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Of the 504 girls in Radcliffe Day School,3/8​ are left-handed and 2/3 of those have brown hair. How many brown-haired, left-handed girls attend Radcliffe Day School?

(A)94

(B)126

(C)136

(D)156

(E)166

The Correct Answer
Explanation

A parabola with vertex (-3,-2) and axis of symmetry y = -2 crosses the y-axis at (0, -2 + 3). At what other point does the parabola cross the y-axis?

(A)No other point (B) (0,2 + 3) (C) (0,2 - 3) (D) (0,-2 - 3) (E) Cannot be determined from the given information

Correct Answer: D

For how many different integers b (consider positive integers, negative integers, and zero) does x2 + bx + 20 factor into linear factors with integer coefficients?

(A)1 (B) 2 (C) 3 (D) 4 (E) 6

Correct Answer: E

Sides , , and of square ABCD are broken up by points W, X, Y, and Z as shown below. If is 6 inches long, what is the area, in square inches, of the shaded region?

(A)36 (B) 32 (C) 20 (D) 16 (E) 12

Correct Answer: C

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