2. 外语
  3. Can the positive integer n be written as the sum of two different positive prime numbers? (1) n is greater than 3. (2) n is odd

Can the positive integer n be written as the sum of two different positive prime numbers? (1) n is greater than 3. (2) n is odd

admin2022-10-18  95
问题 Can the positive integer n be written as the sum of two different positive prime numbers?
(1) n is greater than 3.
(2) n is odd.
选项 A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案E
解析 Determine if the positive integer n can be written as the sum of two different positive prime numbers.
(1)     It is given that n > 3. If n = 5, then n = 2 + 3 and 2 and 3 are different positive prime numbers. However, n = 11, then n can be written as the following sums of two different positive numbers: 1 + 10,2 + 9, 3 + 8,4 + 7, and 5 + 6. In no case are the addends both prime; NOT sufficient.
(2)     It is given that n is odd. The values of n in the examples used to show that (1) is not sufficient also satisfy (2); NOT sufficient.
Taken together, (1) and (2) are not sufficient because the same examples used to show that (1) is not sufficient also show that (2) is not sufficient.
The correct answer is E;
both statements together are still not sufficient.
转载请注明原文地址:https://kaotiyun.com/show/ettO777K
本试题收录于： GMAT QUANTITATIVE题库GMAT分类
0

GMAT QUANTITATIVE

GMAT

相关试题推荐
随机试题
最新回复(0)