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If n is an integer between 100 and 900, what is the tens dig

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If n is an integer between 100 and 900, what is the tens dig [#permalink]

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If n is an integer between 100 and 900, what is the tens digit of n?

(1) If n is rounded to the nearest ten and the result is then rounded to the nearest hundred, the final value differs from the result of rounding n to the nearest hundred.

(2) The tens digit of n is half the units digit of n and is twice the hundreds digit of n.
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Re: If n is an integer between 100 and 900, what is the tens dig [#permalink]

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Hi,


100<n<900.

Statement 1:

ABC rounded to nearest ten and then to the nearest hundred differs from ABC rounded to nearest 100.

The middle value will depended on the unit digits.

For example :
554 --> 550 ---> 500 (Applying If n is rounded to the nearest ten and the result is then rounded to the nearest hundred).
554 ---> 600 (Applying the result of rounding n to the nearest hundred).

Hundredth Digit is definitely 5 and the Unit Digit varies between 1 to 5 inclusive.

So the statement 1 is sufficient.

Statement 2:

124, 248 etc- Insufficient.


So the answer is A.
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Re: If n is an integer between 100 and 900, what is the tens dig [#permalink]

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Gnpth wrote:
100<n<900.

cStatement 1:[/b][/u]

ABC rounded to nearest ten and then to the nearest hundred differs from ABC rounded to nearest 100.

The middle value will depended on the unit digits.

For example :
554 --> 550 ---> 500 (Applying If n is rounded to the nearest ten and the result is then rounded to the nearest hundred).
554 ---> 600 (Applying the result of rounding n to the nearest hundred).

Hundredth Digit is definitely 5 and the Unit Digit varies between 1 to 5 inclusive.


I don't think you got it right.

We care about the tens digit, not the hundreds digit.
The right example would be:
545 --> 550 ---> 600 (Applying If n is rounded to the nearest ten and the result is then rounded to the nearest hundred).
545 ---> 500 (Applying the result of rounding n to the nearest hundred).

Another example would be:
345 --> 350 ---> 400 (Applying If n is rounded to the nearest ten and the result is then rounded to the nearest hundred).
345 ---> 300 (Applying the result of rounding n to the nearest hundred).


So, the tens digit has to be 4. Hence, Statement 1 is sufficient.

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Re: If n is an integer between 100 and 900, what is the tens dig [#permalink]

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New post 11 Nov 2013, 22:12
amyjohn wrote:
If n is an integer between 100 and 900, what is the tens digit of n?

(1) If n is rounded to the nearest ten and the result is then rounded to the nearest hundred, the final value differs from the result of rounding n to the nearest hundred.

(2) The tens digit of n is half the units digit of n and is twice the hundreds digit of n.



Hi Amyjohn,

Got it wrong the first time as I did not understand the St 1 completely

For St 1 let us take n= 567 ---->Rounded to nearest ten----->570 and then rounded to nearest hundred : 600
n=567, rounded directly to nearest hundred: 600 : No difference in the above 2 final values

Consider n= 543----->540 ---->500
n= 543------> 500 Again no difference in final values

now if n= 548----> 550-----.600
or 548----->500 (rounded to nearest hundred)

Hence tens digit has to be 4.

For St 2 : we have either 124 or 248

So A has to be the answer
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Re: If n is an integer between 100 and 900, what is the tens dig [#permalink]

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amyjohn wrote:
If n is an integer between 100 and 900, what is the tens digit of n?

(1) If n is rounded to the nearest ten and the result is then rounded to the nearest hundred, the final value differs from the result of rounding n to the nearest hundred.

(2) The tens digit of n is half the units digit of n and is twice the hundreds digit of n.


Check solution

Answer: Option A
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Re: If n is an integer between 100 and 900, what is the tens dig [#permalink]

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who decided that 350 is rounded up and not down?
is that common knowledge?
I though that you can round 350 both to 400 or 300

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Re: If n is an integer between 100 and 900, what is the tens dig [#permalink]

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New post 20 Oct 2017, 15:34
omer1kau wrote:
who decided that 350 is rounded up and not down?
is that common knowledge?
I though that you can round 350 both to 400 or 300


u have to round anything 5+ up b/c then rounding cancels itself out in mass

ie if you round DOWN at 5, then anything ending in

0
1
2
3
4
5

is rounded DOWN

and anything ending in

6
7
8
9

is rounded up.

in aggregate this would push measurement down since there are more round-down #s than round-up


by rounding up when 5 u balance it out

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Re: If n is an integer between 100 and 900, what is the tens dig   [#permalink] 20 Oct 2017, 15:34
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If n is an integer between 100 and 900, what is the tens dig

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