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Fractions and Decimals

Fractions and Decimals
The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is:

1.25
125
0.125
12.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125

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

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

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
[ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] = ?

2
1
3
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression =(.6)³ + (.4) ³ + 3 x .6 x .4 x (.6 + .4)= a³ + b³ + 3ab (a+b) = (a+b)³= (.6 + .4)³ = 1³ = 1

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

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

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

3
2
1
0

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
\15.60 x 0.30=?

40.68
468
46.8
4.68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 1560 x 30 = 46800∴ 15.60 x 0.30 = 4.6800= 4.68 ( Four places of decimal )

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