A grocery store ordered a delivery of fresh milk products that contained 45 milk bottles, 24 cheese packs and 23 cartons of chocolate milk. If the chocolate milk carton costs like a bottle of milk, which is three times the price of a cheese pack, what fraction of the cost of the entire purchase was the cost of 20 bottles of milk, 1 pack of cheese and 5 chocolate milk cartons?
Answer(s): D
Let X is the price of a pack of cheese.The price of the entire purchase is (45 x 3)X + 24X + (23 x 3)X = 228X. The specific required purchase is 60X + X + 15X = 76X.The fraction of the specific purchase and the entire purchase is 76/228 = 1/3.
If A and B are two prime numbers bigger than 2, which of the following can't be true?(1) A + B is an even number.(2) A x B is also a prime number.(3) AB is also a prime number.
Try to find opposing examples to the statements.1. Pick A=7, B=13 A+B = 20, this is an even number.2. Try A=3, B=7 AB=21, and 21 is not a prime number.3. Try A=3, B=5 AB = 35= 3 x 3 x 3 x 3 x 3 = a number which is dividable by 3 and 9 and therefore is not a prime number. Statements 2 and 3 can't be true, the answer is D.
If X and Y are consecutive numbers (Y>X), which of the following statements could be false?1. The multiplication XY is an even number. 2. (Y/X) > 1.3. (X + Y) is always an odd number.
Answer(s): B
Let's go over each statesman's at a time.1, the multiplication of two consecutive numbers is always an even number.2, Try x=2, y=3 In this case 3/2 is bigger than 1 but if you choose x=-3, y=-2, y/x is 2/3 and that’s smaller than1. Therefore, this statement is not always true.3, the sum of two consecutive numbers is always odd, try some numbers. Therefore, only statement 2 is false.
X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?1. (X + Y) is an odd number.2. Y(X + Y) is an integer.3. XY is a positive number.
Find opposing examples for each of the statements.1: An odd number + an even number are always an odd number. 2: Try the numbers: X=-4, Y=3 3(-1) = 1/3 which is not an integer.3: Try the numbers: X=-2, Y=3 XY = (-2)3 = -8, which is not positive. Statements 2 and 3 are not necessarily true.
W is between (-1) and (0), which of the following is least?
Answer(s): C
Try a number between –1 and 0, for example –1/2.–1/2.¼.–2.4.0.The smallest number is –2.
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