1. A binary operation * is defined on the set R, of real numbers by a * b = ab/4. Find the value of root 2 * root 6. a. root 3
b.3 root 2/4
c. root 3/ 2
d. root 2 / 2
2. two functions f and g are defined by f(x) = 3x - 1 and g(x) = 2x^3, evaluate fg(-2)
a. -49
b. -47
c. -10
d. -9
3. Express the force, F = ( 8N, 150) in the form ( a i + bj) where a and b are constants
a. (-4 root 3)i + 4 j
b. (2 root 3)i - 3 j
c. i - 4j
d. 2i - j
4. In a class of 50 students, 35 like science and 30 like History. what is the probability of selecting a student who likes both science and History
a. 0.10
b. 0.30
c. 0.60
d. 0.70
5. What is the value of r if the distance between the points ( 4, 2) and (1, r) is 3 units
a. 1
b. 2
c. 3
d. 4