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28 Nov 2023, 07:39
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
39% (02:26) correct
61%
(02:37)
wrong
based on 36
sessions
History
Date
Time
Result
Not Attempted Yet
If y is an integer, is y a prime number of the form 4k-1, where k is a positive integer
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
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) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
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
28 Nov 2023, 14:54
Kudos
Bookmarks
Syumbel1
If y is an integer, is y a prime number of the form 4k-1, where k is a positive integer
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
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) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
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) (7y^9+6)^2/4 is an integer
\(\frac{49y^{18} +36 +84y^9}{4} =\) Integer
Hence \(y\) must be divisible by \(4\)
If \(y\) is divisble by \(4\) then \(y \) is not a prime
SUFF.
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
\(1\) is neither prime nor composite
Hence (7y^5-222)^2/8 =1
We can solve for \(y.\)
SUFF.
Ans D
Hope it helped.
21 Dec 2023, 21:02
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stne
Syumbel1
If y is an integer, is y a prime number of the form 4k-1, where k is a positive integer
1) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
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) (7y^9+6)^2/4 is an integer
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
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) (7y^9+6)^2/4 is an integer
\(\frac{49y^{18} +36 +84y^9}{4} =\) Integer
Hence \(y\) must be divisible by \(4\)
If \(y\) is divisble by \(4\) then \(y \) is not a prime
SUFF.
2) (7y^5-222)^2/8 is a positive integer, which is neither prime nor composite
\(1\) is neither prime nor composite
Hence (7y^5-222)^2/8 =1
We can solve for \(y.\)
SUFF.
Ans D
Hope it helped.
