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Magoosh If four numbers are randomly selected without replacement from set {1, 2, 3, 4}, what is the probability that the four numbers are selected in ascending order?
Manhattan What is the minimal value of function f(x)?(1) $$f(0) = 16$$(2) $$f(x) = (x – 4)^2$$
What is the value of x + y ?1. xy+ wz + xz+ wy= 82. y + z = 4
Is the range of the integers 6, 3, y, 4, 5, and x greater than 9?(1) y>3x(2) y > x > 3
For all numbers x and y the definition of the operation ♦ is y ♦ xy(x + 4). If (-6) ♦ a = -60, then what is the value of a ?
If x and y are integers and x< y, what is the value of x + y?(1)$$x^{Y}=4$$(2) |x| = |y|
What is the value of u?1.$$\frac{7}{u}-{4}={10}$$2.$$\frac{32}{16}=\frac{1}{u}$$
If a and b are positive integers, is $${2}{\sqrt{a+b}} >{4}\sqrt{b}$$?(1)b >3a(2)a + b >3
PREP07 Test 1 List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K ?
PREP07 Test 1 Is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is divisible by 12.
PREP07 Test 2 If c and d are integers, is c even? (1) c(d + 1) is even. (2) (c + 2)(d + 4) is even.
PREP07 Test 1 If u, v, and w are integers, is u > 0 ?(1) $$u = v^2 + 1$$ (2) $$u = w^4 + 1$$
PREP07 Test 1 Is the integer r divisible by 3 ? (1) r is the product of 4 consecutive positive integers.(2) r < 25
PREP07 Test 2 Does set S contain any even numbers? (1) There are no prime numbers in S. (2) There are no multiples of 4 in S.
PREP07 Test 2 Is the positive integer n an odd integer?(1) n + 4 is a prime number.(2) n + 3 is not a prime number.
PREP07 Test 2 Does the integer k have a factor p such that 1 < p < k ?(1) k > 4!(2) $$13! + 2 \le k \le 13! + 13$$
PREP07 Test 2 What is the greatest integer that is less than t ?(1)$$ t = \frac{9}{4}$$(2) $$t = {(\frac{-3}{2})^2}$$
PREP07 Test 2 If $$x + y \neq0$$, what is the value of $$(ax+ay)\over(x+y)$$?(1) x = 4 and y = 5.(2) a = 6
Manhattan If positive integer n is divisible by both 4 and 21, then n must be divisible by which of the following?
Manhattan Let Set T = {2, 4, 5, 7}. Which of the following values, if added to Set T, would most increase the standard deviation of Set T?
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