能力傾向測試 - 小數與分數例題

答案 - A

解釋

 0.36 = 36/100 = 9/25

答案 - B

解釋

 2.04 = 204/100 = 51/25 

答案 - C

解釋

 .0075 = 75/10000 = 3/400

答案 - D

解釋

 8.324 = 8324/1000 = 2081/250.

答案 - B

解釋

 3/8 = 0.375, 7/12 = 0.583, 2/3 = 0.666, 16/25 = 0.64 and 14/15 = 0.933
 As .375 < .583 < .64 <.666 < .933
 ∴ 3/8 < 7/12 < 2/3 < 16/25 < 14/15

答案 - B

解釋

 3/5 = 0.6, 4/7 = 0.571, 8/9 = 0.888, 9/11 = 0.818, 13/15 = 0.866
 As 0.888 > 0.866 > 0.818 > 0.6 > 0.571
 ∴ 8/9 > 13/15 > 9/11 > 3/5 > 4/7

答案 - A

解釋

 Make same numbers of decimal places in the given numbers.
 Numbers become 1.5, 3.0 and 0.6
 Without decimal places, these numbers are 15, 30 and 6.
 H.C.F. of 15, 30 and 6 = 3
 ∴ H.C.F. of given numbers = 0.3

答案 - A

解釋

 Make same numbers of decimal places in the given numbers.
 Numbers become 1.5, 3.0 and 0.6
 Without decimal places, these numbers are 15, 30 and 6.
 L.C.M. of 15, 30 and 6 = 30
 ∴ l.C.M. of given numbers = 3

答案 - B

解釋

 We have
  34.64
   2.9
 107.035
    .0086
 ---------
 144.5836
 ---------
 ∴ 34.64 + 2.9 + 107.035 + .0086 = 144.5836

答案 - A

解釋

 We have
  3.004
 -1.2996
 -------
  1.7044
 -------
 ∴ 3.004 - 1.2996 = 1.7044

答案 - A

解釋

  We have
  10.0000
 - 6.2958
 -------
   3.7042
 -------
 ∴ 10 - 6.2958 = 3.7042

答案 - B

解釋

 171 x 13 = 2223
 Here sum of decimal places = 2 + 1 = 3
 ∴ 1.71 x 1.3 = 2.223

答案 - A

解釋

   3746
   x114
  ------
  14984
  3746x
 3746xx
 -------
 427044
 -------
 Here sum of decimal places = 3 + 3 = 6
 ∴ 3.746 x 11.4 = 42.7044

答案 - A

解釋

 We have 5 x 5 x 5 x 50 = 6250
 Sum of decimal places = 1 + 2 + 3 = 6
 ∴  .5 x 0.5 x .005 x 50 = 0.00625.

答案 - B

解釋

 Sum of decimal places = 2 + 3 = 5
 ∴ 1.72 x 0.38 = 0.06536.

答案 - C

解釋

 182 / 14 = 13
 Dividend contains 4 places of decimals.
 ∴ 0.0182 / 14 = 0.0013

答案 - D

解釋

 40.40 / 0.0008 = (40.40 x 10000)/(8 x 10000) = 404000/8 = 50500

答案 - B

解釋

 Let 0.001/x = 0.1 
 => x = (0.001/0.1)x (10/10) = .01/1 = .01

答案 - B

解釋

 =0.313131 = 31/99

答案 - C

解釋

 0.5366666 = (536 - 53)/900 = 483/900 = 161/300.