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When integer y is divided by 2, is the remainder 1?
(1) (−1)(y+2) = −1
(2) y is prime.
- 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 'A'. Can you explain this answer?
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When integer y is divided by 2, is the remainder 1?(1)(−1)(y+2)=...
The correct answer is: (A)
(1) That (–1)(y+2) =−1, dictates that y + 2 must be odd and therefore y is odd since only an odd exponent can produce a value < 0. Furthermore, if an odd number is divided by 2, the remainder must be 1; SUFFICIENT.
(2) That y is prime does not definitively identify y as definitively even or odd, so the remainder could be either 0 or 1; NOT SUFFICIENT.
The correct answer is A; statement 1 alone is sufficient.
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When integer y is divided by 2, is the remainder 1?(1)(−1)(y+2)=...
Yes, the remainder is 1.
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When integer y is divided by 2, is the remainder 1?(1)(−1)(y+2)= −1(2)yis prime.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 'A'. Can you explain this answer?
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