GRE Sample Test 1 Quantitative Reasoning 2

Question : 8 of 20

Marks: +1, -0

List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13
x is the median of the even numbers in List A.
y is the median of the prime numbers in List A.
z is the median of the least and greatest numbers in List A.
Quantity A : The median of 2x, y, and z
Quantity B : Z

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

Validate

Solution:

Remember that median is the number that ends up in the middle of the list when you rewrite the list in numerical order. Find x: the even numbers are 2, 2, 6, 8. Because 2 and 6 are in the middle, find their mean:

{2+6}/2

= 4.
So, x = 4. Find y: the prime numbers are 2, 2, 3, 5, 7, 13. Remember: 1 is not prime. Because 3 and 5 are in the middle, find their mean:

{3+5}/2

= 4.
So, y = 4. Find z: the least is 1, and the greatest is 15. The median of 1 and 15 is

{1+15}/2

= 8.
So, z = 8. For Quantity A, find the median of 2(4), 4, and 8. So, the median of 4, 8, 8 is 8. Quantity B is also 8.

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