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Fractions and Decimals

Fractions and Decimals
( 0.5 x 0.5 x 0.5 x 0.6 x 0.6 x 0.6 ) / ( 0.5 x 0.5 - 0.3 + 0.6 x 0.6 ) = ?

1.1
11
11.1
111.1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]= (a³+b³) / ( a²-ab+b²)= a + b= 0.5 + 0.6= 1.1

Fractions and Decimals
3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = ?

1.5
1.0
0.5
2.0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}] = 3 / [3- { 273 / (3 x 91)}] = 3 / (3-1)= 3 / 2 = 1.5

Fractions and Decimals
How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?

5
6
8
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum of the decimal places = 7 .Since  the last digit to the extreme right will be zero ( 5 * 4 = 20),  so there will be  6  significant digits to the right of the decimal point....

Fractions and Decimals
(.24 x .35 ) / (.14 x .15 x .02) is equal to ?

188
182
200
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(.24 x .35) / (.14 x .15 x .02)= (24 x 35 x 100 ) / (14 x 15 x 2)=200 

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

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

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
Find the sum 3/10 + 5/100 + 8/1000 in decimal form ?

35.8
3.58
None of these
0.358

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/10 + 5/100 + 8/1000= 0.3 + 0.05 + 0.008 = 0.358

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