number properties

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number properties

by sud21 » Thu Jan 12, 2012 9:33 am
X=2.543*10^K, where k is an integer, what is the thousandth digit of x?
1). The hundredth digit of x is 0
2). Hundredth digit minus thousandth digit is 3

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by mankey » Thu Jan 12, 2012 9:59 am
Should be B. Whats the OA?

Number will be 2543 since 5-2=3 (This is the only number that satisfies the given conditions).

Thanks.

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by user123321 » Thu Jan 12, 2012 10:26 am
sud21 wrote:X=2.543*10^K, where k is an integer, what is the thousandth digit of x?
1). The hundredth digit of x is 0
2). Hundredth digit minus thousandth digit is 3
1) hundredth digit of x is 0.
we dont know anything about k whether it is +ve or -ve. so insuff.

2) this can happen only when k = 1 then 3-0 = 3.
hence suff.

[spoiler]is it B?[/spoiler]

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by chufus » Thu Jan 12, 2012 10:36 am
user123321 wrote:
sud21 wrote:X=2.543*10^K, where k is an integer, what is the thousandth digit of x?
1). The hundredth digit of x is 0
2). Hundredth digit minus thousandth digit is 3
1) hundredth digit of x is 0.
we dont know anything about k whether it is +ve or -ve. so insuff.

2) this can happen only when k = 1 then 3-0 = 3.
hence suff.

[spoiler]is it B?[/spoiler]

user123321
The answer should be B but i think you are subtracting the wrong nos.. It should be 5- 2 = 3

Otherwise it would have to be 0 -3 = -3 not 3.

the number will be 2543

Its the hundredth digit minus the thousands digit. So K will have to be 3 for 2.543 to become 2543 and only then will the difference be 3

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by user123321 » Thu Jan 12, 2012 10:46 am
chufus wrote:
user123321 wrote:
sud21 wrote:X=2.543*10^K, where k is an integer, what is the thousandth digit of x?
1). The hundredth digit of x is 0
2). Hundredth digit minus thousandth digit is 3
1) hundredth digit of x is 0.
we dont know anything about k whether it is +ve or -ve. so insuff.

2) this can happen only when k = 1 then 3-0 = 3.
hence suff.

[spoiler]is it B?[/spoiler]

user123321
The answer should be B but i think you are subtracting the wrong nos.. It should be 5- 2 = 3

Otherwise it would have to be 0 -3 = -3 not 3.

the number will be 2543

Its the hundredth digit minus the thousands digit. So K will have to be 3 for 2.543 to become 2543 and only then will the difference be 3
Hi

2.543 * 10 = 25.430
in this hundredths digit is 3 and thousandths digit is 0
so hundredths - thousandths = 3 - 0 = 3

Please let me know if my logic is wrong.

Thanks,
user123321
Just started my preparation :D
Want to do it right the first time.