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What is a certain number between 100 and 500?

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by CrackGMAC » Thu Aug 27, 2009 8:02 am
62. Is 0.n68<1/n?
1). n<5
2). 0.n68<1/n^2

IMO: [spoiler]C[/spoiler]

63. What is a certain number between 100 and 500?
1). The product of three digits is 30.
2). The tens' digit is lager than the units' digit. IMO [spoiler]E - 253, 352[/spoiler]
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Source: — Problem Solving |

by heshamelaziry » Thu Aug 27, 2009 11:54 pm
We have to take the two statements together to answer the question:

1) this choice gives two optios for the number, 235 and 325.

2) This option gives many numbers between 100 and 500.

Both restrictions on the number lead to number 235 only.

Please confirm my explanation !
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by CrackGMAC » Fri Aug 28, 2009 2:47 am
Isn't 325 b/w 100 & 325
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by scoobydooby » Fri Aug 28, 2009 9:09 am
for #62, i get B

st 1. n<5
if n=1, 0.168<1 =>yes 0.n68<1/n
if n=4, 0.468>0.250=> no 0.n68>1/n
not sufficient

st 2 0.n68< 1/n^2
n must be an integer. n can be 0 and 1 (for other values 0.n68 is not less than 1/n^2)

0.n68 must be <1/n
sufficient, hence B


for #63 i get E

st 1. the number can be 235, 253, 325, 352 not sufficient

st 2. many possibilites. not sufficient

together, 253 or 352 possible. no definite answer.
hence, E
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by CrackGMAC » Wed Sep 16, 2009 8:01 am
Same here for 63- scoobydooby. Thanks

For 62. In B we can't take n =0 because "1/n" will be infinite? Please confirm.
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