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Fractions and Decimals

Fractions and Decimals
The rational for the recurring decimal 0.125125......is

125/999
None of these
125/99
125/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.125125...... = 0.125 =   125/999.

Fractions and Decimals
Which of the following fractions is greater than 3/4 and less than 5/6?

4/5
2/3
9/10
1/2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 = 0.75,  5/6= 0.833,  1/2= 0.5,   2/3= 0.66,4/5= 0.8,   9/10= 0.9. Clearly, 0.8 lies between 0.75 and 0.833.4/5 lies between 3/4 and 5/6. 

Fractions and Decimals
[(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = ?

1
0
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²] = [(a - b)² + (a + b)²] / (a²+ b²) (Where a = 3.537 and b = 0.948)= 2(a² +b²) / (a² +b²) = 2

Fractions and Decimals
9.724 ÷ 100 = ?

0.09724
0.9724
None of these
9.724

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9.724 ÷ 100 = 0.09724Shift decimal two palaces to the left. i.e 100

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

3/7
11/13
5/7
9/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/3 = 0.846,9/11 = 0.818,3/4 = 0.75 and 5/7 = 0.714Clearly, 0.714 is the smallest and hence 5/7 is smallest fraction .

Fractions and Decimals
√441.441 + √256.256 = ?

41
39
37
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = √441.441 + √256.256= √441 + √256= (21 + 16) = 37

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