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Fractions and Decimals

Fractions and Decimals
The number 0.127 is how much greater than 1/8 ?

1/300
1/800
1/500
1/1000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.127 expressed as a fraction = 127/10001/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000The difference is 2/1000, which is 1/500

Fractions and Decimals
Out of the fractions 5/7, 7/13, 4/7, 4/15 and 9/14, which is the third highest?

4/15
7/13
5/7
4/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/7 = 0.71, 7/13 = 0.54, 4/7 = 0.57, 4/15 = 0.27, 9/14 = 0.64Clearly, 4/7 is the third highest fraction.

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

0.30
0.34
0.28
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
(44.99)² - (15.01)² = ?

1100
700
1800
1500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

Fractions and Decimals
If 5/6 of a property worth be Rs.976500 then the value of 3/5 of the property is:

Rs. 803080
Rs. 703080
Rs. 903080
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the worth of total property be Rs.XWe have to find 3/5 of X.Given that, 5/6 th of the property = Rs.976500i.e., 5/6 x X = 976500X = 976500 x 6/5And, 3/5 of X = 3/5 x 976500 x 6/5 = 18 x 39060 = 703080Hence the answer is Rs. 703080

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

0.56
0.86
0.46
0.36

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

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