Aptitude - Decimals & Fractions Solved Examples


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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

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.


aptitude_decimals.htm
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