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Fractions and Decimals

Fractions and Decimals
? % of 10.8 =32.4

600
100
300
500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let k % of 10.8=32.4 ⇒ (k x 10.8) / 100 = 32.4⇒ k = (32.4 x 100 )/10.8 = 300

Fractions and Decimals
(3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ?

2
3
4
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1

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

50
60
70
40

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
16.7 + 12.38 - ? =10.09

18.99
20.99
14.99
16.99

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 16.7 + 12.38 - x =10.09∴ x = 16.7 + 12.38 - 10.09 = 18.99

Fractions and Decimals
450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ?

12532
13532
15532
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
(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) = ?

0
3
1
2

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

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