Aptitude - Decimals & Fractions Solved Examples

Q 1 - Which is the following is fraction for 0.36?
A - 9/25
B - 51/25
C - 3/400
D - 2081/250
Answer - A
Explanation
 0.36 = 36/100 = 9/25

Q 2 - Which is the following is fraction for 2.04?
A - 9/25
B - 51/25
C - 3/400
D - 2081/250
Answer - B
Explanation
 2.04 = 204/100 = 51/25 

Q 3 - Which is the following is fraction for .0075?
A - 9/25
B - 51/25
C - 3/400
D - 2081/250
Answer - C
Explanation
 .0075 = 75/10000 = 3/400

Q 4 - Which is the following is fraction for 8.324?
A - 9/25
B - 51/25
C - 3/400
D - 2081/250
Answer - D
Explanation
 8.324 = 8324/1000 = 2081/250.

Q 5 - Which of the following is the correct ascending order for 3/8, 7/12, 2/3, 16/25, 14/15?
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 - Which of the following is the correct descending order for 3/5, 4/7, 8/9, 9/11, 13/15?
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 - Which of the following is the H.C.F. of 1.5, 3 and 0.6?
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 - Which of the following is the L.C.M. of 1.5, 3 and 0.6?
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 - Which of the following is the result when 6.2958 is subtracted from 10?
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 - If 172 x 38 = 6536, what is 1.72 x 0.38?
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 - What is fraction for 0.313131?
A - 3/7
B - 4/9
C - 3/9
D - 31/99
Answer - B
Explanation
 =0.313131 = 31/99

Q 20 - What is fraction for 0.5366666?
A - 61/300
B - 69/550
C - 161/300
D - 8/45
Answer - C
Explanation
 0.5366666 = (536 - 53)/900 = 483/900 = 161/300.


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