Other Math Answers

Question 1 : If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 4, 7, 10}, B = {2, 5, 8}. Find
A
�
?
?
∩
B
�
?
?
A�??∩B�??

{1, 3, 6, 9}
{1,3, 7 8,10}
{2, 4, 6, 8, 10}
{1, 3, 4, 5, 6}
Question 2 : A market survey was conducted to determine consumer acceptance for a group of products. The survey revealed the following about three products A, B, & C. of 155 people interviewed, it was discovered that,74 like product A, 81 like product B,60 like product C,27 like product A & B, 25 like products A & C,35 like products B & C and 12 did not like any of the three products.Determine the number of people out of those interviewed that liked all three products. Determine the number of people out of those interviewed that liked all three products.
8
7
15
10

The vertices of a triangle ΔABC are Apq (,) , B(,) r s ,Cuv (,) . Assume that these
coordinates satisfy
2 34 0
234 0
pru
qsv
⎧ ++ = ⎨
⎩ ++ =
and the origin O(0,0) lies in the interior
of ΔABC . If (area of ΔOBC )=r(area of ΔABC ), then r =
(a) 2
9
(b) 4
9
(c) 2
7
(d) 3
7
(e) 4
7

Let 2
a = cos( ) π ，Which of the following is true？
(a) a = −1 (b) 1 1
2
− < ≤− a (c) 1 0
2
− < ≤ a (d) 1 0
2
< a ≤ (e) 1 1
2
< ≤

How many lines on the coordinate plane that has distance 1 to the originO , (0 0) and
distance 2 to the point A , (3 0)？
(a) 1 (b) 2 (c) 3 (d) 4 (e) infinitely many

If 3 2 f () 2 5 xx xx = − −+ , then the remainder of gx f f x ( ) ( ( )) = divided by ( 2) x − is
(a) 3 (b) 5 (c) 7 (d) 9 (e) 11

Three non-negative integers satisfy (x,y,z) 34x+51y=6z.If y and z are
primes, what is x+y+z?