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11 Oct 2016, 02:23
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
58% (01:51) correct
42%
(01:59)
wrong
based on 221
sessions
History
Date
Time
Result
Not Attempted Yet
If a is an integer, is a < 4 ?
(1) \(10^{(-2a + 2)} < 0.001\)
(2) \(10^{(-2a)} < 0.0001\)
(1) \(10^{(-2a + 2)} < 0.001\)
(2) \(10^{(-2a)} < 0.0001\)
11 Oct 2016, 05:09
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1. 10^(-2a+2) < 10^-3
-2a + 2 < -3
-2a < -5
Here a>2.5
3, is less than 4 but any integer more than that is not.
Hence, not sufficient
2. 10^(-2a) > 10^-4
-2a > -4
a<2
This statement alone is sufficient. Hence option B is the correct answer
-2a + 2 < -3
-2a < -5
Here a>2.5
3, is less than 4 but any integer more than that is not.
Hence, not sufficient
2. 10^(-2a) > 10^-4
-2a > -4
a<2
This statement alone is sufficient. Hence option B is the correct answer
11 Oct 2016, 10:50
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Bunuel
Statement 1:
We can write as \(10^{(-2a + 2}) < 10^{(-3)}\)
As bases are same we can compare powers,
\(-2a + 2 < -3\) ,
\(-2a < -5\);
\(a > 2.5\)
\(" a "\) can be less than or anything more than 4 so NOT SUFFICIENT.
Statement 2:
Same as above,
\(-2a > -4\) ;
\(a < 2\)
For sure we can say \(a < 4\)
SUFFICIENT (B)
