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If x and y are nonzero integers, is x/y an integer?



(1) x is the product of 2 and some other integer.

(2) There is only one pair of positive integers whose product equals y.

  • a)
    Exactly one of the statements can answer the question

  • b)
    Both statements are required to answer the question

  • c)
    Each statement can answer the question individually

  • d)
    More information is required as the information provided is insufficient to answer the question

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If x and y are nonzero integers, is x/y an integer?(1) x is the produc...
A says X is even that's all no other meaning
x/y =2/2=1 answer can Yes
x/y= 14/3 non integer answer can be No
so A is not sufficient


B says Y =2,no value of x I know ,so I can frame anything for x to make the ratio x/y to get integer and non interger.
Not sufficient

combining X is even and Y is 2 ,yes any even integer to 2 will be an integer
ANS IS C
Free Test
Community Answer
If x and y are nonzero integers, is x/y an integer?(1) x is the produc...
Explanation:
To determine whether x/y is an integer, we need to know if y divides x evenly.

Statement 1:
x is the product of 2 and another integer.
This statement alone does not provide any information about y. We do not know whether y divides x evenly or not.

Statement 2:
y is the largest even prime number.
This statement alone also does not provide any information about x. We do not know whether y divides x evenly or not.

Combining both statements:
Even after combining both statements, we still do not have enough information to determine whether x/y is an integer. We do not have any information about the other integer that x is the product of. It is possible that y divides x evenly, or it is possible that y does not divide x evenly.

Therefore, the correct answer is option D, more information is required as the information provided is insufficient to answer the question.
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If x and y are nonzero integers, is x/y an integer?(1) x is the product of 2 and some other integer.(2) There is only one pair of positive integers whose product equals y.a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer?
Question Description
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