## Fractions

#### Fractions

1. The H.C.F. of 0.54, 1.8 and 7.2 is ?
1. 1.8
2. 0.18
3. .018
4. 18

1. H.C.F. = (H.C.F. of Numerators) / ( L.C.M. of Denominators)

##### Correct Option: B

The given number are 0.54,1.80 and 7.20
So given number can be represented as fraction 54/100, 180/100 and 720/100
H.C.F. of 54, 180 and 720 is 18
∴ H.C.F. of given number= 18 / 100
= 0.18

1. which of the following fraction are in ascending order ?
1. 16/19, 11/14, 17/22
2. 11/14, 16/19, 17/22
3. 17/22, 11/14, 16/19
4. 16/19, 17/22, 11/14

1. 16/19 =0.842,
11/14 =0.785 and
17/22 = 0.772

##### Correct Option: C

16/19 =0.842,
11/14 =0.785 and
17/22 = 0.772
∴ 0.772 < 0.785 < 0.842
or 17/22 < 11/14 < 16/19.

1. Exp. = (.35 x .0015) / (.25 x .07) written as a percentage is ?
1. 0.3 %
2. 3 %
3. 30 %
4. None of these

1. Exp. = (.35 x .0015) / (.25 x .07)
= ( 35 x 15) / (25 x 7 x 100)
= (3/100) x 100 %

##### Correct Option: B

Exp. = (.35 x .0015) / (.25 x .07)
= ( 35 x 15) / (25 x 7 x 100)
= (3/100) x 100 %
= 3%

1. The square root of (0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64) is ?
1. 24
2. 2.4
3. 0.024
4. None of these

1. Given expression =√(0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64)
= √( 324 x 81 x 4624) / (15625 x 289 x 729 x 64)
= √9 / 15625
= 3 /125

##### Correct Option: C

Given expression =√(0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64)
= √( 324 x 81 x 4624) / (15625 x 289 x 729 x 64)
= √9 / 15625
= 3 /125
= 0.024

1. 0.289/0.00121 = ?
1. 170 / 11
2. 17 / 110
3. 17 / 1100
4. 17 / 11

1. 0.289 / 0.00121
= √ 0.28900 / 0.00121
= √ 28900 / 121

##### Correct Option: A

0.289 / 0.00121
= √ 0.28900 / 0.00121
= √ 28900 / 121
= 170 / 11