GRE Quantitative Reasoning Practice Test 2 (Section 2)

If the largest side of a triangle is A, and the other two sides are B and C. What relation exists between them?

A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.

Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?

Suppose that the product of three consecutive numbers is 0. Let these numbers be a, b, and c. i.e. a*b*c= 0

Mario and Alan are best friends and they study in the same school. Mario is in 4th grade whereas Alan is in 5th grade. The number of students in Mario’s class is ‘x’ and the number of students in Alan’s class is one less than three times the number of students in Mario’s class. From this given information, choose the correct answer. (please note that the minimum number of students in a class is 10)

If ‘a’ is an integer greater than zero, which of the following is correct.

Consider the following two equations and find the value of x – 3y.

2x-4y= 4

x – y = 3

What is the probability that two of your friends were born on the same day of the week?

Answer as a fraction (e.g., 3/5 or 4/6)

There are ‘x’ balls in blue bag and the number of balls in green bag are ‘2x’. The average price of balls in blue bag is $20 and the average price of balls of green bag is $30. If all the balls of these two bags are put in a yellow bag, what would be the average price of balls of yellow bag?

Round to the nearest tenth (e.g., 23.7 or 18.6)

There are three straight lines in certain plane. What is the maximum number of possible points of intersections of these lines considering the fact that these are straight lines?

In a grocery store, there are at least 15 different brands of biscuits available. The ratio of different brands of chocolates to that of biscuits in this store is 3 to 5. Which of the following could be the possible number of chocolate brands in this store?

Indicate all possible options.

Let ‘x’ and ‘y’ be two integers such that x < 0 and y < 0. Which of the following options could values of xy/(x+y). Indicate all possible options.

Consider the following figure, in which Line segment LM and line segment NO are parallel to each other. Which of the following must be equal to y°? Indicate all possible options.

Henderson is the elder brother of Mark, and their age difference is 3 years. Mark is 9 years younger than Alisa. If Alisa is at least 33 years old, which of the following could be the age of Henderson?

Literary club in a particular university consists of at least 150 members. The number of faculty members in this group is 60% the number of male students, which is 50% the number of female students in this club. Which of the following could be the number of faculty members in this literary club? Indicate all possible options.