Questions 9-10 refer to the following definition:

For any positive integer h, let represent the greatest even integer that divides h ; for example

= 20

1. =

   (A)     10    
   (B)    6
   (C)    15
   (D)     60
   (E)     30
   

2. Which of the following is equal to ?

   (A)     55
   (B)     5
   (C)     1
   (D)     25
   (E)     none
   

    

3. 

   In the figure above, if Ð BCD = 50, then w = ?

   (A)     50
   (B)     130
   (C)     115
   (D)     25
   (E)     65
   

4. 

   Three circles L, M, and N are shown above. The area of L is twice that of M and the area of M is twice that of N. If the area of the circle M is 8pð what is the sum of the areas of all the circles?

   (A)    4p
   (B)    28p
   (C)    56p
   (D)    14p
   (E)    16p
   

5. 

    

   Segment KM is divided into two segments (KL and LM) with their respective lengths as shown above. If L divides KM such that LM = 2 (KL), which of the following statements is true?

   (A)    x = y
   (B)    7x = y
   (C)    5y = 7x
   (D)    5x = y
   (E)    4y = 5
   

    

6. Harry buys one pair of socks and two shirts for $ 4.5. Lucy buys four pairs of socks and three shirts for $ 8.0. If a pair of socks costs ’x’ dollars and the shirts cost ’y’ dollars each, what is the value of ’y’?

   (A)    2.5
   (B)    0.5
   (C)    4
   (D)    1
   (E)    2
   

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Index

Test 3

Test 4