Numbers - Common Sense

SOURCE:COMPETITION
Number of Problems: 9. : (Book)

Members of the Rockham Soccer League buy socks and T-shirts. Socks cost $4 per pair and each T-shirt costs $5 more than a pair of socks. Each member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games. If the total cost is $2366, how many members are in the League?

$mathrm{(A) } 77qquad mathrm{(B) } 91qquad mathrm{(C) } 143qquad mathrm{(D) } 182qquad mathrm{(E) } 286$

You and five friends need to raise $1500$ dollars in donations for a charity, dividing the fundraising equally. How many dollars will each of you need to raise?

$mathrm{(A) } 250qquad mathrm{(B) } 300 qquad mathrm{(C) } 1500 qquad mathrm{(D) } 7500 qquad mathrm{(E) } ...$

As shown below, convex pentagon $ABCDE$ has sides $AB=3$ , $BC=4$ , $CD=6$ , $DE=3$ , and $EA=7$ . The pentagon is originally positioned in the plane with vertex $A$ at the origin and vertex $B$ on the positive $x$ -axis. The pentagon is then rolled clockwise to the right along the $x$ -axis. Which side will touch the point $x=2009$ on the $x$ -axis?

$ext{(A) } overline{AB}qquad ext{(B) } overline{BC}qquad ext{(C) } overline{CD}qquad ext{(D) } overline{DE}qquad...$