適性-小数と分数の解決例

Q 1-0.36の分数は次のうちどれですか?

A -9 / 25

B -51 / 25

C -3 / 400

D -2081 / 250

Answer - A

Explanation

0.36 = 36/100 = 9/25

Q 2-2.04の分数は次のうちどれですか?

A -9 / 25

B -51 / 25

C -3 / 400

D -2081 / 250

Answer - B

Explanation

2.04 = 204/100 = 51/25

Q 3 -.0075の分数は次のうちどれですか?

A -9 / 25

B -51 / 25

C -3 / 400

D -2081 / 250

Answer - C

Explanation

.0075 = 75/10000 = 3/400

Q 4-8.324の分数は次のうちどれですか?

A -9 / 25

B -51 / 25

C -3 / 400

D -2081 / 250

Answer - D

Explanation

8.324 = 8324/1000 = 2081/250.

Q 5-3 / 8、7 / 12、2 / 3、16 / 25、14 / 15の正しい昇順は次のうちどれですか?

A -3 / 8 <7/12 <2/3 <16/25 <14/15

B -3 / 8 <7/12 <16/25 <2/3 <14/15

C -7 / 12 <3/8 <2/3 <16/25 <14/15

D -2 / 3 <7/12 <3/8 <16/25 <14/15

Answer - B

Explanation

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

Q 6-3 / 5、4 / 7、8 / 9、9 / 11、13 / 15の正しい降順は次のうちどれですか?

A -3 / 5> 4/7> 8/9> 9/11> 13/15

B -8 / 9> 13/15> 9/11> 3/5> 4/7

C -13 / 15> 8/9> 9/11> 3/5> 4/7

D -13 / 15> 8/9> 3/5> 9/11> 4/7

Answer - B

Explanation

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

Q 7-1.5、3、0.6のHCFは次のうちどれですか?

A -0.3

B -0.1

C -0.2

D -0.6

Answer - A

Explanation

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

Q 8-次のうち、1.5、3、0.6のLCMはどれですか?

A -3

B -2

C -1

D -6

Answer - A

Explanation

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

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

A -141.5436

B -144.5836

C -134.5678

D -132.8765

Answer - B

Explanation

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

Q 10-3.004-1.2996 =?

A -1.7044

B -0.7262

C -1.6723

D -0.3456

Answer - A

Explanation

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

Q 11-6.2958を10から引いたときの結果は次のうちどれですか?

A -3.7042

B -3.8675

C -2.8762

D -3.8762

Answer - A

Explanation

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

Q 12-1.71 x 1.3 =?

A -3.213

B -2.223

C -1.223

D -3.213

Answer - B

Explanation

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

Q 13-3.746 x 11.4 =?

A -42.7044

B -40.7654

C -34.8762

D -42.7862

Answer - A

Explanation

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

Q 14 -.5 x 0.5 x .005 x 50 =?

A -.00625

B -.0625

C -.625

D -6.25

Answer - A

Explanation

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.

Q 15-172 x 38 = 6536の場合、1.72 x 0.38とは何ですか?

A -65.36

B -0.06536

C -0.6536

D -6.536

Answer - B

Explanation

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

Q 16-0.0182 / 14 =?

A -13

B -0.013

C -0.0013

D -1.3

Answer - C

Explanation

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

Q 17-40.40 / 0.0008 =?

A -50.5

B -505

C -5050

D -50500

Answer - D

Explanation

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

Q 18-0.001 /?= 0.1

A -0.1

B -0.01

C -0.001

D -1.0

Answer - B

Explanation

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

Q 19-0.313131の分数とは何ですか?

A -3 / 7

B -4 / 9

C -3 / 9

D -31 / 99

Answer - B

Explanation

=0.313131 = 31/99

Q 20-0.5366666の分数とは何ですか?

A -61 / 300

B -69 / 550

C -161 / 300

D -8 / 45

Answer - C

Explanation

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