What is the value of the integer x ?
(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.
Could somebody help me with the above questions?
I have a hard time imagining how an integer can be rounded to another integer?
Thanks in advance.
Regards,
PS
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OG 17 Quantitative Review, Q. 179
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Hi parry,
Rounding can be done with any digit of a number (to the left of the decimal or to the right of the decimal) - and the rules are the same:
The digits 0-4 are rounded DOWN.
The digits 5-9 are rounded UP.
For example...
12.63 rounded to the nearest TENTH is 12.6 (since '3' is rounded down)
12.63 rounded to the nearest INTEGER is 13 (since '6' is rounded up)
12.63 rounded to the nearest TEN is 10 (since '2' is rounded down)
In this question, we're told that X is an INTEGER. We're asked for the value of X.
1) X rounded to the nearest hundred is 7,200.
With this Fact, X could be a variety of different integers (any integer from 7150 to 7249, inclusive)
Fact 1 is INSUFFICIENT
2) The hundreds digit of x is 2.
This Fact tells us that X is at least 200, but it could be ANY number with a 2 in the 'hundreds place' (re: 200, 207, 3214, etc.)
Fact 2 is INSUFFICIENT
Combined, we know...
X rounded to the nearest hundred is 7,200.
The hundreds digit of x is 2.
We still have multiple possibilities here (any integer from 7200 to 7249, inclusive), so we still don't know exactly what X is.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
Rounding can be done with any digit of a number (to the left of the decimal or to the right of the decimal) - and the rules are the same:
The digits 0-4 are rounded DOWN.
The digits 5-9 are rounded UP.
For example...
12.63 rounded to the nearest TENTH is 12.6 (since '3' is rounded down)
12.63 rounded to the nearest INTEGER is 13 (since '6' is rounded up)
12.63 rounded to the nearest TEN is 10 (since '2' is rounded down)
In this question, we're told that X is an INTEGER. We're asked for the value of X.
1) X rounded to the nearest hundred is 7,200.
With this Fact, X could be a variety of different integers (any integer from 7150 to 7249, inclusive)
Fact 1 is INSUFFICIENT
2) The hundreds digit of x is 2.
This Fact tells us that X is at least 200, but it could be ANY number with a 2 in the 'hundreds place' (re: 200, 207, 3214, etc.)
Fact 2 is INSUFFICIENT
Combined, we know...
X rounded to the nearest hundred is 7,200.
The hundreds digit of x is 2.
We still have multiple possibilities here (any integer from 7200 to 7249, inclusive), so we still don't know exactly what X is.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
Thanks a lot Mr. Rich for the reply, I really appreciate.
Although I have understood your point, I just want to reconfirm that we can apply the principle of rounding to the integers, say 7150 or 7289 in the same way as we would to the numbers 71.50 or 72.89.
Thanks in advance.
Regards,
PS
Although I have understood your point, I just want to reconfirm that we can apply the principle of rounding to the integers, say 7150 or 7289 in the same way as we would to the numbers 71.50 or 72.89.
Thanks in advance.
Regards,
PS
[email protected] wrote:Hi parry,
Rounding can be done with any digit of a number (to the left of the decimal or to the right of the decimal) - and the rules are the same:
The digits 0-4 are rounded DOWN.
The digits 5-9 are rounded UP.
For example...
12.63 rounded to the nearest TENTH is 12.6 (since '3' is rounded down)
12.63 rounded to the nearest INTEGER is 13 (since '6' is rounded up)
12.63 rounded to the nearest TEN is 10 (since '2' is rounded down)
In this question, we're told that X is an INTEGER. We're asked for the value of X.
1) X rounded to the nearest hundred is 7,200.
With this Fact, X could be a variety of different integers (any integer from 7150 to 7249, inclusive)
Fact 1 is INSUFFICIENT
2) The hundreds digit of x is 2.
This Fact tells us that X is at least 200, but it could be ANY number with a 2 in the 'hundreds place' (re: 200, 207, 3214, etc.)
Fact 2 is INSUFFICIENT
Combined, we know...
X rounded to the nearest hundred is 7,200.
The hundreds digit of x is 2.
We still have multiple possibilities here (any integer from 7200 to 7249, inclusive), so we still don't know exactly what X is.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
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Hi parry,
The 'rules' of rounding do not change - so you can round to ANY digit that you choose (re: the nearest decimal point or integer).
GMAT assassins aren't born, they're made,
Rich
The 'rules' of rounding do not change - so you can round to ANY digit that you choose (re: the nearest decimal point or integer).
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
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Jeff@TargetTestPrep
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We need to determine the value of x.parry wrote:What is the value of the integer x ?
(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.
Statement One Alone:
x rounded to the nearest hundred is 7,200.
Knowing that x rounded to the nearest hundred is 7,200 is not enough information to determine x. For instance, if x = 7,194, it will be rounded to 7,200, or if x = 7,211, it will be also rounded to 7,200. Statement one alone does not provide enough information to answer the question. Eliminate answer choices A and D.
Statement Two Alone:
The hundreds digit of x is 2.
There are many numbers with a hundreds digit of 2. Knowing the hundred digits alone will not allow us to determine x. Statement two alone does not provide enough information to answer the question. Eliminate answer choice B.
Statements One and Two Together:
Using our two statements together, we know that x rounded to the nearest hundred is 7,200 and the hundreds digit of x is 2. However, we still do not have enough information to answer the question. For instance, x could equal 7,201 or 7,202, giving us two different values of x.
E
nswer: [soiler]E[/spoiler]
Jeffrey Miller
Head of GMAT Instruction
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