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If ‘x’ and ‘y’ are non-negative integers, what is the value of x + y?
(1) x4 is even, where x is a prime number.
(2) xy is odd.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If ‘x’ and ‘y’ are non-negative integers, what...
(1) x = 2, y is unknown. Insufficient

(2) x and y unknown. Insufficient

(1)+(2) only possibility x=2, y=0; Sufficient

C is correct
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Most Upvoted Answer
If ‘x’ and ‘y’ are non-negative integers, what...
(1) x = 2, y is unknown. Insufficient

(2) x and y unknown. Insufficient

(1)+(2) only possibility x=2, y=0; Sufficient

C is correct
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Community Answer
If ‘x’ and ‘y’ are non-negative integers, what...
In my opinion two statements contradicts each othe bkz in option 1 clearly x=2
but in option 2 x power y is odd , implies x is odd.
so no need to combine even .it's a non GMAT framed qn.
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If ‘x’ and ‘y’ are non-negative integers, what is the value of x + y?(1) x4 is even, where x is a prime number.(2) xy is odd.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?
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