## Approximation

#### Approximation

Direction: What approximate value should come in place of the question mark(?) in the following question ? (Note that you are not expected to calculate the exact value).

1. (9.95)2 x (2.01)3 = 2 x (?)2
1. 12
2. 15
3. 25
4. 20

1. (9.95)2 x (2.01)3 = 2 x (?)2
Here, 9.95 is Approximated to 10, 2.01 is approximate to 2 because calculating the square or cubes of whole number is much easier than to calculate the square or cube of decimal numbers
2 x (?) 2 = ( 10)2 x (2)3 = 100 x 8 = 800

##### Correct Option: D

(9.95)2 x (2.01)3 = 2 x (?)2
Here, 9.95 is Approximated to 10, 2.01 is approximate to 2 because calculating the square or cubes of whole number is much easier than to calculate the square or cube of decimal numbers
2 x (?) 2 = ( 10)2 x (2)3 = 100 x 8 = 800
⇒ (?)2 = 400
∴ ? =20

1. 99.999 ÷ 0.99 ÷ 0.00991234 = ?
1. 100
2. 10000
3. 1000
4. 100000

1. 99.999 ÷ 0.99 ÷ 0.00991234 = 100 ÷ 1 ÷ 0.01

##### Correct Option: B

99.999 ÷ 0.99 ÷ 0.00991234
= 100 ÷ 1 ÷ 0.01 = 10000

1. [137 ÷ 17 x 3.99]/[4.02 x 3.98] = ?
1. 3.2
2. 3.5
3. 2.5
4. 2

1. [137 ÷ 17 x 3.99]/[4.02 x 3.98] = ? ≈ (137 ÷ 17 x 4) / (4 x 4)

##### Correct Option: D

[137 ÷ 17 x 3.99]/[4.02 x 3.98] = ? ≈ (137 ÷ 17 x 4) / (4 x 4) ≈ 2

1. 953.7 ÷ 95 0.9989 = 95?
1. 1.9
2. 3
3. 2.99
4. 2.7

1. ? = 953.7 ÷ 950.9989 = 95?
⇒ 95(3.7 - 0.9989) = 95?
⇒ 952.7011 = 95?

##### Correct Option: D

? = 953.7 ÷ 950.9989 = 95?
⇒ 95(3.7 - 0.9989) = 95?
⇒ 952.7011 = 95?
∴ ? = 2.7011 ≈ 2.7

1. 37.5/271.5 x 92 = 3?
1. 5
2. 4.5
3. 7
4. 6.50

1. 3 7.5 ÷ 271.5 x 92 = 3?
⇒ 37.5 ÷ (3)3 x 15 x 32 x 2 = 3 ?

##### Correct Option: C

3 7.5 ÷ 271.5 x 92 = 3?
⇒ 37.5 ÷ (3)3 x 15 x 32 x 2 = 3 ?
⇒ 37.5 - 4.5 + 4 = 3? ⇒ 37 = 3? ⇒ ? = 7