If x = 3y, where y is a prime number greater than 2, how many differen

Question

If x = 3y, where y is a prime number greater than 2, how many different positive even divisors does x have, including x?

A. 0
B. 1
C. 2
D. 3
E. It cannot be determined from the information given

nalinnair · Answer

For  x  to have even divisors,  x  has to be an even number.
We know that  x=3y , where  y  is a prime number greater than 2. As 2 is the only even prime number,  y  has to be an odd prime number.
This means that  x  must also be an odd number, since odd x odd = odd.
As  x  is odd, it cannot have any even divisors.
Therefore,  A  is the correct answer.

nipunjain14 · Answer

Y is prime greater than 2 thus y is odd
3y is odd 
Thus no even factors
Ans:A

TeamGMATIFY · Answer

x = 3y and y is a prime greater than 2
This means that y will always be an odd number.

Hence x = 3*odd = odd
An odd number does not have any even numbers as factors.
Option A

nikhiljd · Answer

from the question stem X can never have an even divisor 
because 
X= 3*y 
X = odd * (prime>2) .... all primes greater than 2 are odds
=> X = odd * odd
X = odd
hence it cannot have a positive even divisor 
ANS: A

arjunperiyasamys · Answer

Since Y is prime greater than 2, Y has to be ODD
since ODD X ODD is always ODD 3Y is ODD
Thus there are no even factors

Ans:A

Kudos if i helped

soumya90 · Answer

SINCE x=3y, here for y to be a prime number greater than 2, the factors of x will always be odd,
we can assume values and check,when y=3: x=3*3=9 
 when y=5: x=3*5=15 
 .
 .
 .
 when y=19: x=3*19=57
Hence each of this will have positive odd factors. Thus OA is  A

stonecold · Answer

An odd number multiplied by an odd number yields an odd number.
Also an odd number can never be divisible by an even number.
Hence as y is an odd number (all primes>2 are odd)=> x must be odd=> Zero even divisors.
Hence A

kanusha · Answer

x = 3y 
Y is a odd prime number : 3,5,7 
x always results only odd number
0 positive even 
A

Nunuboy1994 · Answer

We can pick simple numbers

x= 3(5)

or

x=3(3)

In either case there are 0 even numbers- for the first example 1 3 5 15- in the second example, 1 3 9- no even numbers

Thus
"A"

bumpbot · Answer

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If x = 3y, where y is a prime number greater than 2, how many differen

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If x = 3y, where y is a prime number greater than 2, how many differen

Prep Toolkit

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