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Re: x=120 and y=150 [#permalink]
Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project



x=120 and x=150

Quantity A
Quantity B
The number of positive divisors of x
The number of positive divisors of y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


which one is 'X', and which one is 'Y' ?
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Re: x=120 and y=150 [#permalink]
GreenlightTestPrep wrote:
Carcass wrote:
x=120 and y=150

Quantity A
Quantity B
The number of positive divisors of x
The number of positive divisors of y


Let's list the positive divisors of 120 and 150

120: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120} (16 values)
150: {1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150} (12 values)

So, we get:
Quantity A: 16
Quantity B: 12

Answer: A



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IF it did not tell us indicating about positive divisor then, do we need to count the negative values also?
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Re: x=120 and y=150 [#permalink]
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huda wrote:
Carcass wrote:


x=120 and x=150

Quantity A
Quantity B
The number of positive divisors of x
The number of positive divisors of y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


which one is 'X', and which one is 'Y' ?


Good catch! I've edited the original post
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Re: x=120 and y=150 [#permalink]
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huda wrote:
IF it did not tell us indicating about positive divisor then, do we need to count the negative values also?


That is correct. For example, -12 is also considered a divisor of 120.
However, when it comes to Integer Properties questions, you will find that the GRE always limits are the values to positive integers.

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Re: x=120 and y=150 [#permalink]
1
Prime Factors of x=120 are 2, 2, 3, 5, 2

Prime Factors of y=150 are 5, 5, 3, 2

Well, 120 has more prime factors than 150, so it will have more factors than 150
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Re: x=120 and y=150 [#permalink]
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