# 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

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

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

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

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

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

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

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

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

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

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

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

Explanation

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

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

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

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

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

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

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

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

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