Question 1
x,x2,xy,xy-1,x4,x6
x > 1
Quantity A | Quantity B |
The mode of the numbers above when y = 4 |
The median of the numbers above when y = 5 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 2
Trip A is 6x miles long and takes 5y hours. Trip B is 5x miles long and takes 4y hours.
Quantity A | Quantity B |
The rate of trip A in miles per hour |
The rate of trip B in miles per hour |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 3
If the probability that the first event will occur is , and the probability that the second event will occur is , then what is the probability that both events will occur?
Question 4
Five numbers in a set are arranged from least to greatest. If the median of the first two numbers is 13 and the average (arithmetic mean) of the remaining numbers is 23, what is the average (arithmetic mean) of the entire set?
Question 5
A bag contains 12 marbles: 5 of the marbles are red, 3 are green, and the rest are blue.
Quantity A | Quantity B |
The probability of consecutively choosing two red marbles and a green marble without replacement |
The probability of consecutively choosing a red and two blue marbles with replacement |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 6
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of (p – 7)2 =
Question 7
Water flows into a 25-liter bucket through a hose and out through a hole in the bottom of the bucket. The rate of flow through the hose is 1 liter per minute. If the bucket is filled to capacity in 40 minutes, at what rate, in liters per minute, was water flowing out of the bucket through the hole?
Question 8
A pair of dice is tossed twice. What is the probability that the first toss gives a total of either 7 or 11 and the second toss gives a total of 7 ?
Question 9
A photocopier can copy r pages per hour. How many pages can it copy in s seconds?
3,600rs
Question 10
Quantity A | Quantity B |
The average (arithmetic mean) cost per hinge for 16 hinges that cost a total of 2p cents | The average (arithmetic mean) cost per hinge for 4 hinges that cost a total of cents |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 11
In both rural and urban areas of country G, the average annual number of holidays taken by citizens is 8, and the annual number of holidays follows a normal distribution. In rural areas, 2% of the citizens take more than 12 holidays per year. In urban areas, 2% of the citizens take more than 16 holidays per year. How much greater is the standard deviation of the annual number of holidays taken by urban citizens than that of rural citizens?
Question 12
Three dice are rolled simultaneously. What is the probability that exactly two of the dice will come up as the same number?