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24 May 2021, 05:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (00:57) correct
26%
(01:35)
wrong
based on 100
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Given that \(0.0010010 * 10^q > 10^3\), and q is an integer, which of the following is the smallest possible value of q?
A. 3
B. 4
C. 5
D. 6
E. 7
A. 3
B. 4
C. 5
D. 6
E. 7
24 May 2021, 06:07
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0.0010010∗(10^q) > 10^3
0.0010010∗(10^q) > 1000
Looking at 0.0010010, we can see 1001 (0.0010010) which is larger than 1000. How many decimal places must be move the second 1 to the left to get 1001? 6. Therefore k = 6
Answer D
0.0010010∗(10^q) > 1000
Looking at 0.0010010, we can see 1001 (0.0010010) which is larger than 1000. How many decimal places must be move the second 1 to the left to get 1001? 6. Therefore k = 6
Answer D
24 May 2021, 06:19
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Bunuel
We need the minimum value of q such that:
0.0010010 * 10^q > 10^3
=> 1.0010 * 10^(-3) * 10^q > 10^3
=> 1.0010 > 10^(6-q)
Obviously, 1.0010 > 1
Thus, to minimise q, we have:
6-q = 0 (since 10^0 = 1)
=> q = 6
Note:
0.0010010 * 10^6
= 1001 > 1000 = 10³
Answer D
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