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18 Jun 2013, 09:16
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
43% (01:42) correct
57%
(01:31)
wrong
based on 299
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Is x=1?
(1) If x were rounded to the nearest thousandth, the result would be 1
(2) If x were rounded to the nearest tenth, the result would be equal to the exact value of x
(1) If x were rounded to the nearest thousandth, the result would be 1
(2) If x were rounded to the nearest tenth, the result would be equal to the exact value of x
22 Jun 2013, 12:42
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Good question. +1.
1234.567
1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
Is x=1?
(1) If x were rounded to the nearest thousandth, the result would be 1.
This implies that x is of the form 1.000b..., where b can be 0, 1, 2, 3, or 4. So, x can be:
1.0000...
1.0001...
1.0002...
1.0003...
1.0004...
Or x is of the form 0.999b..., where b can be 5, 6, 7, 8, or 9. So, x can be:
0.9995...
0.9996...
0.9997...
0.9998...
0.9999...
Not sufficient.
(2) If x were rounded to the nearest tenth, the result would be equal to the exact value of x.
This statement basically implies that all the digits after the tenth are zeros. Still insufficient. For example, x can be 1.1, or 2.7 or 0.1 or 1.
(1)+(2) Because of (2) we are left with only the first case from (1). So x is 1.000b and from (2) we know that the digits after the tenth in x are zeros, thus x=1. Sufficient.
Answer: C.
1234.567
1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS
Is x=1?
(1) If x were rounded to the nearest thousandth, the result would be 1.
This implies that x is of the form 1.000b..., where b can be 0, 1, 2, 3, or 4. So, x can be:
1.0000...
1.0001...
1.0002...
1.0003...
1.0004...
Or x is of the form 0.999b..., where b can be 5, 6, 7, 8, or 9. So, x can be:
0.9995...
0.9996...
0.9997...
0.9998...
0.9999...
Not sufficient.
(2) If x were rounded to the nearest tenth, the result would be equal to the exact value of x.
This statement basically implies that all the digits after the tenth are zeros. Still insufficient. For example, x can be 1.1, or 2.7 or 0.1 or 1.
(1)+(2) Because of (2) we are left with only the first case from (1). So x is 1.000b and from (2) we know that the digits after the tenth in x are zeros, thus x=1. Sufficient.
Answer: C.
General Discussion
21 Sep 2020, 17:12
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Bunuel
Why number in statement 1 can'r be 0.9999 or 0.9998? When rounded to nearest thousands x will equal 1.
Do I miss anything?
Thanks
Why number in statement 1 can'r be 0.9999 or 0.9998? When rounded to nearest thousands x will equal 1.
Do I miss anything?
Thanks
