 May 2017, 20:44
mdacosta wrote:
i think the question should be reworded. I interpreted 'tenths, hundreds, and thousands' places as 12345 (e.g., not as decimals). or am i just slow?

The suffix "th" as in hundredths, thousandths refers to decimal places. You're thinking of "ones place, tens place, hundreds place" in which case the answer would be "E." This is a very fixable issue- this is just an issue of forgetting rules and not so much any lapse in logic.
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Re: If a = c • 10^b and a and b are integers, what is the value of b? (1  [#permalink]

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29 May 2017, 21:08
mdacosta wrote:
i think the question should be reworded. I interpreted 'tenths, hundreds, and thousands' places as 12345 (e.g., not as decimals). or am i just slow?

1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS

Notice the difference between TENS and TENTHS.
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Re: If a = c • 10^b and a and b are integers, what is the value of b? (1  [#permalink]

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19 Feb 2019, 01:28
duahsolo wrote:
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

from 1, we get to know that

c will be taking values such as 0.123, 0.125, 0.126

from 2) we get to know that only 2 and 3 are the available test cases, to take the value of 10^b

Now when we combine only one value satisfies the if condition

b = 3
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Re: If a = c • 10^b and a and b are integers, what is the value of b? (1   [#permalink] 19 Feb 2019, 01:28
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