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Fractions and Decimals

Fractions and Decimals
[(0.87)³ + (0.13)³] / [(0.87)² - 0.87 x 0.13 + (0.13)²] = ?

1
3
2
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13= [(a + b ) (a² + b² - ab)] / (a² + b² - ab) = a + b = 0.87 + 0.13= 1

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

0.004096
0.4096
0.04096
4.096

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

1
4
10
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
The fraction ( 101 * 27/100000 ) in decimal form is :

10100.027.
101.00027
1010.0027
101000.27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

101 * 27 / 100000 = 101 + 27 / 100000 = 101 + .00027 = 101.00027.

Fractions and Decimals
In a polling booth, total number of voters is 1575 out of which 0.4 part are male voters. If a candidate gets 0.4 part of female votes, then find how many votes did the candidate get ?

456
656
556
756

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of male voters = 4/10 of 1575 = 4/10 x 1575 = 630 Number of female voters=1575 - 630 = 945 Now, total votes that candidate got = (6/10) x 630 + (4/10) x 945 = 378 + 378 = 756 

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

14
16
18
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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