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Fractions and Decimals

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

4
6
2
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
450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ?

12532
15532
13532
14532

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 450.271 + (369.422 ÷ 0.03) - (108.612 x 2.001)= 450 + 369/0.03 - (109 x 2) = 450 + 12300 - 218 = 12532

Fractions and Decimals
By how much is four-seventh of 560 greater than five-eighth of 400?

70
40
50
60

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have to find, the value of 4/7 of 560 - 5/8 of 400.4/7 x 560 - 5/8 x 400 = (4 x 80) - (5 x 50) = 320 - 250 = 70Hence, four-seventh of 560 is greater than five-eighth of 400 by 70.

Fractions and Decimals
\15.60 x 0.30=?

40.68
46.8
4.68
468

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∵ 1560 x 30 = 46800∴ 15.60 x 0.30 = 4.6800= 4.68 ( Four places of decimal )

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
0
2
1

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

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

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

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