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
(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
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
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
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
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
(a) 1
(b) 0
(c) 25
(d) 99/100
(e) 100/101
Repeating Patterns In Decimals Gmat, Gre Problem
What is the 101st digit after the decimal point in the decimal representation of 1/3 + 1/9 + 1/27 + 1/37?
A. 0
B. 1
C. 5
D. 7
E. 8
A. 0
B. 1
C. 5
D. 7
E. 8
Gmat Gre Work, Rate, Time
Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 3 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ?
A. 5
B. 10
C. 15
D. 20
E. 25
A. 5
B. 10
C. 15
D. 20
E. 25
Sequence Question GMAT, GRE
A worker is hired for 7 days. Each day, he is paid 10 dollars more than what he is paid for the preceding day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?
(A) 90
(B) 138
(C) 153
(D) 160
(E) 163
(A) 90
(B) 138
(C) 153
(D) 160
(E) 163
Group of Groups [ Statistics ] GMAT, GRE
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
| E) |
Rate Time Distance with [ Ratio ] GMAT, GRE, SAT problem
A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days will the work get over?
(A) 60
(B) 70
(C) 75
(D) 80
(E) 100
(A) 60
(B) 70
(C) 75
(D) 80
(E) 100
Subscribe to:
Posts (Atom)