An office supply store received a shipment of boxes of pencils. How many pencils were in the shipment altogether? (1 gross = 12 dozen) (1) The number of boxes of pencils in the shipment was 6 gross. (2) There were 3 dozen pencils in each box of pencils in the shipment.
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich? A. m(m+4)/m(m-4) B. 2m-4/m(m-4) C. 4m-4/m(m-4) D. 4m-8/m(m-4)
4m-12/m(m-4)
For any positive integer x, the 2-height of xis defined to be the greatest nonnegative integer n such that 2nis a factor of x. If k andm are positive integers, is the 2-height of k greater than the2-height of m ? (1) k >m (2) k/m is an even integer. |