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saurabhgoel
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 13 Dec 2010, 16:41
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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45% (medium)

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62% (01:35) correct 38% (01:45) wrong based on 402 sessions

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If y ≠ 3 and 2x/y is a prime integer greater than 2, which of the following must be true?

I. x = y
II. y = 1
III. x and y are prime integers.

(A) None
(B) I only
(C) II only
(D) III only
(E) I and II
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A
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saurabhgoel
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 13 Dec 2010, 16:44
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Let 2x/Y = K , Where k is a prime number > 2 ( 3, 5, 7, 11 ...etc)

so 2x = Ky --> ( 3y or 5y or 7y or 11y etc...)

Which implies alwasy X > Y


So answer is (A)
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 13 Dec 2010, 17:08
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saurabhgoel
35. If y ≠ 3 and 2x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.

(A) None

(B) I only

(C) II only

(D) III only

(E) I and II


I dont know the OA ? So please help ?
My pick is (A)
Show more

Note that we are asked "which of the following MUST be true", not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

So we should try to make the listed statements not true for some x and y (which satisfy y≠3 and 2x/y=prime>2).

I. x = y --> not true: x=3 and y=2 (2x/y=3=prime>2);

II. y=1 --> not necessarily true: x=3 and y=2 (2x/y=3=prime>2);

III. x and y are prime integers --> not necessarily true: x=10 and y=4 (2x/y=5=prime>2).

Answer: A.

Similar question: ps-number-property-77261.html
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 10 Mar 2011, 18:01
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Given 2x/y is prime >2

could be {3,5,7,11....}

I) x = y => 2x/y = 2 , 2 will never be prime >2 (Ruled out)
II)y=1 . Not necessarily. 2 (3)/2 = 3 which is prime and here y is 2 (Ruled out)
III)x and y are prime integers . not necessarily . (Ruled out)
2(3)/2 x and y prime
2(21)/6 x and y are not prime.

Answer is A (None)
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 11 Mar 2011, 23:09
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Bunuel
saurabhgoel
35. If y ≠ 3 and 2x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.

(A) None

(B) I only

(C) II only

(D) III only

(E) I and II


I dont know the OA ? So please help ?
My pick is (A)
Show more

Note that we are asked "which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

So we should try to make the listed statements not true for some x and y (which satisfy y≠3 and 2x/y=prime>2).

I. x = y --> not necessarily true: x=3 and y=2 (2x/y=3=prime>2);

II. y=1 --> not necessarily true: x=3 and y=2 (2x/y=3=prime>2);

III. x and y are prime integers --> not necessarily true: x=10 and y=4 (2x/y=5=prime>2).

Answer: A.


Dear bunuel
can't we go have another approach
by considering the options from 1st to 3rd
and see if 2x/y is not a prime no >2
as below
I. x = y --> then 2x/y=2 which is not greater then 2 so can't be true
II. y=1 --> then 2x/y=2 which is also not greater then 2 so can't be true
III. x and y are prime integers --> then this value will be fractional only so cant be an INTEGER so can't be true

hence A is the answer

please enlighten me for this approach :)

Regards
Puneet
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 11 Mar 2011, 23:12
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Bunuel
saurabhgoel
35. If y ≠ 3 and 2x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.

(A) None

(B) I only

(C) II only

(D) III only

(E) I and II


I dont know the OA ? So please help ?
My pick is (A)

Note that we are asked "which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

So we should try to make the listed statements not true for some x and y (which satisfy y≠3 and 2x/y=prime>2).

I. x = y --> not necessarily true: x=3 and y=2 (2x/y=3=prime>2);

II. y=1 --> not necessarily true: x=3 and y=2 (2x/y=3=prime>2);

III. x and y are prime integers --> not necessarily true: x=10 and y=4 (2x/y=5=prime>2).

Answer: A.

Show more

Dear bunuel
can't we go have another approach
by considering the options from 1st to 3rd
and see if 2x/y is not a prime no >2
as below
I. x = y --> then 2x/y=2 which is not greater then 2 so can't be true
II. y=1 --> then 2x/y=2x which is an even number always so can't be true
III. x and y are prime integers --> then this value will be fractional only so cant be an INTEGER so can't be true

hence A is the answer

please enlighten me for this approach :)

Regards
Puneet
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 10 Jan 2013, 18:52
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'A' is the right option. Condition III is satisfied when y=2 and x= some prime integer, but for other primes, it negates the condition. Hence 'None'.
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 30 Nov 2013, 07:12
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I think we can do it in a more simple way:
2x/y=prime
-->2x=prime * y ,that is, 2x=odd*odd which is never possible.
None of the options will satisfy dis...
Hence A.
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 21 Jan 2014, 22:17
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This question seems to be transcribed incorrectly. I think it should be either y != 2 and 2x/y = prime > 2 or y != 3 and 3x/y = prime > 2.
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If y ≠ 3 and 2x/y is a prime integer greater than 2, which 29 Apr 2024, 08:07
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