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11 Oct 2019, 02:15
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If n is a single-digit positive integer, what is the value of n?
(1) n + 4 is a two-digit integer.
(2) n has only two factors.
(1) n + 4 is a two-digit integer.
(2) n has only two factors.
11 Oct 2019, 02:29
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Since N is a single digit positive number ..
It means we the possible values could be either of (1,2,3,4,5,6,7,8,9)
Statement 1 says : N+ 4 is a double digit number, and from the above options, only 4 numbers satisfy that condition
Which is 6,7,8, and
Hence it's insufficient
Statement 2: N has only 2 factor. This means N has to be a prime number because those are the only one's with 2 factors.
By this statement, 4 numbers from our initial range satisfy this condition
2, 3,5, and 7
This is still insuficient
But by combining both statement 1 and 2 , the only number that satisfies the condition is 7.
Hence this is sufficient
Option C is the answer.
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It means we the possible values could be either of (1,2,3,4,5,6,7,8,9)
Statement 1 says : N+ 4 is a double digit number, and from the above options, only 4 numbers satisfy that condition
Which is 6,7,8, and
Hence it's insufficient
Statement 2: N has only 2 factor. This means N has to be a prime number because those are the only one's with 2 factors.
By this statement, 4 numbers from our initial range satisfy this condition
2, 3,5, and 7
This is still insuficient
But by combining both statement 1 and 2 , the only number that satisfies the condition is 7.
Hence this is sufficient
Option C is the answer.
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11 Oct 2019, 03:58
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Bunuel
If n is a single-digit positive integer, what is the value of n?
(1) n + 4 is a two-digit integer.
(2) n has only two factors.
(1) n + 4 is a two-digit integer.
(2) n has only two factors.
(1) n + 4 is a two-digit integer.
--> Possible values of n = 6, 7, 8, 9 --> Insufficient
(2) n has only two factors.
--> n is a prime number
--> Possible values of n = 2, 3, 5, 7 --> Insufficient
Combining (1) & (2),
Possible value of n = 7 --> Unique value --> Sufficient
IMO Option C
