If K is an integer and 2 < k < 8, what is the value of k?
1) k is a factor of 30
2) k is a factor of 12.
1) k is a factor of 30
2) k is a factor of 12.
Target question: What is the value of k?j_shreyans wrote:If K is an integer and 2 < k < 8, what is the value of k?
1) k is a factor of 30
2) k is a factor of 12.
Given: k is an integer and 2 < k < 8
So, k = 3, 4, 5, 6, or 7
Statement 1: k is a factor of 30
The positive factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
Since 2 < k < 8, we know that k = 3, 5 or 6
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: k is a factor of 12
The positive factors of 12 are 1, 2, 3, 4, 6, and 12
Since 2 < k < 8, we know that k = 3, 4 or 6
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that k = 3, 5 or 6
Statement 2 tells us that k = 3, 4 or 6
So, it's still possible that k = 3 or 6
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer = E
Cheers,
Brent
