GRE Math Problem 78

In the preceding figure, if l₁||l₂, what is the value of x?

(A) 36 (B)54 (C)90 (D)144 (E) 154

Solution for GRE Math Problem 77:
As the angle between the base of the triangle and the vertical line is not marked, the relation between x and y could be of any value. Answer:D

GRE Math Problem 76

Compare two values:

Column A	Column B
The measure, in degrees, of the smaller angle formed by the hour hand and the minute hand of a clock at 11:20	140

Solution for GRE Math Problem 75:

As he made a 25% profit on one painting, he sold it for 125% of the original price.
 $2000=125%
$1600=100% - its original price was $1600

As he had a 25% loss on the second painting, he sold it for 75% of the original price.

$2000=75%
$2666.(6)=100% - its original price was $2666.(6)

Last year Leo paid for both paintings $1600+$2666.(6)=$4266 and this year he got $4000 for selling them. So, he lost more than $100

  Answer:(C) He lost more than $100.

GRE Math Problem 55

Column A	Column B
The average (arithmetic mean) of a, b, c, d, e,f, and g	50

Solution for GRE Math Problem 54:
In a right triangle with the catheti of  3 and 4, the hypotenuse is 5. But there is no sign indicating that the triangle shown is the right one. So, c can be both greater than 5 (if the angle between the sides of 3 and 4 is obtuse) and less that 5 (if the angle is accute)
Answer: D