If x is a positive integer, is x prime?
1) x has the same number of factors as y2, where y is a positive integer greater than 2.
2) x has the same number of factors as z, where z is a positive integer greater than 2.
  • 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 'A'. Can you explain this answer?
Related Test: Test: Prime Numbers- 1

GMAT Question

Manoj Yadav
Sep 19, 2018
If x is a positive integer, is x prime? 

(1) x has the same number of factors as y^2, where y is a positive integer greater than 2. 

y^2 is a perfect square. The number of distinct factors of a positive perfect square is ALWAYS ODD, while the number of factors of a prime is two (1 and itself). Thus since x has the same number of factors as a perfect square it cannot be a prime. Sufficient.

(2) x has the same number of factors as z, where z is a positive integer greater than 2. Clearly insufficient.

(1) x has the same number of factors as y2, where y is a positive integer greater than 2.

y2 is a perfect square. The number of distinct factors of a positive perfect square is ALWAYS ODD, while the number of factors of a prime is two (1 and itself). Thus since x has the same number of factors as a perfect square it cannot be a prime. Sufficient.

(2) x has the same number of factors as z, where z is a positive integer greater than 2. Clearly insufficient.

This discussion on If x is a positive integer, is x prime?1) x has the same number of factors as y2, where y is a positive integer greater than 2.2) x has the same number of factors as z, where z is a positive integer greater than 2.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 'A'. Can you explain this answer? is done on EduRev Study Group by GMAT Students. The Questions and Answers of If x is a positive integer, is x prime?1) x has the same number of factors as y2, where y is a positive integer greater than 2.2) x has the same number of factors as z, where z is a positive integer greater than 2.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 'A'. Can you explain this answer? are solved by group of students and teacher of GMAT, which is also the largest student community of GMAT. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for GMAT on EduRev and even discuss your questions like If x is a positive integer, is x prime?1) x has the same number of factors as y2, where y is a positive integer greater than 2.2) x has the same number of factors as z, where z is a positive integer greater than 2.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 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest GMAT community, EduRev has the largest solved Question bank for GMAT.

Related Content

This discussion on If x is a positive integer, is x prime?1) x has the same number of factors as y2, where y is a positive integer greater than 2.2) x has the same number of factors as z, where z is a positive integer greater than 2.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 'A'. Can you explain this answer? is done on EduRev Study Group by GMAT Students. The Questions and Answers of If x is a positive integer, is x prime?1) x has the same number of factors as y2, where y is a positive integer greater than 2.2) x has the same number of factors as z, where z is a positive integer greater than 2.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 'A'. Can you explain this answer? are solved by group of students and teacher of GMAT, which is also the largest student community of GMAT. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for GMAT on EduRev and even discuss your questions like If x is a positive integer, is x prime?1) x has the same number of factors as y2, where y is a positive integer greater than 2.2) x has the same number of factors as z, where z is a positive integer greater than 2.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 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest GMAT community, EduRev has the largest solved Question bank for GMAT.