If a, b are integers and |a-b|=8, which of the following is the smallest possible value of ab?
If k is an integer, the least possible value of |129 − 17k| is
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To be elected president of a certain organization, a candidate needs the votes of at least 2/3 of its 1,331 members. What is the least number of votes the candidate needs to be elected?
A student is asked to pick marbles from a bag that contains 18 marbles. Eight marbles are red, 4 are green, and 6 are black. What is the minimum number of marbles that a blindfolded student would have to draw from the bag to be certain of having at least three marbles of the same color?
If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the max possible value for ab?
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?
A box contains 30 marbles of which 6 are red, 7 are blue, 8 are yellow, and the rest are green. Marbles are selected randomly from the box one at a time without replacement. The selection process stops as soon as 2 marbles of different colors have been selected. What is the greatest number of selections that might be needed in order to stop the process?
If x, y, and z are positive integers and 3x = 4y = 7z, then the least possible value of x + y + z is
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?