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Fractions and Decimals

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

0.34
0.30
0.32
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
9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?

18
15
16
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Fractions and Decimals
( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ?

11.1
11
1.1
111.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1

Fractions and Decimals
If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

71/74
73/77
61/63
65/67

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x / y  = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.

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

100000
100
10000
1000

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

Fractions and Decimals
If √15 = 3.88, the value of √5/3 is ?

1290
1.29
12.9
129

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√5/3 = √15/9= √15/3= 3.88/3 = 1.29

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