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AbdurRakib
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Is the integer n a prime number?
(1) 24 \(\leq\) n \(\leq\) 28
(2) n is not divisible by 2 or 3
OG Q 2017 New Question(Book Question: 218)
(1) 24 \(\leq\) n \(\leq\) 28
(2) n is not divisible by 2 or 3
OG Q 2017 New Question(Book Question: 218)
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Schools: Schulich '16
Posts: 190
A
1)none of the numbers 24,25,26,27,28 are prime.so suff
2) there are many numbers not divisible by 2 or 3 foe e.g. 55 or 7(former is not prime latter is)
1)none of the numbers 24,25,26,27,28 are prime.so suff
2) there are many numbers not divisible by 2 or 3 foe e.g. 55 or 7(former is not prime latter is)
Great Official Question
Here we need to find whether the concern integer n is prime or not
Statement 1
[24,28]=n
n=> 24=> divisible by 2
n=> 25=> divisible by 5
n=26 => divisible by 2
n=27 => divisible by 3
n=28 => divisible by 2
hence n is never prime
Hence Sufficient
Statement 2
n=5
n=25
taking the above two test cases we can discard the statement.
P.S=> This statement is just saying that 2 and 3 are not prime factors of n.
Hence A
Here we need to find whether the concern integer n is prime or not
Statement 1
[24,28]=n
n=> 24=> divisible by 2
n=> 25=> divisible by 5
n=26 => divisible by 2
n=27 => divisible by 3
n=28 => divisible by 2
hence n is never prime
Hence Sufficient
Statement 2
n=5
n=25
taking the above two test cases we can discard the statement.
P.S=> This statement is just saying that 2 and 3 are not prime factors of n.
Hence A
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AbdurRakib
None of the integers in statement 1) are prime
24 is divisible by 2
25 is divisible by 5
26 is divisible by 2
27 is divisible by 3
28 is divisible by 2
We get a sufficient answer that n is not prime.
Statement 2)
Well 5 is a prime and not divisible by neither 2 nor 3
25 is not a prime and is not divisible by neither 2 nor 3.
Insufficient.
Answer choice A
Is the integer n a prime number?
(1) 24 \(\leq\) n \(\leq\) 28
n can be 24, 25, 26, 27, 28. None of these numbers are prime. SUFFICIENT.
(2) n is not divisible by 2 or 3
n could be prime or not prime. For example, n could be 7 (prime) or 55 (not prime)
(1) 24 \(\leq\) n \(\leq\) 28
n can be 24, 25, 26, 27, 28. None of these numbers are prime. SUFFICIENT.
(2) n is not divisible by 2 or 3
n could be prime or not prime. For example, n could be 7 (prime) or 55 (not prime)
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Expert reply
Posts: 22,736
AbdurRakib
Solution:
Question Stem Analysis:
We need to determine whether integer n is a prime number.
Statement One Alone:
We see that n could be 24, 25, 26, 27, or 28. Since none of these numbers are prime, the answer to the question is no. Statement one alone is sufficient.
Statement Two Alone:
Statement two alone is not sufficient. For example, if n = 5, then n is a prime. However, if n = 35, then n is not a prime. Statement two alone is not sufficient.
Answer: A
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