Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?
Answer(s): B
The price of the ticket is unknown. It would be most convenient to plug in 100 as the price of the ticket.A 30% discount of 100 is $30, that amount remained the same after the price of a ticket increased by 50%. The new price of a ticket is $150, so 30/150 is 20%. The correct answer is B.
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 40, what will be his grade at the end of the third year?
Answer(s): D
From the grade 40 at the end of the first year we learn that his age is 20.At the end of the second year, he will be 21 and his grade will be (21 x 2 + 1/2 x 40 = 62).At the end of the third year, he will be 22 and his grade will be (22 x 2 + 1/2 x 62 = 75). The correct answer is D.
A is a prime number (A>2). If C = A3, by how many different integers can C be equally divided?
Factorize C: C = A x A x A: C can be equally divided into 1, A, A2, and A3 =C is 4 numbers total. The correct answer is B.
If X is a positive integer and (405) 4 is a multiple of 3X, what is the largest possible value of X?
Answer(s): C
Find the factors of (405) 4 and see what the largest value of X can be.405 = 81 x 5 = 9 x 9 x 5 = 3 x 3 x 3 x 3 x 5 -□(405) 4 = (3 x 3 x 3 x 3 x 5) 4 = 316 x 54.The largest possible value of 3X that is still a factor of (405) 4 is the largest possible value of X and that is 316. X = 16. The correct answer is C.
N is a prime number bigger than 5. Which of the following expressions must be even?
Answer D is a multiplication of two consecutive numbers, therefore one of them must be even, and an even number multiplied by a different number is an even number.
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