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.