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 77

Compare two values:

Column A	Column B
x	y

Solution for GRE Math Problem 76:

The value of this angle can be found as the sum of the angles a and b. As 20 minutes is 1 third of an hour, angle a is one third of 360 degrees, and equals to 120 degrees.
Then, angle b is two thirds of and angle between "11" and "12", then, it is two thirds of 30 degrees, which equals to 20 degrees.
Total 120+20=140 degrees
Answer: C

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 75

Last year Leo bought two paintings. This year he sold them for ">2000 each. On one, he made a 25% profit, and on the other he had a 25% loss. What was his net loss or profit?
(A) He broke even.
(B) He lost less than $100.
(C) He lost more than "$100.
(D) He earned less than $100.
(E) He earned more than $100.

Solution for GRE Math Problem 74:
By what fraction is greater than ?

So, of the number is 7. Therefore, the whole number is 12.

But we were asked about the of this number, so, the answer is 12*3/5=20. Thank you for pointing this in comment :)

Answer:(D)20

GRE Math Problem 74

If of a number is 7 more then of the number. What is of the number?
(A) 12
(B) 15
(C) 18
(D) 20
(E) 24

Solution for GRE Math Problem 73:
In order to determine the total number of players we have to multiply the number of players in one team by the number of teams in one division by the number of divisions. We’ll get dtp
Answer: (B) dtp

GRE Math Problem 73

The Center City Little League is divided into d divisions. Each division has t teams, and each team has p players. How many players are there in the entire league?
(A) d+t+p
(B) dtp
(C)
(D)
(E)

Solution for GRE Math Problem 72:
All the positive multiples of 5 less than 26 are: 5, 10, 15, 20, 25. Their average will be: =1+2+3+4+5=15
 All the positive multiples of 7 less than 26 are: 7, 14, 21. Their average will be: =14
Answer:A

GRE Math Problem 72

Compare two values:

Column A	Column B
The average (arithmetic mean) of all the positive multiples of 5 less than 26	The average (arithmetic mea: of all the positive multiples of 7 less than 26