## Fractions

#### Fractions

1. 0.15 / (0.5 / 15) = ?
1. 4.5
2. 45
3. 0.03
4. 0.45

1. Let Y = 0.15 / (0.5 / 15)
= (15/100) / [(5/100) / 15)
= 4.5

##### Correct Option: A

Let Y = 0.15 / (0.5 / 15)
= (15/100) / [(5/100) / 15)
= 4.5

1. ( 17.28 / ? ) / (3.6 x 0.2) = 200
1. 120
2. 1.20
3. 12
4. 0.12

1. Let (17.28 / y) / (3.6 x 0.2) = 200
Then,17.28 / y = 200 x 3.6 x 0.2
∴ y = 17.28 / (200 x 3.6 x 0.2)
= 1728 / 200 x 36 x 2

##### Correct Option: D

Let (17.28 / y) / (3.6 x 0.2) = 200
Then,17.28 / y = 200 x 3.6 x 0.2
∴ y = 17.28 / (200 x 3.6 x 0.2)
= 1728 / 200 x 36 x 2
= 0.12.

1. 3420 / 19 = ( ? / 0.01) x 7
1. 35/9
2. 18/7
3. 63/5
4. None of these

1. Let 3420 / 19 = (y / 0.01) x 7
Then , y = ( 3420 / 19) x (0.01 / 7)
= 180 / 700

##### Correct Option: D

Let 3420 / 19 = (y / 0.01) x 7
Then , y = ( 3420 / 19) x (0.01 / 7)
= 180 / 700
= 9/35

1. 8.32 x 0.999 = ?
1. 0.831168
2. 8.31618
3. 8.31168
4. 8.31668

1. Given expression = 8.32 x 0.999
= 8.32 x (1- 0.001)
= 8.32 - 8.32 x 0.001

##### Correct Option: C

Given expression = 8.32 x 0.999
= 8.32 x (1-0.001)
= 8.32 - 8.32 x 0.001
=8.32 - .00832
= 8.31168.

1. 9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?
1. 13.25
2. 3.625
3. 4
4. 16

1. Given expression = a2 -2ab + b2 Where a =9.75 and b=5.75
= (a-b)2
= (9.75 - 5.75)2
= 42

##### Correct Option: D

Given expression = a2 -2ab + b2 Where a =9.75 and b=5.75
= (a-b)2
= (9.75 - 5.75)2
= 42
=16