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number system

Expert replies
by vipulgoyal » Mon Jul 08, 2013 2:40 am
Number x is obtained by inserting two "+"s into the ordered numbers 1, 2, 3, 4, and 5, for example, 1+23+45=69. Is x odd?
(1) x>100
(2) x<300
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Source: — Problem Solving |

by faraz_jeddah » Mon Jul 08, 2013 3:45 am
Statement 1:

x > 100

x = 1 + 2 + 345 = 348 (EVEN)
x = 1 + 234 + 5 = 240 (EVEN)
x = 123 + 4 + 5 = 132 (EVEN)

No matter where you place the + signs, x will always be even and NOT ODD ==> Sufficient


Statement 2:

x < 300

1 + 23 + 45 = 69 (ODD)
1 + 234 + 5 = 240 (EVEN)

Multiple answers and cannot say with certainty ==> Not Sufficient


OA should be A

Hope that helps.
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by vipulgoyal » Mon Jul 08, 2013 4:14 am
what about 312 + 4 + 5 = 321
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by Brent@GMATPrepNow » Mon Jul 08, 2013 7:28 am
vipulgoyal wrote:what about 312 + 4 + 5 = 321
Good idea, but the question says that the numbers (1, 2, 3, 4, 5) are ordered. So, they must stay in that order. Your example does not preserve the order.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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