Data Sufficiency

nitya34 wrote:In a certain game, a player will randomly select one marble each time. There are three kinds of marbles, red, blue, or green. For each of the green marbles he selected, he will earn 5 points. For each of the blue and red marbles he selected, he will lose 4 and 3 points, respectively. Did he make less than 10 selections during the game?

(1) He earned a total of 16 points during the game.
(2) He selected all the three kinds of marbles during the game.

OA.........--C

take both the statements together..
consider case 1:
5+5+5+5-3+5-4+5-4-3 = 16 and the no. of selections are 10.

case 2:
5+5+5+5+5-3+5-3-4-4+5-3+5-3-4= 16 and the no. of selections are 15 i.e. more than 10..

and if one has to take all 3 kinds of marbles, then minimum selection to get a total of 16 is 10..
so ans. to the question above is NO..
hence suff. So C is the correct choice.

I also got E. Is there an equation that one could set up for this? Under test conditions randomly writing out numbers until you reach 16 will be tedious...

there is a prob in ur vase 2: u havent selected any of the -4 marbles

still the ans must b E as we can it can be 13 marbles too

5x(7)-3(5)-4(1) = 16 and picks 7+5+1=13

i've edited the post above..please check..

answer should be C.

minimum no. of selections that we get is 10 as explained by above posters. therefore, answer is no, the minimum no. of selections cannot be less than 10. Hence the statements are sufficient.