GMAT, GRE Word Problem 600 level

Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?

(A) p/2 - 10
(B) 3p/4 - 5
(C) 3p/2 - 5
(D) 5p/4 - 10
(E) 5p - 5

Salary Percent GMAT, GRE Problem

Before a salary hike, the weekly salary of a worker for 40 hours in a week was as much as he is paid now for 35 hours of work in a week. What is the percent increase in his salary for an hour?

A. 11 1/3
B. 12 1/4
C. 13 1/5
D. 14 2/7
E. 15

Probability with rectangles GMAT, GRE

How many unique rectangles are possible that have a perimeter of not more than 258cm and integers for the length of each side?

A. 65
B. 129
C. 4158
D. 4160
E. 130

Arithmetic Progression And Geometric Progression Gmat, Gre Problem

The second, the first and the third term of an Arithmetic Progression  whose common difference is non zero but lesser than 200, form a Geometric Progression in that order. What is the common ration of that Geometric Progression?

A. 1
B. -1+
C. 2
D. -2
E. |1|

Min Max GMAT, GRE Question

Positive integers a, b, c, d and e are such that a < b < c < d < e. If the average (arithmetic mean) of the five numbers is 6 and d - b = 3, then what is the greatest possible range of the five numbers?

A. 12
B. 17
C. 18
D. 19
E. 20

Coordinate Geometry Question GMAT, GRE

The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

(A) 3y − 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y − 3x = 6
(E) 2y + 3x = −6

Probability Question GMAT, GRE 650 Level

Two number cubes with faces numbered 1 to 6 are rolled. What is the probability that that sum of the rolls is 8.

A. 1/12
B. 1/11
C. 1/9
D. 5/36
E. 1/6

Word Problem GMAT, GRE, SAT

The workforce of a certain company comprised exactly 10,500 employees after a four-year period during which it increased every year. During this four-year period, the ratio of the number of workers from one year to the next was always an integer. The ratio of the number of workers after the fourth year to the number of workers after the second year is 6 to 1. The ratio of the number of workers after the third year to the number of workers after the first year is 14 to 1. The ratio of the number of workers after the third year to the number of workers before the four-year period began is 70 to 1. How many employees did the company have after the first year?

(A) 50
(B) 70
(C) 250
(D) 350
(E) 750

Algebraic Inequalities Guide for the GMAT, GRE, SAT

Algebraic Inequalities 

Algebraic inequality statements are solved in the same manner as equations. However, do not forget that whenever you multiply or divide by a negative number, the order of the inequality, that is, the inequality symbol must be reversed. In reading the inequality symbol, remember that it points to the smaller quantity. a < b is read a is less than b. a > b is read a is greater than b.

Example:

Solve for x: 12 – 4x < 8

Solution:

Add –12 to each side.

–4x < –4

Divide by –4, remembering to reverse the inequality sign.x>1

Example:

6x + 5 > 7x + 10

Solution:

Collect all the terms containing x on the left side of the equation and all numerical terms on the right. As with equations, remember that if a term comes from one side of the inequality to the other, that term changes sign.

–x > 5

Divide (or multiply) by –1.x < –5

GMAT, GRE Algebraic problem

Mary and three other students took a math test. Each of their scores was a non-negative integer. The teacher announced that the average score (of the 4 students) was 20. Mary immediately knew that all of the other three students scored below average. What is the minimum score that Mary could have gotten to be certain of the above situation?

A. 40
B. 41
C. 60
D. 61
E. 80

GMAT, GRE Probability Question with Cards

Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5?

A. 2/5
B. 3/5
C. 1/18
D. 1/3
E. 1/6

GMAT, GRE Mixture Problem

A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?

A. 1.5
B. 2.5
C. 3
D. 4.5
E. 5

Sequence And Series Gmat, Gre Question

The nth term of a sequence is given by an= 1/n - 1/(n+1) for every positive integer n. What is the sum of the first 100 terms?

(a) 1
(b) 0 
(c) 25
(d) 99/100
(e) 100/101