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Fractions and Decimals

Fractions and Decimals
(0.29)2 - (0.01)2/0.3 = ?

0.32
0.30
0.34
0.28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28

Fractions and Decimals
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.86
0.36
0.56
0.46

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

Fractions and Decimals
Two times of the third of three consecutive even integers is three times of the first. Then the second integer is

4
10
1
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10

Fractions and Decimals
0.002 * 0.5 = ?

0.01
1
0.001
0.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2 * 5 = 10.Sum of decimal places =  4..002  * .5 = 0.0010 = 0.001 

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

0.004096
4.096
0.4096
0.04096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

Fractions and Decimals
[(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] = ?

1000
10000
100000
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²) = 100

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