Alex55 wrote:
On a radio call-in show, the 6th caller and every 6th caller thereafter were given a T-shirt. Also, the 15th caller and every 15th caller thereafter were given movie tickets. A total of 78 people called the show, all at different times. How many of the callers were given neither a T-shirt nor movie tickets? _________ callers
Multiples of 6: 78/6 or 13; Multiples of 15: 75/15 or 5; Common to both 30 and 60. So people who get gift 13+5-2 or 16...Who do not get gift = 78-16 = 62
Alex55 wrote:
Last week, each employee at a small company, except for one employee, made a donation to a certain charity. The average (arithmetic mean) amount of the donations was $39 per person. This week, after the remaining employee made a donation, the average amount of the donations increased to $40 per person. If the remaining employee’ s donation was between $54 and $61, which of the following could be the total number of employees at the company? Indicate all such numbers.
Total after extra employee donates 54 = 39x+54 = 40(x+1), where x is initial number who donated...x=14..Total =14+1 = 15..........Next if extra employee donated 61, then 39x+61=40(x+1)..x=21 or Total = 22.....Number of employees can be 15,16,17,18,19,20,21,22
carcass, sure enough OA should be there. It tells us taht the question has some source, and if OA is wrong, we can tell the member that the source can be discarded.