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inequalities

Expert replies
Source: — Data Sufficiency |

by avik.ch » Sun Jan 15, 2012 10:02 pm
1. X>450

460 : yes
510 : no

not sufficient

2. X>550.

We cannot have a value less than 5 in any number. Sufficient

IMO : B
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by Anurag@Gurome » Sun Jan 15, 2012 10:25 pm
sud21 wrote:100<X<1000, does integer x have a digit greater than 5?
1). X>450
2). X>550
(1) x > 450
Since x is greater than 450 and less than 1000, so x can be 490 (here 9 is greater than 5)or x can be 453 (no digit is greater than 5).
x may or may not have a digit greater than 5, no definite answer; NOT sufficient.

(2) x > 550

Since x is greater than 550 and less than 1000, so x can be 551 (no digit is greater than 5)or x can be 990 (here 9 is greater than 5).
x may or may not have a digit greater than 5, no definite answer; NOT sufficient.

Combining (1) and (2), again we do not get a definite answer; NOT sufficient.

The correct answer should be E.
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by ronnie1985 » Sun Jan 15, 2012 10:25 pm
S1.
x> 450
x = 451 all digits <=5
x = 460, 6>5. NS

S2.
x>550
x = 551 no digit >5
x = 560, 6>5
NS

Comb
x>550
NS

(E) is the answer.
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