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Тест: CLEP - Math

Описание теста:
1) Unless otherwise specified, the domain of any function F is assumed to be the set of all real numbers X for which F(x) is a real number.
2) i will be used to denote the Square Root of -1.
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If A and B are disjoint sets, and A contains 5 elements and B contains 7, how many elements are in the union of A and B?

If A is the set of values of x at which F(x)=0, and B is the set of values of x at which g(x)=0, what can you say about the set of values of x at which f(x)g(x)=0?

If A=(1, 2, 3) and B=(3, 4, 5) how many elements are in the intersection of A and B?

There are 93 students in a class; 42 like Math, while 41 like English. If 30 students don't like either subject, how many students like both?

Which of the following is a counter-example to the assertion "All primes are odd numbers"?

Which of the following is the converse to "All men are liars"?

Given that not (A and B) implies C, what does (not C) imply?

What is the largest real number less than 10?

Which of the following sets include all the others?

If a number is expressed in binary, which of the following is a necessary and sufficient condition to test whether it is divisible by 2?

A number is said to be perfect if it is the sum of its proper factors. Which of the following numbers is perfect?

Which of the following numbers is a composite?

What are the prime factors of 18?

What are the x- and y-intercepts of the equation 2x + 3y - 6 = 0?

Sour balls are 2 cents each, and lolly pops are 5 cents each. Sally spent $1 and got 35 pieces of candy. How many sour balls did she get?

If you draw 2 cards from a standard deck of 52 cards, what is the probability that they will both be spades?

If you draw 4 M&Ms from a bag containing 4 red, 4 yellow, 4 green, and 4 brown ones, what is the probability that you will get 1 of each color?

Jane likes to keep her 6 school books in a neat row on her shelf. How many different ways can she line up her 6 books?

If you flip 10 pennies all at the same time, what is the probability that exactly 3 will come up heads and 7 will come up tails?

If you roll two standard dice, what is the probability that the sum of there spot values will be a prime number?

What is the probability that if you roll a single standard die four times you will roll four different numbers?

What is the sum of the 10 binomial coefficients of the form C(9, k)?

Henry can paint the house in 4 hours, and Claude can paint the house in 3 hours. How long would it take the two of them to do the job together?

Carlos is ten years older than Jose. Five years ago Carlos was three times as old as Jose. How old is Jose now?

The set of positive even integers is closed under which of the following operations?

If each year you deposit $5,000 in an account that earns 8% each year, compounded annually, how much will you have after 30 years?

Which of the following is NOT an element in the union of the set of all numbers divisible by 6 and the set of all numbers divisible by 4?

If A -> B and ~A -> C, what does ~C imply?

Which of the following is a composite number?

What is the greatest common factor of 156 and 204?

Which of the following is a counter-example to the statement "For all positive integers n, (2n) + 1 is a prime number"?

The number 1101 is written in binary notation. How would it be written in decimal notation?

How would the number 68 be written in binary notation?

Which of the following is true of any rational number?

If you are dealt 5 cards in a game of draw poker, and 3 of them are 5's what is the probability you will get another 5 if you draw 2 cards?

If you have a class consisting of 10 girls and 20 boys, in how many different ways can you form a committee from the class members such that there will be 2 girls and 2 boys on the committee?

In how many different ways can you make 25 cents, using standard US coins?

In a certain game you roll 3 dice and are given 1 dollar for each 5 that is rolled. So on each play you may earn 0, 1, 2, or 3 dollars. What are your expected earnings per play?

Two years ago John was three times as old as Frank. Five years from now John will be twice as old as Frank. What is the sum of their ages right now?

Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it take them if they work together?

Traveling from Los Angeles to San Diego, Peter drove 30 miles at 30 miles per hour, 35 miles at 70 miles per hour, and 40 miles at 60 miles per hour. What was his average speed for the whole trip?

Let a, b , and c be 3 distinct positive numbers. What can be said about the difference between the mean and the median of the three numbers?

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