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Fractions and Decimals

Fractions and Decimals
If 0.12 ÷ x² = 12, than x = ?

0.01
0.001
10
0.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.12 ÷ x² = 12 => 0.12/x² = 12=> x² = 0.12/12 = 0.01 => x = 0.1

Fractions and Decimals
The value of [(0.96)³- (0.1)³] / [(0.96)² + 0.096 + (0.1)²] is :

0.36
0.46
0.86
0.56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.96)³ - (0.1)³] / [(0.96)² + (0.96 x 0.1) + (0.1)²]= [(a³ - b³) / (a² + ab + b²)] = (a - b)= (0.96 - 0.1)= 0.86

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 ?

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

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
51.3 + 7.078 +1.38 + 0.9 = ?

80.658
50.658
60.658
70.658

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

51.300 + 7.078 + 1.380 + 0.900 = 60.658

Fractions and Decimals
Which of the following fraction is the largest?

8/9
18/23
16/21
14/17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Converting the given fractions into decimal form, we have,8/9 = 0.8818/23 = 0.7816/21 = 0.7614/17 = 0.82From the above, 0.88 is the largest.Corresponding fraction is 8/9.

Fractions and Decimals
A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?

450
300
150
600

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of  each piece = (1/8) m = 0.125 mRequired no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.

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