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D
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Difficulty:
25%
(medium)
Question Stats:
80% (01:01) correct
20%
(01:37)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(4^k > 1,000?\)
(1) \(4^k + 1 > 4,000\)
(2) \(4^k − 1 = 256\)
correct version of this question is here: is-4-k-1-000-1-4-k-1-4-000-2-4-k-367441.html
(1) \(4^k + 1 > 4,000\)
(2) \(4^k − 1 = 256\)
correct version of this question is here: is-4-k-1-000-1-4-k-1-4-000-2-4-k-367441.html
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02 Aug 2021, 01:22
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Is 4^k>1,000?
(1) 4^k+1>4,000
(2) 4^k−1=256
The answer should be in Yes or No form.
Statement 1: 4^k+1>4,000
=> 4^k > 3,999 than we can definitely say that 4^k>1,000
Hence, is 4^k>1,000------Yes
Statement 2: 4^k−1=256
=> 4^k = 257 which is less than 1000.
Therefore, is 4^k>1,000 ------No
EACH statement ALONE is sufficient to answer the question asked, hence, option (D) is correct.
(1) 4^k+1>4,000
(2) 4^k−1=256
The answer should be in Yes or No form.
Statement 1: 4^k+1>4,000
=> 4^k > 3,999 than we can definitely say that 4^k>1,000
Hence, is 4^k>1,000------Yes
Statement 2: 4^k−1=256
=> 4^k = 257 which is less than 1000.
Therefore, is 4^k>1,000 ------No
EACH statement ALONE is sufficient to answer the question asked, hence, option (D) is correct.
29 Aug 2021, 04:48
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taha1234
Even though both the statements alone are sufficient to answer the question, they contradict each other (Statement 1 yields yes and 2 yields no). As far as I can tell, DS statements cannot contradict each other.
