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Fractions and Decimals

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 ) = ?

111.1
11.1
11
1.1

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 √4096 =64 ,then the value of √40.96 + √0.4096 + √0.004096 + √0.00004096 is ?

.71104
711.04
7.1104
71.104

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√4096/100+ √4096/10000 + √4096/1000000 + √4096/100000000=√4096 / 10 + √4096/ 100 + √4096/ 1000 + √4096/ 10000=64/10 + 64/100 + 64/1000 + 64/10000=6.4 + .64 + .064 + .0064 = 7.1104

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

700
1800
1100
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
9.75 x 9.75 - 2 x 9.75 x 5.75 + 5.75 x 5.75 = ?

15
18
17
16

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
By how much is four-seventh of 560 greater than five-eighth of 400?

70
40
60
50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find, the value of 4/7 of 560 - 5/8 of 400.4/7 x 560 - 5/8 x 400 = (4 x 80) - (5 x 50) = 320 - 250 = 70Hence, four-seventh of 560 is greater than five-eighth of 400 by 70.

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

4.096
0.4096
0.004096
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

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