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新sat数学练习题附答案解析(十)

2023.08.14 12:18

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  1. The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?

  I 11

  II 1

  III 7

  A. I only

  B. II only

  C. I and II only

  D. II and III only

  E. I, II, or III.

  Correct Answer: E

  解析:

  Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11, but anywhere in between is possible.

  2. √5 percent of 5√5 =

  A. 0.05

  B. 0.25

  C. 0.5

  D. 2.5

  E. 25

  Correct Answer: B

  解析:

  We can write the statement mathematically, using x to mean ‘of’ and /100 for ‘per cent’. So ( √5/100) x 5√5 = 5 x 5 /100 = 0.25

  3. If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?

  A. P

  B. Q

  C. R

  D. S

  E. T

  Correct Answer: D

  解析:

  If pqr = 1, none of these variable can be zero. Since spr = 0 , and since p and r are not zero, s must be zero. (Note that although rst = 0, and so either s or t must be zero, this is not sufficient to state which must be zero)

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