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Fractions and Decimals

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

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

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
If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?

730/77
73/770
73/77
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77

Fractions and Decimals
50.8 / 2540 = ?

0.002
None of these
0.02
0.0002

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

50.8 / 2540 = 508 / 25400 = 2 / 100 = .02

Fractions and Decimals
If 144 / 0.144 = 14.4 / x, then the value of x is:

14.4
0.0144
0.144
1.44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

144 / 0.144 = 14.4 / x144 x 1000 / 144 = 14.4 / x  x =14.4 / 1000 = 0.0144

Fractions and Decimals
The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

None of these
0.04
4
0.4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfect square, we must have11.98 * x = 2 * 11.98 * 0.02=> x = 0.04

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

4.096
0.4096
0.004096
0.04096

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096

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