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01 May 2012, 02:19
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D
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Difficulty:
25%
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79% (01:43) correct
21%
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based on 629
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If k is a positive integer and n=7.049*10^k, what is the value of k?
(1) 7,500 < n < 75,000
(2) 10^4<n<10^5
(1) 7,500 < n < 75,000
(2) 10^4<n<10^5
Guys my approach
a) 1<n<10
1< 7.049 * 10^k<10
10^k=10^0 = 1(now my concern here is when it is mentioned that k is a positive integer it can be zero also)
1<7<10
Sufficient
b) 1<n<10
same put value of n you ill get k=0
https://gmatclub.com/forum/if-n-is-a-pos ... 14026.html
according to Karishma in the above post if k is positive integer, it is at least 1.
Pls clarify the correct interpretation of k is positive integer
a) 1<n<10
1< 7.049 * 10^k<10
10^k=10^0 = 1(now my concern here is when it is mentioned that k is a positive integer it can be zero also)
1<7<10
Sufficient
b) 1<n<10
same put value of n you ill get k=0
https://gmatclub.com/forum/if-n-is-a-pos ... 14026.html
according to Karishma in the above post if k is positive integer, it is at least 1.
Pls clarify the correct interpretation of k is positive integer
01 May 2012, 02:37
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Bookmarks
GMATD11
If k is a positive integer and n=7.049*10^k, what is the value of k?
(1) 7,500 < n < 75,000
(2) 10^4<n<10^5
Guys my approach
a) 1<n<10
1< 7.049 * 10^k<10
10^k=10^0 = 1(now my concern here is when it is mentioned that k is a positive integer it can be zero also)
1<7<10
Sufficient
b) 1<n<10
same put value of n you ill get k=0
if-n-is-a-positive-integer-and-k-5-1-x-10-n-what-is-the-114026.html
according to Karishma in the above post if k is positive integer, it is at least 1.
Pls clarify the correct interpretation of k is positive integer
(1) 7,500 < n < 75,000
(2) 10^4<n<10^5
Guys my approach
a) 1<n<10
1< 7.049 * 10^k<10
10^k=10^0 = 1(now my concern here is when it is mentioned that k is a positive integer it can be zero also)
1<7<10
Sufficient
b) 1<n<10
same put value of n you ill get k=0
if-n-is-a-positive-integer-and-k-5-1-x-10-n-what-is-the-114026.html
according to Karishma in the above post if k is positive integer, it is at least 1.
Pls clarify the correct interpretation of k is positive integer
Stem explicitly says that "k is a positive integer", so k>0 (notice that zero is neither positive nor negative).
If k is a positive integer and n=7.049*10^k, what is the value of k?
Since k is a positive integer then n can be:
70.49, for k=1;
704.9, for k=2;
7049, for k=3;
70490, for k=4;
...
(1) 7,500 < n < 75,000 --> there is only one such number in this range: 70,490. Sufficient.
(2) 10^4<n<10^5 --> 10,000<n<100,000, again there is only one such number in this range: 70,490. Sufficient.
Answer: D.
20 May 2022, 08:05
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GMATD11
If k is a positive integer and n=7.049*10^k, what is the value of k?
(1) 7,500 < n < 75,000
(2) 10^4 < n < 10^5
Given: n = (7.049)(10^k) (1) 7,500 < n < 75,000
(2) 10^4 < n < 10^5
Target question: What is the value of k?
Before examining the statements, let's examine a few possible values of n by testing different k-values.
If k = 2, then n = (7.049)(10^k) = (7.049)(10^2) = (7.049)(100) = 704.9
If k = 3, then n = (7.049)(10^k) = (7.049)(10^3) = (7.049)(1,000) = 7,049
If k = 4, then n = (7.049)(10^k) = (7.049)(10^4) = (7.049)(10,000) = 70,490
If k = 5, then n = (7.049)(10^k) = (7.049)(10^5) = (7.049)(100,000) = 704.900
etc
Statement 1: (1) 7,500 < n < 75,000
Since 70,490 is the only n-value that fits in that range, it must be the case that k = 4
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: 10^4 < n < 10^5
In other words, 10,000 < n < 100,000
Since 70,490 is the only n-value that fits in that range, it must be the case that k = 4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
