1. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

a. 32

b. 48

c. 36

d. 60

2. How many 4 - letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

a. 40

b. 400

c. 5040

d. 2520

3. Eric works at the local art museum. He has 10 pieces of art to choose from, but he can only hang 3 of the frames. How many possible ways can Eric choose and then arrange three frames?

a. 30

b. 90

c. 650

d. 720

4. Mark wants to calculate his calculus grade. The teacher's policy is that the tests count 40%, quizzes 20%, homework 10%, projects 15% and the final exam is 15%. If Marks's test average is 92, his quizzes are 95, his homework is 100, projects 90 and final exam is 92, what will his final grade in the class be?

a. 93.6

b. 93.7

c. 93.1

d. 93.8