Is the integer P odd?

Question

(1) The sum of P, P + 4, and P+ 11 is even. 
(2) The sum of P – 3, P, and P+ 11 is odd.

mau5 · Accepted Answer

(1)p+p+4+p+11 = 3p+15 = even --> 3p = even-odd = odd. Thus, as 3p = odd, p has to be odd.Sufficient.

(2)p-3+p+p+11 = 3p+8 = odd --> 3p = odd-even = odd , just as above, p is odd. Sufficient.

D.

jrzayev001 · Answer

What about P to be zero?

mau5 · Answer

p cannot be zero, because then the given fact statements will not hold good. Think about it.

jrzayev001 · Answer

Yes, i did not think about that

irda · Answer

Is the integer P odd?

(1) The sum of P, P + 4, and P+ 11 is even. 
(2) The sum of P – 3, P, and P+ 11 is odd.

St 1: Let us add all the terms; we get,

3P + 15 = even ..... Hence, 3P is odd ( since even - 15 = Odd)
Therefore P is odd
Sufficient.

St 2: Let us add all the terms; we get,

3P + 8 = odd .... Hence, 3P is odd (since, odd- 8 = odd)
Therefore P is odd
Sufficient.

Answer D

HITMAN09 · Answer

St 1: P + P+4+P+11 = 3p +15 =3(P+5) = Even
 Odd * Even ( Odd + Odd) = Even

St 2: P-3+P+P+11 = 3P + 8 = Odd
 Odd (Odd * Odd) + Even = Odd

Hence, D

Mpuneet · Answer

1 means 3p + 15 is even, so 3p is odd, 
so yes p is odd

2 means 3p + 8 is odd, so 3p is odd - 8 = odd
So p is odd.

D it is

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Is the integer P odd?

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Is the integer P odd?

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