stmnt 1: n-1 = m^4
if m=1, n=1+1=2 a prime , n not equal to 17
if m=2, n=16+1=17
not sufficient, gives both yes and no
stmnt 2: n^2 < 300
n can be 17, 17^2=289<300
n can be any other prime, say 2, 3, 5. doesnt give definite yes or no
not suff
combining,
again for m=1 we get n=2
m=2 we get n=17 (square of both <300)
no definite yes or no
E
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number property
Source: Beat The GMAT — Data Sufficiency |
1 has at least two answers:
2 - 1 = 1 = 1^4
17 - 1 = 16 = 2^4
Both 2 and 17 are prime numbers, so we can't tell if n is actually 2 or 17.
2 has a lot of answers: it's basically any prime number from 2 to 17.
Put them together and it's still not enough, since both 2 and 17 have sqares (4 and 289) smaller than 300.
So it's E
2 - 1 = 1 = 1^4
17 - 1 = 16 = 2^4
Both 2 and 17 are prime numbers, so we can't tell if n is actually 2 or 17.
2 has a lot of answers: it's basically any prime number from 2 to 17.
Put them together and it's still not enough, since both 2 and 17 have sqares (4 and 289) smaller than 300.
So it's E
I think the answer should be E.
Statement I
n-1 = m^4 has many solutions not just 17. For example 257 is a prime number that satisfies this equation and so is prime number 2.
So statement 1 is clearly not sufficient.
Statement 2
n^2 < 300
This narrows n to prime numbers less than or equal to 17. Still we have 2 and 17 that both satisfy this condition.
So Statement 2 is clearly not sufficient.
Combining both the statements we still have 2 values for n - 2 and 17. So the answer should be E.
Statement I
n-1 = m^4 has many solutions not just 17. For example 257 is a prime number that satisfies this equation and so is prime number 2.
So statement 1 is clearly not sufficient.
Statement 2
n^2 < 300
This narrows n to prime numbers less than or equal to 17. Still we have 2 and 17 that both satisfy this condition.
So Statement 2 is clearly not sufficient.
Combining both the statements we still have 2 values for n - 2 and 17. So the answer should be E.
