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Fractions and Decimals

Fractions and Decimals
The fraction ( 101 * 27/100000 ) in decimal form is :

101000.27
10100.027.
101.00027
1010.0027

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

101 * 27 / 100000 = 101 + 27 / 100000 = 101 + .00027 = 101.00027.

Fractions and Decimals
Evaluate : [(2.39)² - (1.61)²] / [2.39 - 1.61]

6
2
4
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression=(a² - b²) / (a - b)=[(a + b)(a - b)] / (a - b)= (a + b)= (2.39 + 1.61)= 4 

Fractions and Decimals
Arrange the fractions in ascending order: 3/4, 5/8, 7/12, 13/16

5/8 < 3/4 < 13/16 < 7/12
5/8 < 7/12 < 13/16 < 3/
5/8 < 7/12 < 3/4 < 13/16
7/12 < 5/8 < 3/4 < 13/16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5/8 = .625,7/12 = .5833, 3/4 = .75,13/16 = .8125So order will be 7/12 < 5/8 < 3/4 < 13/16

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 ?

7
8
6
5

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
(.125 + .027) / (.5 x .5 - 1.5 + .09) = ?

0.8
8
800
80

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8

Fractions and Decimals
If √4096 =64 ,then the value of √40.96 + √0.4096 + √0.004096 + √0.00004096 is ?

71.104
711.04
7.1104
.71104

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√4096/100+ √4096/10000 + √4096/1000000 + √4096/100000000=√4096 / 10 + √4096/ 100 + √4096/ 1000 + √4096/ 10000=64/10 + 64/100 + 64/1000 + 64/10000=6.4 + .64 + .064 + .0064 = 7.1104

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