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
inequalities
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(1) x > 450sud21 wrote:100<X<1000, does integer x have a digit greater than 5?
1). X>450
2). X>550
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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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.
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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