能力倾向测试 - 小数与分数例题



题1 - 0.36 的分数是多少?

A - 9/25

B - 51/25

C - 3/400

D - 2081/250

答案 - A

解释

 0.36 = 36/100 = 9/25

题2 - 2.04 的分数是多少?

A - 9/25

B - 51/25

C - 3/400

D - 2081/250

答案 - B

解释

 2.04 = 204/100 = 51/25 

题3 - 0.0075 的分数是多少?

A - 9/25

B - 51/25

C - 3/400

D - 2081/250

答案 - C

解释

 .0075 = 75/10000 = 3/400

题4 - 8.324 的分数是多少?

A - 9/25

B - 51/25

C - 3/400

D - 2081/250

答案 - D

解释

 8.324 = 8324/1000 = 2081/250.

答案 - B

解释

 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

解释

 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

题7 - 1.5、3 和 0.6 的最大公约数是多少?

A - 0.3

B - 0.1

C - 0.2

D - 0.6

答案 - A

解释

 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

题8 - 1.5、3 和 0.6 的最小公倍数是多少?

A - 3

B - 2

C - 1

D - 6

答案 - A

解释

 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

题9 - 34.64 + 2.9 + 107.035 + .0086 = ?

A - 141.5436

B - 144.5836

C - 134.5678

D - 132.8765

答案 - B

解释

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

题10 - 3.004 - 1.2996 = ?

A - 1.7044

B - 0.7262

C - 1.6723

D - 0.3456

答案 - A

解释

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

题11 - 从 10 中减去 6.2958 的结果是多少?

A - 3.7042

B - 3.8675

C - 2.8762

D - 3.8762

答案 - A

解释

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

题12 - 1.71 x 1.3 = ?

A - 3.213

B - 2.223

C - 1.223

D - 3.213

答案 - B

解释

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

题13 - 3.746 x 11.4 = ?

A - 42.7044

B - 40.7654

C - 34.8762

D - 42.7862

答案 - A

解释

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

题14 - 0.5 x 0.5 x 0.005 x 50 = ?

A - .00625

B - .0625

C - .625

D - 6.25

答案 - A

解释

 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.

题15 - 如果 172 x 38 = 6536,那么 1.72 x 0.38 是多少?

A - 65.36

B - 0.06536

C - 0.6536

D - 6.536

答案 - B

解释

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

题16 - 0.0182 / 14 = ?

A - 13

B - 0.013

C - 0.0013

D - 1.3

答案 - C

解释

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

题17 - 40.40 / 0.0008 = ?.

A - 50.5

B - 505

C - 5050

D - 50500

答案 - D

解释

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

题18 - 0.001 / ? = 0.1

A - 0.1

B - 0.01

C - 0.001

D - 1.0

答案 - B

解释

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

题19 - 0.313131 的分数是多少?

A - 3/7

B - 4/9

C - 3/9

D - 31/99

答案 - B

解释

 =0.313131 = 31/99

题20 - 0.5366666 的分数是多少?

A - 61/300

B - 69/550

C - 161/300

D - 8/45

答案 - C

解释

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