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If list P contains more than two numbers, is every number in P equal

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Bunuel
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If list P contains more than two numbers, is every number in P equal [#permalink] New post   06 May 2021, 22:00
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E

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25% (medium)

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76% (01:12) correct 24% (01:07) wrong based on 74 sessions
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If list P contains more than two numbers, is every number in P equal to zero?


(1) The sum of all the numbers in P is zero.

(2) The sum of any two numbers in P is even.
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E
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Re: If list P contains more than two numbers, is every number in P equal [#permalink] New post   07 May 2021, 00:10
Quote:
If list P contains more than two numbers, is every number in P equal to zero?

Lets take three numbers in the list P

(1) The sum of all the numbers in P is zero.
Case 1: 0,0,0
Case 2: -2, 0, 2
Insufficient

(2) The sum of any two numbers in P is even.
Case 1: 0,0,0
Case 2: -2, 0, 2
Insufficient

(1)+(2)
Considering the same cases
Insufficient

IMO E
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Re: If list P contains more than two numbers, is every number in P equal [#permalink] New post   07 May 2021, 00:22
If list P contains more than two numbers, is every number in P equal to zero?


(1) The sum of all the numbers in P is zero.
Case I: 3, 2, -5 NO
Case II: 0, 0, 0 YES

INSUFFICIENT.

(2) The sum of any two numbers in P is even.
Case I: 2, 4, 6 OR 3, 5, 7 NO
Case II: 0, 0, 0 YES

INSUFFICIENT.

Together 1 and 2
Case II is possible in both statements.

Case III: -2, 0, 2 NO

INCUFFICEINT.

Answer E.
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Re: If list P contains more than two numbers, is every number in P equal [#permalink] New post   21 Jun 2021, 20:43
An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder. So, ..., -4, -2, 0, 2, 4, ... are all even integers.

An odd number is an integer that is not evenly divisible by 2. So, ..., -3, -1, 1, 3, 5, ... are all odd integers.
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Re: If list P contains more than two numbers, is every number in P equal [#permalink]
21 Jun 2021, 20:43
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Bunuel
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