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Fractions and Decimals

Fractions and Decimals
(44.99)² - (15.01)² = ?

1500
700
1800
1100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

Fractions and Decimals
What will come in place of question mark in the following equation ? 54.(?)3 + 543 + 5.43 = 603.26

5
8
7
3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x + 543 + 5.43 = 603.26.Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83Missing digit = 8.

Fractions and Decimals
When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

12
45
34
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.36 = 36/100 = 9/25.Sum of the numerator and denominator is 9 + 25 = 34

Fractions and Decimals
(1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) = ?

3
2
1
0

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³= (a² + ab + b²) / (a³ - b³) = (a² + ab + b²) / [(a-b) (a² + ab + b²)]= 1 / (a - b)= 1/ (1.04 - 0.04) = 1

Fractions and Decimals
(0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) = ?

0.014
0.14
1.4
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]= [a³ - b³ ] / [ a² + ab + b²] = [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]= (a - b) = (0.47 - 0.33) = 0.14

Fractions and Decimals
4.036 divided by 0.04 gives

1000.9
100.9
10000.9
10.9

ANSWER DOWNLOAD EXAMIANS APP
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