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28 Nov 2023, 07:45
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:01) correct
33%
(01:59)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
If P is an odd positive integer such that P<75, then is the number of distinct factors of P greater than 2?
1) P+2 ends with 9
2) P isn't a multiple of 3
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
1) P+2 ends with 9
2) P isn't a multiple of 3
a) Statement 1) ALONE is sufficient but statement 2) ALONE isn't sufficient
b) Statement 2) ALONE is sufficient but statement 1) ALONE isn't sufficient
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE isn't sufficient
d) EACH statement ALONE is sufficient
e) Statement 1) and 2) TOGETHER aren't sufficient
01 Dec 2023, 11:09
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Stat1: P has a units digit of 7
P can be 17, 27
17 has 2 distinct factors (1, 17)
27 has more than 2 distinct factors (1,27,9,3)
Insufficient
Stat2: P isnt a multiple of 3. This is clearly insufficient as P may or may not be prime no.
Stat1+ Stat2 gives: P = 7, 17, 37, 47, 67
All these are prime nos. and have only 2 distinct factors
Option C!
P can be 17, 27
17 has 2 distinct factors (1, 17)
27 has more than 2 distinct factors (1,27,9,3)
Insufficient
Stat2: P isnt a multiple of 3. This is clearly insufficient as P may or may not be prime no.
Stat1+ Stat2 gives: P = 7, 17, 37, 47, 67
All these are prime nos. and have only 2 distinct factors
Option C!
03 Sep 2025, 01:28
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then is the number of distinct factors of P greater than 2?
So basically we have to check if P is prime or not.
Statement1: Only tells us that the unit digit of P is 7.
Statement2: Removes any multiples of 3 from set [1,75].
1+2: Gives us 17, 37, 47, 67 All of which are prime numbers with only 2 factors that are distinct. That is NO, they do not have number of distinct factors greated than 2. And in a Yes/No question a Clear No is sufficient. Thus, Option C
So basically we have to check if P is prime or not.
Statement1: Only tells us that the unit digit of P is 7.
Statement2: Removes any multiples of 3 from set [1,75].
1+2: Gives us 17, 37, 47, 67 All of which are prime numbers with only 2 factors that are distinct. That is NO, they do not have number of distinct factors greated than 2. And in a Yes/No question a Clear No is sufficient. Thus, Option C
