Problem Solving

A store reported total sales of $385millionforFebruaryofthisyear.Ifthetotalsalesforthesamemonthlastyearwas$320 million, approximately what was the percent increase in sales?

If d = 1 2 3 * 5 7 is expressed as a terminating decimal, how many nonzero digits will d have?

If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?

The letters D, G, I, I , and T can be used to form 5-letter strings as DIGIT or DGIIT. Using these letters, how many 5-letter strings can be formed in which the two occurrences of the letter I are separated by at least one other letter?

Which of the following fractions is closest to 1 2 1 2 ?

The value of 7 8 + 1 9 1 2 is closest to which of the following?

Which of the following expressions can be written as an integer?

Which of the following is greatest?

(1/2) − 3 (1/4) − 2 (1/16) − 1 = (1/2) − 3 (1/4) − 2 (1/16) − 1 =

If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is

If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?

How many prime numbers between 1 and 100 are factors of 7,150?

The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?

The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly 1/2 centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright when the box rests on one of its sides. Of all such canisters that would fit, what is the outer radius, in centimeters, of the canister that occupies the maximum volume?

If x/y = c/d and d/c = b/a, which of the following must be true?

Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?

A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?

The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals?

If x > 0, x/50 + x/25 is what percent of x?

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?