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Fractions and Decimals

Fractions and Decimals
Out of the fractions 4/7, 5/13, 6/11, 3/5 and 2/3 which is the second smallest fraction ?

4/7
6/11
3/5
5/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

4/7 = 0.57, 5/13 = 0.38, 6/11 = 0.54, 3/5 = 0.6 and 2/3 = 0.67Clearly, the second smallest fraction is 6/11

Fractions and Decimals
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

1.72
172
17.2
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

29.94 / 1.45 = 299.4 / 14.5 = [(2994 /14.5) x (1 / 10)] [ Here, Substitute 172 in the place of 2994/14.5 ]=172 / 10= 17.2

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/2
1/5
1/4
1/3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

Fractions and Decimals
Evaluate : [(2.39)² - (1.61)²] / [2.39 - 1.61]

2
6
3
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4 

Fractions and Decimals
5 x 0.25 x 6.301 x 0.00394=?

31.0324250
0.310324250
3.10324250
0.0310324250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here 5 x 25 x 6301 x 394=310324250Total decimal places = (2+3+5) = 10 ∴ 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250

Fractions and Decimals
If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to ?

41
21
31
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression 280.5 / 25.5 = 2805 / 255= 2805 / (2.55 x 100) = 1100 / 100 =11

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