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Fractions and Decimals

Fractions and Decimals
0.15 / (0.5 / 15) = ?

4.5
40.5
None of these
400.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
(44.99)² - (15.01)² = ?

1100
1800
700
1500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

Fractions and Decimals
[ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?

2
4
1
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1

Fractions and Decimals
( 20 + 8 x 0.5 ) / ( 20 - ? ) = 12

20
18
16
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (20 + 8 x 0.5) / ( 20 - y) =12Then, 24 =12 x (20 - y)∴ 12y = 216⇒ y = 18

Fractions and Decimals
If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?

73/770
73/77
730/77
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77

Fractions and Decimals
√441.441 + √256.256 = ?

41
35
37
39

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √441.441 + √256.256= √441 + √256= (21 + 16) = 37

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