A certain carton holds fewer than 50 books. What is the number of books in the carton? (1) The books in the carton can be divided into 3 stacks of X books each, with 2 books left over. (2) The books in the carton can be divided into Y stacks of 7 books each, with [...]
With total sales of less than three hundred thousand dollars and fewer new subscribers than last year, the New England Theater Company is in danger of losing its building. a. of less than three hundred thousand dollars and fewer b. lower than three hundred thousand dollars and less c. lesser than three hundred thousand dollars [...]
P and Q are integers. If P is divisible by 10^Q and cannot be divisible by 10^(Q+1), Q=? (1) P is divisible by 2^5, but is not divisible by 2^6 (2) P is divisible by 5^6, but is not divisible by 5^7
If a and b are positive integers such that a – b and a/b are both even integers, which of the following must be an odd integer? A.    a/2 B.    b/2 C.    (a+b)/2 D.    (a+2)/2 E.     (b+2)/2
A meatman weighed some pieces of beef and recorded the weights by rounding the weights to integer. At least, was the difference between the real weights of the beef and the recorded weights greater than 10 pounds? Â (1) All of the pieces are less than 9.5 pounds (2) He weighted 18 pieces of beef
Considering a semicircular cross section of a one-way tunnel with a diameter of 20 feet. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least 1/2 foot when they are inside the traffic lane, what should [...]
Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?  A. k [...]
If X is greater than 1 and Y is greater than 1, is X less than Y? (1) X^2/(XY+X) is less than 1 (2) XY/Y^2-Y is less than 1Â
How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?  A.    15 B.    16 C.    17 D.    18 E.     19
$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 {1+(r/100)}t. What amount will the deposit grow to in 3 years?  (1)  D(t) = 11,000 (2)  r [...]
If x and y are integers and x > 0, is y > 0?   (1) 7x – 2y > 0 (2) -y
Working alone at its constant rate, machine K took 3 hours to produce ¼ of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the unites produced last Friday. How many hours would it have [...]
A tester can pass a certain test only when all the three examiners pass him or her. A total of 30 testers took the test. If examiner A passed 20 testers, B passed 17 testers, and C passed 15 testers, at least how many testers passed the test?. A. 0 B. 2 C. 3 D. [...]
Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees? (1)Â Â Two of the interior angles of ABCD are right angles. (2)Â Â The degree measure of angle ABC is twice the degree measure of angle BCD.
This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save [...]
A recent study of ancient clay deposits has provided new evidence supporting the theory of global forest fires ignited by a meteorite impact that contributed to the extinction of the dinosaurs and many other creatures some 65 million years ago. (A) supporting the theory of global forest fires ignited by a meteorite impact that (B) [...]
The development of a new jumbo rocket that is expected to carry the United States into its next phase of space exploration will be able to deliver a heavier load of instruments into orbit than the space shuttle and at a lower cost.  (A) The development of a new jumbo rocket that is expected [...]
Unlike modern feminism, which derives much of its strength from rejection of an oppressive home, Marietta Holley in her novels made domesticity the basis of women’s liberation. Unlike modern feminism, which derives much of its strength from rejection of an oppressive home, Marietta Holley in her novels Unlike the modern feminist who derives much of [...]
How much interest will $2400 earn at an annual rate of 8% in one year if the interest is compounded every 4 months? a.$141 b.$150 c.$197 d.$234 e.$312
According to Interstudy, a nonprofit organization that studies health maintenance organizations (HMO’s), they estimate that, in comparison to last year, when only 36 percent of the nation’s 607 HMO’s was profitable, this year 73 percent will be.  (A) they estimate that, in comparison to last year, when only 36 percent of the nation’s 607 [...]
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