SAT Mc Graw Hill 2011

CHAPTER 2 / DIAGNOSTIC SAT 51

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3. 29 apples, 21 pears, and 64 oranges are to be
   distributed among three baskets, with each bas-
   ket getting an equal number of apples, each
   basket getting an equal number of pears, and
   each basket getting an equal number of oranges.
   If as much of the fruit as possible is distributed
   in this way, what fruit will remain undistributed?
   (A) 2 apples, 2 pears, and 1 orange
   (B) 2 apples, 1 pear, and 1 orange
   (C) 2 apples and 1 orange
   (D) 1 pear and 1 orange
   (E) 1 apple only


4. For all values of xand y,let x & ybe defined by
   the equation x & y=x(x−1) +y(y−1). What is
   the value of 1 & 2?
   (A) 1
   (B) 2
   (C) 3
   (D) 4
   (E) 5


5. In ∆ABC, AB=15 and BC=9. Which of the
   following could notbe the length of AC?
   (A) 5
   (B) 7
   (C) 9
   (D) 16
   (E) 22


6. What is the surface area of a cube that has a vol-
   ume of 64 cubic centimeters?
   (A) 64 square centimeters
   (B) 96 square centimeters
   (C) 256 square centimeters
   (D) 288 square centimeters
   (E) 384 square centimeters
   7. The average (arithmetic mean) of x,2, 6, and 10
   is 8. What is the medianof x,2, 6, and 10?
   (A) 4
   (B) 6
   (C) 7
   (D) 8
   (E) 9

Note:Figure not drawn to scale.

8. In the figure above, PS=SQand SQ=QT.
   Which of the following expresses yin terms
   of x?
   (A)

(B) 90 −x

(C)

(D) 180 − 2 x

(E) 180 −x

90

2

−

x

x

2

x° y°

S

P Q