Basic Numeracy/Quantitative Aptitude

205. In the figure below, A, B, C, and D are collinear, FC is parallel to ED, BE is perpendicular to ED, and the measures of FAB and EBA are as marked. What is the measure of FCB ?

	(a) 33°
	(b) 57°
	(c) 63°
	(d) 84°

206. Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?

	(a) x – y = 1
	(b) x + y = 25
	(c) x2 + y = 25
	(d) x2 + y2 = 25

Use the following information to answer questions 207–209.

Taher has decided to create a triangular flower bed border. He plans to use 3 pieces of rectangular lumber with lengths 4, 5, and 6 feet, as shown in the figure below. Points A, B, and C are located at the corners of the flower bed.

207. Taher plans to cut the 3 pieces of lumber for the flower bed border from a single piece of lumber. Each cut takes inch of wood off the length of the piece of lumber. Among the following lengths, in inches, of pieces of lumber, which is the shortest piece that he can use to cut the pieces for the flower bed border?

	(a) 178
	(b) 179
	(c) 180
	(d) 181

208. The measure of ABC in the figure is x°. Which of the following is an expression for ° ?

	(a) x°
	(b) 2x°
	(c) (90 + x)°
	(d) (180 – x)°

209. After arranging the flower bed, Taher decides that the flower bed would look more attractive if 1 of the angles in the triangle were a right angle. He decides to place the right angle at vertex A and to leave the lengths of AB and AC as 4 and 5 feet, respectively. To the nearest 0.1 foot, how long of a piece of lumber would he need to replace the 6-foot piece represented by BC ?

	(a) 3.0
	(b) 3.3
	(c) 6.0
	(d) 6.4

TOTAL

Detailed Solution

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