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Bunuel
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 03:23
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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:

5% (low)

Question Stats:

94% (00:43) correct 6% (00:37) wrong based on 79 sessions

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Is v^2 an even integer?

(1) v is an even integer
(2) \(\sqrt{v}\) is an even integer


Project DS Butler Data Sufficiency (DS3)


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D
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 04:08
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(1) If v is an even integer, v² will be v*v or even*even which we know is an even quantity. Clearly, sufficient.

(2) If √v is an even integer, v² will be √v*√v*√v*√v or even*even*even*even which is know is an even quantity. Clearly, sufficient.

Hence, both the statements are individually sufficient, option D.

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GMAT 2: 760 Q50 V42
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 04:49
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Pre-thinking
"Is v^2 an even integer" is equivalent with "is v an even integer"?

(1)Only
Matches pre-thinking. Sufficient.

(2)Only
So v is an even number squared.
V is thus an even number.
Sufficient.

The answer is (D).
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 06:40
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Bunuel
Is v^2 an even integer?

(1) v is an even integer
(2) \(\sqrt{v}\) is an even integer


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here
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Even X Even = Even

1) If v is even then\( v^2 \)is Even X Even = Even. Sufficient
2) \(\sqrt{v}\) is an even integer -> v^2 = Even X Even X Even X Even = Even. Sufficient

Ans D
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 10:25
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zhanbo
Pre-thinking
"Is v^2 an even integer" is equivalent with "is v an even integer"?

(1)Only
Matches pre-thinking. Sufficient.

(2)Only
So v is an even number squared.
V is thus an even number.
Sufficient.

The answer is (D).
Show more

The pre-thinking isn't quite right. For this reason, a reformed version of this question would be significantly harder:

Is v an even integer?

1). v^2 is an even integer

2). √v is an even integer


I do this question in my classes sometimes. In my years of teaching, I honestly think fewer than 15% of my students get this question right. Statement 1 is very, very tempting--but it's not sufficient.

Instead of picking v's and seeing which follow the rule, pick v^2s.

v^2 must be an even integer, so v^2 could be:

2
4
6
8
10
12... etc.

It becomes immediately clear why this statement is not sufficient.

v cold be √2 (not an even integer) or 2 (an even integer).

But it's so easy to assume 'integers' and, since 'fractions' don't work in this instance, think any non-integers aren't in play.
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 10:59
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ReedArnoldMPREP
zhanbo
Pre-thinking
"Is v^2 an even integer" is equivalent with "is v an even integer"?

(1)Only
Matches pre-thinking. Sufficient.

(2)Only
So v is an even number squared.
V is thus an even number.
Sufficient.

The answer is (D).

The pre-thinking isn't quite right. For this reason, a reformed version of this question would be significantly harder:

Is v an even integer?

1). v^2 is an even integer

2). √v is an even integer


I do this question in my classes sometimes. In my years of teaching, I honestly think fewer than 15% of my students get this question right. Statement 1 is very, very tempting--but it's not sufficient.

Instead of picking v's and seeing which follow the rule, pick v^2s.

v^2 must be an even integer, so v^2 could be:

2
4
6
8
10
12... etc.

It becomes immediately clear why this statement is not sufficient.

v cold be √2 (not an even integer) or 2 (an even integer).

But it's so easy to assume 'integers' and, since 'fractions' don't work in this instance, think any non-integers aren't in play.
Show more

Very interesting question, and I must admit I did fall into the trap. Thank you for posting. Also, just to confirm is the answer to this B? I can't think of any case that would make B insufficient, but I wouldn't be surprised if there was one.

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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 04 Feb 2022, 11:07
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Yes the correct answer would be B. If √v is an even integer, √v could be:

2
4
6
8
10...

Meaning v is

4
16
36
64
100...

(any even perfect square, which are all even integers).
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Is v^2 an even integer? (1) v is an even integer (2) √v is an even 06 Feb 2022, 11:25
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Is v^2 an even integer?

Stat1: v is an even integer, then v^2 must be an integer. Sufficient

Stat2: √v is an even integer, then v^2 must be an integer. Sufficient

So, I think D. :)
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