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Fractions and Decimals

Fractions and Decimals
What will be the value of (25.732)² - (15.732)²

420.64
416.64
418.64
414.64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Can be easily solved with following formula= (25.732 - 15.732 ) x (25.732 + 15.732)=414.64

Fractions and Decimals
(0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ?

0.14
0.014
1.4
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14

Fractions and Decimals
If x/y = 0.3, then (2x - y)/(2x + y) = ?

0.5
0.15
0.25
0.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25

Fractions and Decimals
If 12276 / 155 = 79.2 the value of 122.76 / 15.5 is ?

792
7.92
79.2
0.792

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

122.76 / 15.50 = 12276/1550= (12276 / 155) x (1/10) = 79.2 / 10 = 7.92

Fractions and Decimals
0.9 x 0.008=?

0.072
None of these
0.00072
0.72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 9 x 8=72∴ 0.09 x 0.008 = 0.00072 (Five place of decimal )

Fractions and Decimals
25 / .0005 = ?

500000
500
5000
50000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

25 / .0005= 250000 / 5= 50000

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