GMAT
The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A? 1. 2 is the cardinality of exactly 6 subsets of set A. 2. Set A has a total of 16 subsets, including the empty set and set A itself.
Bowls X and Y each contained exactly 2 jelly beans, each of which was either red or black. One of the jelly beans in Bowl X was exchanged with one of the jelly beans in Bowl Y. After the exchange, were both of the jelly beans in Bowl X black? 1. Before the exchange, Bowl X contained 2 black jelly beans. 2. After the exchange, Bowl Y contained 1 jelly bean of each color.
A country's per capita national debt is its national debt divided by its population. Is the per capita national debt of Country G within $5 of $500 ? 1. Country G`s national debt to the nearest $1,000,000,000 is $43,000,000,000. 2. Country G`s population to the nearest 1,000,000 is 86,000,000.
All trainees in a certain aviator training program must take both a written test and a flight test. If 70 percent of the trainees passed the written test, and 80 percent of the trainees passed the flight test, what percent of the trainees passed both tests? 1. 10 percent of the trainees did not pass either test. 2. 20 percent of the trainees passed only the flight test.
What is the number of integers that are common to both set S and set T ? 1. The number of integers in S is 7, and the number of integers in T is 6. 2. U is the set of integers that are in S only or in T only or in both, and the number of integers in U is 10.
What is the sum of 3 consecutive integers? 1. The sum of the 3 integers is less than the greatest of the 3 integers. 2. Of the 3 integers, the ratio of the least to the greatest is 3.
How many people in Town X read neither the World newspaper nor the Globe newspaper? 1. Of the 2,500 people in Town X,1,000 read no newspaper. 2. Of the people in Town X, 700 read the Globe only and 600 read the World only.
For each positive integer k,let a_k= (1 +\frac{1}{k+1}). Is the product a_1, a_2...,a_n an integer? 1. n +1 is a multiple of 3. 2. n is a multiple of 2.
Let S be a set of outcomes and let A and B be events with outcomes in S. Let 〜B denote the set of all outcomes in S that are not in B and let P(A) denote the probability that event A occurs. What is the value of P(A) ? 1.P(AU B) = 0.7 2.P(AU 〜B) = 0.9
In the first 2 hours after Meadow's self-service laundry opens, m large washing machines and n small washing machines are in continual use. Including the time for filling and emptying the washing machines, each load of laundry takes 30 minutes in a large washing machine and 20 minutes in a small washing machine. What is the total number of loads of laundry done at Meadow 's self-service laundry during this 2-hour period? 1.n = 3m 2.2m+3n=55
Khalil drove 120 kilometers in a certain amount of time. What was his average speed, in kilometers per hour, during this time? 1.If Khalil had driven at an average speed that was 5 kilometers per hour faster, his driving time would have been reduced by 20 minutes. 2.If Khalil had driven at an average speed that was 25% faster, his driving time would have been reduced by 20%.
A $10 bill (1,000 cents) was replaced with 50 coins having the same total value. The only coins used were 5-cent coins, 10-cent coins, 25-cent coins, and 50-cent coins. How many 5-cent coins were used? 1.Exactly 10 of the coins were 25-cent coins and exactly 10 of the coins were 50-cent coins. 2.The number of 10-cent coins was twice the number of 5-cent coins.
Each of the five divisions of a certain company sent representatives to a conference. If the numbers of representatives sent by four of the divisions were 3,4, 5 and 5, was the range of the numbers of representatives sent by the five divisions greater than 2 ? 1.The median of the numbers of representatives sent by the five di\isions was greater than the average (arithmetic mean) of these numbers. 2.The median of the numbers of representatives sent by the five divisions was 4.
State X has a sales tax rate of k percent on all purchases and State Y has a sales tax rate of n percent on all purchases. What is the value of k - n ? 1.The sales tax on a $15 purchase is 30 cents more in State X than in State Y. 2.The sales tax rate in State X is 1.4 times the sales tax rate in State Y.
If x + y + z > 0, is z > 1 ? 1.z > x + y + 1 2.x + y + 1 < 0