|
PREP07 Test 2
|
If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n ? (1) n is even. (2) The cube root of n is an integer.
|
|
PREP07 Test 2
|
At a certain bakery, each roll costs r cents and each doughnut costs d cents. If Alfredo bought rolls and doughnuts at the bakery, how many cents did he pay for each roll? (1) Alfredo paid $5.00 for 8 rolls and 6 doughnuts. (2) Alfredo would have paid $10.00 if he had bought 16 rolls and 12 doughnuts.
|
|
PREP07 Test 2
|
Is x > 0 ? (1) xy > 0 (2) x + y > 0
|
|
PREP07 Test 2
|
What is the ratio of p to r ? (1) The ratio of p to 3r is 5 to 9.(2) The sum of p and r is 16.
|
|
PREP07 Test 2
|
X and Y are sets of positive integers. Is the greatest integer in X greater than the greatest integer in Y ?(1) X is a set of 5 consecutive odd integers, each less than 20. (2) Y is a set of 3 consecutive even integers, each less than 15.
|
|
PREP07 Test 2
|
 In the figure above, lines l1 and l2 are parallel. What is the value of x ? (1) y = 87 (2) z = 93
|
|
PREP07 Test 2
|
If m and n are positive integers and mn = k, is m + n = k + 1 ? (1) m = 1 (2) k is a prime number.
|
|
PREP07 Test 2
|
If n is the product of the least and the greatest of 6 consecutive integers, what is the value of n ? (1) The greatest of the 6 consecutive integers is 20. (2) The average (arithmetic mean) of the 6 consecutive integers is 17.5.
|
|
PREP07 Test 2
|
For each hour at his part-time job, Jack is paid $0.05 per box for the first 100 boxes of apples packed and $0.07 for each additional box of apples packed. If Jack packed 125 boxes of apples in one hour, how much was he paid for that hour?
|
|
PREP07 Test 2
|
According to a financial analyst, if Company C sets the unit selling price of its product at x dollars, then its monthly profit P, in dollars, is given by the formula P = 1,000(4x - x^2 - 2). According to this formula, at what amount should Company C set the unit selling price of its product so that its monthly profit is $2,000 ?
|
|
PREP07 Test 2
|
$${(1001^2-999^2)}\over{(101^2-99^2)}=$$?
|
|
PREP07 Test 2
|
For all numbers a and b, the operation # is defined by a # b = 2a + 2b + 1. What is the value of 6 # 1 ?
|
|
PREP07 Test 2
|
Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?
|
|
PREP07 Test 2
|
If $$N=\frac{1}{3}+(\frac{1}{3})^2+(\frac{1}{3})^3$$, then N is between
|
|
PREP07 Test 2
|
If x is an even integer, which of the following must be an odd integer?
|
|
PREP07 Test 2
|
If the operation @ is defined for all positive integers x and w by x @ w = $$(2^x)\over(2^w)$$ , then (3 @ 1) @ 3 =
|
|
PREP07 Test 2
|
If $$(7^\frac{3}{4})^n=7$$, what is the value of n ?
|
|
PREP07 Test 2
|
The value of $$(-89)^\frac{1}{3}$$ is
|
|
PREP07 Test 2
|
For which of the following values of x is $$\sqrt{(1-\sqrt{(2 - \sqrt{x})}}$$ NOT defined as a real number?
|
|
PREP07 Test 2
|
If $$(x-b)^{\frac13}=c^6$$, then x =
|