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The tens digit of positive integer X is 3. Is the units digit of X greater than 4?(1) The units digit of 2X is less than the units digit of X.(2) The tens digit of 2X is 7.
PREP07 Test 1 If p is a positive odd integer, what is the remainder when p is divided by 4 ?(1) When p is divided by 8, the remainder is 5.(2) p is the sum of the squares of two positive integers.
Magoosh If line k in the xy–coordinate plane has slope$$\frac {-3}{2}$$, does line k pass through the point (12, -13)?(1) The point (6, -2) lies on line k.(2) The point (2, 4) lies on line k.
Magoosh A class contains boys and girls. What is the probability of selecting a boy from the class?Statement #1: there are 35 students in the classStatement #2: the ratio of boys to girls is 3:4
190124 A positive integer N is a multiple of 5. What is the remainder of N divided by 6? 1: When N is divided by 4, the remainder is 3. 2: When N is divided by 12, the remainder is 3.
191222 There is a six-digit integer: 495372. If two numbers are exchanged with each other, is the new number n larger than 495372？
(1)3 is a factor of n
(2)4 is a factor of n
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If is an integer greater than zero, then is
Magoosh Set A: {1, 3, 4, 6, 9, 12, 15}If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
What is the total number of executives at Company P?(1)The number of male executives is $$\frac3 5$$ the number of female executives.(2)There are 4 more female executives than male executives.
PREP07 Test 1 If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?(1) n + 1 is divisible by 3.(2) n > 20
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If <font color='#FE8080'>4</font> < \frac{7 - x}{3}, which of the following must be true?

 

I. 5 < x

II. |x + 3| > 2

III. -(x + 5) is positive
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If , which of the following must be true?

I. is positive.

II.

III.

Are there exactly 4 distinct keys that are working on the old typewriter?1. An old typewriter is defective in such a way that its blank key is not functioning, and the typewriter allows only 4 letters per word by forcing a space character to be inserted after each four-letter word. A monkey sitting at the typewriter is aware of this peculiarity and presses only distinct keys for each four-letter sequence. Some keys of this typewriter are not functioning.2. A monkey is able to create only 24 distinct four-letter words.
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How many numbers in a set of 5 consecutive positive integers are divisible by 4?

(1) The median of the set is odd

(2) The mean of the set is prime
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In an office there are 4 female staff members and 10 male staff members. In how many ways can a committee of 3 members be formed if it must include at least one female member?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022 In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10-day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
PREP07 Test 1 Committee X has 4 members, committee Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible?
PREP07 Test 2 Set S consists of 20 different positive integers. How many of the integers in S are odd?(1) 10 of the integers in S are even. (2) 10 of the integers in S are multiples of 4.
PREP07 Test 1 If the terms of a sequence are$$t_1, t_2, t_3, . . . , t_n$$, what is the value of n ? (1) The sum of the n terms is 3,124. (2) The average (arithmetic mean) of the n terms is 4.