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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] = ?

2
1
3
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
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
Which of the following fraction does not lie between 5/6 and 8/15?

3/4
4/5
2/3
6/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting each of the given fractions into decimal form, we get,5/6 = 0.838/15 = 0.532/3 = 0.663/4 = 0.754/5 = 0.86/7 = 0.85Clearly, 0.85 does not lie between 0.83 and 0.53Hence the required fraction is 6/7.

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

0.34
0.28
0.30
0.32

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
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
556
756
656

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
√441.441 + √256.256 = ?

39
37
35
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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