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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 :

1.3
11.3
None of these
111.3

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

1.5
2.0
1.0
0.5

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

0.4
0.04
None of these
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
(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ?

20
5
30
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4)  = 4.5 x (3.7 + 6.3)/1.5 x (8.4 - 7.4)     = 4.5 x 10/1.5 x 1 = 30

Fractions and Decimals
What will be the value of (25.732)² - (15.732)²

416.64
414.64
418.64
420.64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Can be easily solved with following formula= (25.732 - 15.732 ) x (25.732 + 15.732)=414.64

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

0.358
3.58
35.8
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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