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Fractions and Decimals

Fractions and Decimals
3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = ?

2.0
1.5
0.5
1.0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = 3 / [3- { 273 / (3 x 91)}] = 3 / (3-1)= 3 / 2 = 1.5

Fractions and Decimals
25 / .0005 = ?

500
50000
5000
500000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

25 / .0005= 250000 / 5= 50000

Fractions and Decimals
(0.16)² - (0.12)² = ?

.112
0.0112
1.12
11.2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112

Fractions and Decimals
If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is ?

None of these
5/12
1/16
3/20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required fraction be p/q∵ p / (q + 3) = 1/3⇒ 3p - q = 3 ...(i)and, (p + 4) / q = 3/4 ⇒ 4p - 3q = -16 ...(ii)Solving these equations, we get p = 5, q = 12∴ Required fraction = 5/12

Fractions and Decimals
( 17.28 / ? ) / (3.6 x 0.2) = 200

0.11
0.13
0.10
0.12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let (17.28 / y) / (3.6 x 0.2) = 200Then,17.28 / y = 200 x 3.6 x 0.2∴ y = 17.28 / (200 x 3.6 x 0.2) = 1728 / 200 x 36 x 2 = 0.12.

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

4
3
1
2

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

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