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Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3


In a survey of drivers, 36% of male drivers hate driving at night, while 48% of female drivers hate driving at night. As a whole, 45% of all drivers hate driving at night. What is the ratio of male drivers to all the drivers in the survey?

Give your answer as a fraction.
A company has a certain number of trucks and limousines. If 60% of limousines have special autopilot system in place, while 24% of all cars are limousines equipped with such special autopilot system, then what is the ratio of the number of limousines to the number of all cars?

Give your answer as a fraction
If someone puts away $92,000 in a bank with an annual interest rate of r%, and earns $920 in the first month, then what is the value of r? Give your answer as percent.

_____%
How many integers from 1 to 2,000, inclusive, are both the square of an integer and the cube of an integer?
P, Q, and T are three distinct points in a plane.

Quantity A

The number of lines in the plane that pass through points P, Q and T

Quantity B

1



For the convex polygon above, which of the following intervals contains all possible value of x?
The 50 students in an art class were given an assignment to visit two museums,A and B.During the week after the assignment was given, 25 of the students visited Museum A and 10 of those 25 students also visited Museum B.

Which of the following statements individually provide(s) sufficient additional information to determine how many of the students visited Museum B during that week?

Indicate all such statements.
The first term of sequence K is 7 and the last term is 217. Each term after the first is 2 greater than the previous term. How many terms are in sequence K?
Eugene and Penny started a job in sales on the same day. Eugene's sales for the first month were r dollars and each month after the first his sales for that month were twice his sales for the preceding month. Penny's sales for the first month were 10r dollars, and each month after the first her sales for that month were 10r dollars more than her sales for the preceding month. Which of the following statements are true?
Indicate all such statements.
The sequence $$a_{1},a_{2},a_{3}.....a_{n}$$....is defined by $$a_{1}=2$$, $$a_{2}$$=3, and $$a_{n}$$=$$(a_{n-1})(a_{n-2})$$ for all integers n greater than 2. What is the value of $$a_{8}$$?
S={1, 2, 3}
T={1, 2, 3, 4}

Quantity A

The total number of 4-digit positive integers that can be formed using only the digits in set S

Quantity B

The total number of 3-digit positive integers that can be formed using only the digits in set T


Quantity A

(40!)(30!)

Quantity B

(60!)(20!)


Quantity A

89!-88!-87!

Quantity B

$$ 88^{2}*87! $$


Five gift cards will be distributed among 10 people so that no person receives more than one gift card. The gift cards consist of one $100 gift card, one $50 gift card, one $25 gift card and two $10 gift cards. How many different distributions of the five gift cards among the 10 people are possible if the two $10 gift cards are considered to be identical?
A password is formed by 5 digits, including a "1", two "2" and two "4". How many different passwords can be formed?
What is the probability of selecting two socks of the same color when selecting two socks out of 5 pairs of different colors of socks (each pair of socks have the same color)?
Give your answer as a fraction.
A certain band will perform 15 different songs in random order, and no song will be performed twice. If 9 of the songs are new, what is the probability that the first 2 songs that the band performs will both be new?

Give your answer as a fraction.
From a group of 100 people including Alice and Bob, 40 people are to be randomly selected at the same time to win movie tickets. What is the probability that both Alice and Bob will be selected to win movie tickets?
Give your answer as a fraction.

Several 0 and 1 are arranged in a 10*10 palace as follows. Among all the number 0, what is the probability that they are arranged in both an odd row and an odd column?
Give your answer as a fraction.

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