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Fractions and Decimals

Fractions and Decimals
(10.3 * 10.3 * 10.3 + 1)/(10.3 * 10.3 - 10.3 + 1) is :

11.3
1.3
111.3
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a^3 + b^3 = (a+ b) * (a^2 + b^2 - ab)..( (10.3)^3 + (1)^3 ) / ((10.3)^2  + (1)^2 - (1 * 10.3))=> a + b = 10.3 + 1 = 11.3

Fractions and Decimals
[{(0.1)² - (0.01)²} / {0.0001 + 1 }] is equal to ?

25
75
50
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (0.01 - 0.0001) / (0.00001 + 1)= (.0099 / .0001) + 1 = 99 + 1= 100

Fractions and Decimals
In the year 2011, Shantanu gets a total of Rs. 3832.5 as his pocket allowance. Find his pocket allowance per day.?

Rs. 1.50
Rs. 10.50
Rs. 1000.50
Rs. 100.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Allowance per day = 3832.5 / 365 = Rs. 10.50

Fractions and Decimals
[(0.1667)(0.8333)(0.3333)] / [(0.2222)(0.6667)(0.1250)] is approximately equal to:

2.50
3.50
1.50
4.50

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression [(0.3333)/(0.2222)] x [((0.1667)(0.8333)) / ((0.6667)(0.1250))]=[(3333 / 2222)] x [((1/6) x (5/6)) / ((2/3) x (125/1000))]=[(3/2) x (1/6) x (5/6) x (3/2) x 8]=5 / 2=2.50

Fractions and Decimals
If x/y = 0.3, then (2x - y)/(2x + y) = ?

0.15
0.5
0.25
0.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x = 0.3y Then, (y - 2x)/(y + 2x)= y - 2(0.3y)/y + 2(0.3y)= y - 0.6y/y + 0.6y= 0.4y/1.6y= 0.4/1.6 = 0.25

Fractions and Decimals
By how much is 12% of 24.2 more than 10% of 14.2 ?

1.684
1.284
1.884
1.484

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required difference = (12 x 24.2) / 100 - (10 x 14.2) / 100= 2.904 -1.42 = 1.484

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