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11 Jun 2018, 06:20
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A
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:
81% (00:49) correct
19%
(00:52)
wrong
based on 27
sessions
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Not Attempted Yet
Is the positive integer x an even number?
1) The smallest prime factor of x is 3.
2) The greatest prime factor of x is 17.
1) The smallest prime factor of x is 3.
2) The greatest prime factor of x is 17.
11 Jun 2018, 06:20
Kudos
Bookmarks
Official Solution:
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. So, we should first consider each condition on its own.
Condition 1)
Since all prime factors of x are greater than or equal to 3, 2 is not a prime factor of x, and x is not an even number.
The answer is 'no'.
This condition is sufficient by CMT (Common Mistake Type) 1, which tells us that the unique answer 'no' also means that the condition is sufficient.
Condition 2)
If x = 2*17 = 34, then the answer is 'yes'.
If x = 17, then the answer is 'no'.
Since we do not have a unique answer, condition 2) is not sufficient.
Therefore, the answer is A. Answer: A
Answer: A
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Since we have 1 variable (x) and 0 equations, D is most likely to be the answer. So, we should first consider each condition on its own.
Condition 1)
Since all prime factors of x are greater than or equal to 3, 2 is not a prime factor of x, and x is not an even number.
The answer is 'no'.
This condition is sufficient by CMT (Common Mistake Type) 1, which tells us that the unique answer 'no' also means that the condition is sufficient.
Condition 2)
If x = 2*17 = 34, then the answer is 'yes'.
If x = 17, then the answer is 'no'.
Since we do not have a unique answer, condition 2) is not sufficient.
Therefore, the answer is A. Answer: A
Answer: A
