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# X is an even integer greater than 300,000 and smaller than 1,000,000.

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X is an even integer greater than 300,000 and smaller than 1,000,000.  [#permalink]

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30 Jun 2015, 12:46
1
3
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:20) correct 23% (01:26) wrong based on 114 sessions

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X is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can X be?

A. 300,000
B. 349,999
C. 350,000
D. 399,999
E. 400,000

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X is an even integer greater than 300,000 and smaller than 1,000,000.  [#permalink]

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30 Jun 2015, 15:14
1
1
1,000,000-300,000=700,000 integers

700,000/2= 350,000 even integers.

350,000+1 inclusive. But since 1,000,000 and 300,000 are not included.

350,001-2=349,999

B
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X is an even integer greater than 300,000 and smaller than 1,000,000.  [#permalink]

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30 Jun 2015, 20:51
1
reto wrote:
X is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can X be?

A. 300,000
B. 349,999
C. 350,000
D. 399,999
E. 400,000

Even Integers from 1 to 1,000,000(inclusive) = 1,000,000/2 = 500,000
Even Integers Less than 1,000,000 = 500,000 - 1 = 499,999

Even Integers from 1 to 300,000(inclusive) = 300,000/2 = 150,000

i.e. Even Integers Greater than 300,000 and Less than 1,000,000 = 499,999 - 150,000 = 349,999

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Re: X is an even integer greater than 300,000 and smaller than 1,000,000.  [#permalink]

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02 Sep 2017, 14:57
reto wrote:
X is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can X be?

A. 300,000
B. 349,999
C. 350,000
D. 399,999
E. 400,000

To find the number of multiples between any set of numbers simply subtract the greatest multiple of that number in the set from the smallest multiple of that number in that set and divide it by the number and then add 1

[100,000,000-700,000] /2 + 1 =

351,000

but 1,000,000 and 700,000 don't count so

B
Re: X is an even integer greater than 300,000 and smaller than 1,000,000.   [#permalink] 02 Sep 2017, 14:57
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