Problem 51 - GMAT Number Properties

How many multiples of 2 or 5 are there between 20 and 80, inclusive?

(A) 37
(B) 39
(C) 41
(D) 42
(E) 44

Problem 50 - GMAT Geometry

Problem 49 - GMAT Work

Machine A can manufacture 1200 widgets in 4 hours and Machine B can manufacture the same number of widgets in 5 hours. After working together at their respective rates for 2 hours in order to fill a 1200 widget lot, what fraction of the lot still remains to be manufactured?

Problem 48 - GMAT Combinatorics

How many different handshakes are possible if six girls are standing on a circle and each girl shakes hands with every other girl except the two girls standing next to her?

(A) 12
(B) 11
(C) 10
(D) 9
(E) 8

Problem 47 - GMAT Combinatorics

In how many ways can five girls stand in line if Maggie and Lisa cannot stand next to each other?

(A) 112
(B) 96
(C) 84
(D) 72
(E) 60

Problem 46 - GMAT Number Properties

Problem 45 - GMAT Number Properties

Is pqr < 0 ?

(1) r < 0

(2) pq > 0

Problem 44 - GMAT Work

Five workers can manufacture 60 widgets in 6 days. Working at the same rate, how many more workers will be needed to manufacture 120 widgets in 4 days?

(A) 3
(B) 4
(C) 5
(D) 10
(E) 15

Problem 43 - GMAT Probability

A teacher will pick a group of 4 students from a group of 8 students that includes Bart and Lisa. If one of all the possible four-student groups is picked at random, what is the probability of picking a group that includes both Bart and Lisa?

Problem 42 - GMAT Powers & Roots

Problem 41 - GMAT Overlapping Sets

If 20 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?

(A) 95
(B) 90
(C) 85
(D) 80
(E) 75

Problem 40 - GMAT Number Properties

If p and q are positive integers, and the remainder obtained when p is divided by q is the same as the remainder obtained when q is divided by p, which of the following is a possible value of pq?

(A) 62
(B) 55
(C) 42
(D) 36
(E) 24

Problem 39 - GMAT Overlapping Sets

At a certain party attended by 120 people, one-third of the people are women and one-half of the women are students. If the number of students at the party is 4 times the number of men who are not students, how many of the people at the party are students?

(A) 20
(B) 30
(C) 40
(D) 60
(E) 80

Problem 38 - GMAT Speed

Problem 37 - GMAT Combinatorics

Six Canadian and 6 Mexican delegates attend an international trade conference. A three-delegate committee will be selected from the 12 delegates. How many three-delegate committees can be formed if each possible committee must include at least one Mexican delegate?

A) 260
B) 240
C) 220
D) 200
E) 20

Problem 36 - GMAT Probability

Problem 35 - GMAT Powers & Roots

If x is a positive integer, which of the following could NOT be the square of x?

(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752

Problem 34 - GMAT Statistics

Set C is a set of positive integers where 4 is least. If the average (arithmetic mean) of C equals its range, then how many positive integers does set C have?

(1) The elements in C are consecutive integers.

(2) The average (arithmetic mean) of C is 8.

Problem 33 - GMAT Number Properties

Problem 32 - GMAT Combinatorics

Juan and his five friends will sit on six fixed seats around a circular table. If Juan must sit on the seat closest to the window and Jamal must sit next to Juan, in how many can Juan and his five friends sit?

(A) 20
(B) 24
(C) 48
(D) 72
(E) 120