Aptitude - Decimals & Fractions Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Decimals and Fractions. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - 0.00005755 when expressed in powers of 10 is

A - 5755x10-5

B - 57.55x10-5

C - 5.755x10-5

D - 5.755x10-9

Explanation

```5.755x10-5
```

Explanation

``` 0.000055/0.22=55x10-6/22x10-2=2.5x10-4=0.0025
```

Q 3 - The decimal 0.024 in the fraction form is

A - 24/100

B - 24/1000

C - 24/500

D - 24/10

Explanation

```0.024  = 24/1000
```

Q 4 - The sum of the numerator and denominator of a fraction is 15. If the numerator is increased by 5, the fraction becomes 1/4. Find the fraction.

A - 8/7

B - 7/8

C - 7/9

D - 9/7

Explanation

```Let numerator be x
denominator be y
x+y=15... (1)
(x+5)/y = 1/4
4(x+5) =y
4x+20 =y ... (2)
Solving equation (1) & (2) we get
x=7 y=8
the fraction is 7/8.
```

Q 5 - 0.6 + .66 + .066 + 6.606 =?

A - 6.744

B - 6.738

C - 7.932

D - 7.388

Explanation

``` 0.6
0.66
0.066
6.606
-----
7.932
-----
```

Q 6 - 0.9 / 0.75 = ?

A - 1.4

B - 1.8

C - 1.1

D - 1.2

Explanation

```
0.9 / 0.75 = 0.90/0.75 = 90/75 = 6/5 = 1.2
```

Q 7 - 1.07 x 65 + 1.07 x 26 + 1.07 x 9 = ?

A - 10.73

B - 10.7

C - 107

D - 1.07

Explanation

```
1.07 x 65 + 1.07 x 26 + 1.07 x 9 = 1.07 x (65 + 26 + 9) = 1.07 x 100 = 107
```

Q 8 - (0.07 x 0.07 x 0.07 - 0.05 x 0.05 x 0.05) / (0.07 x 0.07 + 0.07 x 0.05 + 0.05 x 0.05)= ?

A - 0.002

B - 0.02

C - 0.2

D - 2

Explanation

```
As a3 - b3 = (a-b)(a2-ab + b2)
Thus (a3 - b3) / (a2-ab + b2)  = a - b
∴ (0.07 x 0.07 x 0.07 - 0.05 x 0.05 x 0.05) / (0.07 x 0.07 + 0.07 x 0.05 + 0.05 x 0.05) = 0.07 - 0.05 = 0.02
```

Q 9 - Which of the following is the smallest fraction?

A - 9/13

B - 7/26

C - 28/39

D - 33/52

Explanation

```
9/13 = 0.692, 7/26 = 0.653, 28/39 = 0.717, 33/52 = 0.634
∴ 33/52 is the smallest fraction.
```

Q 10 - If a tank gets filled by 18 buckets of water where capacity of each bucket is 9 litres. How many buckets are required to fill the same tank if its capacity is 13.5 litres?

A - 12

B - 13.5

C - 24

D - 25

Explanation

```
tank capacity = 18 x 9 = 162 litres
required number of buckets = 162 / 13.5 = 162 x 2/27 = 12.
```

aptitude_decimals.htm