Aptitude - Exemples de décimales et de fractions résolues

Q 1 - Quelle est la fraction suivante pour 0,36?

A - 25/09

B - 51/25

C - 3/400

D - 2081/250

Answer - A

Explanation

0.36 = 36/100 = 9/25

Q 2 - Quelle est la fraction suivante pour 2,04?

A - 25/09

B - 51/25

C - 3/400

D - 2081/250

Answer - B

Explanation

2.04 = 204/100 = 51/25

Q 3 - Quelle est la fraction suivante pour .0075?

A - 25/09

B - 51/25

C - 3/400

D - 2081/250

Answer - C

Explanation

.0075 = 75/10000 = 3/400

Q 4 - Quelle est la fraction suivante pour 8,324?

A - 25/09

B - 51/25

C - 3/400

D - 2081/250

Answer - D

Explanation

8.324 = 8324/1000 = 2081/250.

Q 5 - Lequel des éléments suivants est l'ordre croissant correct pour 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 - Lequel des éléments suivants est l'ordre décroissant correct pour 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 - Lequel des éléments suivants est le HCF de 1,5, 3 et 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 - Lequel des éléments suivants est le LCM de 1,5, 3 et 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 + 0,0086 =?

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 - Lequel des éléments suivants est le résultat lorsque 6,2958 est soustrait de 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 - 0,625

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 - Si 172 x 38 = 6536, qu'est-ce que 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 - Quelle est la fraction pour 0,313131?

A - 3/7

B - 4/9

C - 3/9

D - 31/99

Answer - B

Explanation

=0.313131 = 31/99

Q 20 - Quelle est la fraction pour 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.