In a Stationery Shop, the ratio of the no. of Books, Pen & Pencil is 2 : 7 : 9. If the difference between the number of Pen & Pencil is a multiple of 3 as well as 7, what is the minimum number of Book, Pen and Pencil in the Shop?
If m is a positive integer and 753 is a multiple of 5m, what is the largest possible values for m?
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If x is a positive integer, r is the remainder when x is divided by 4, and R is the remainder when x is divided by 9, what is the greatest possible value of r2 + R ?
There are 4 quarts in a gallon. A gallon of motor oil sells for $12 and a quart of the same oil sells for $5. The owner of a rental agency has 6 machines and each machine needs 5 quarts of oil. What is the minimum amount of money she must spend to purchase enough oil?
If 15!/3m is an integer, what is the greatest possible value of m?
For what minimum value of n, the product of all positive integers from 1 to n is evenly divisible by 840?
Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the maximum possible weight, in kilograms, of the lightest box?
If the length and width of a rectangle are 2x+5 and 3x-7, respectively (x≥3), then what is the least possible area of the rectangle?
Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
The employees of Smith Enterprises received wage increases ranging from 30 cents to 87.5 cents per hour. What was the maximum wage increase for a 40-hour week?
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